LIN Jia-hao, ZHANG Ya-hui, ZHAO Yan. The PseudoExcitation Method and Its Industrial Applications in China and Abroad[J]. Applied Mathematics and Mechanics, 2017, 38(1): 1-31. doi: 10.21656/1000-0887.370578
Citation: LIN Jia-hao, ZHANG Ya-hui, ZHAO Yan. The PseudoExcitation Method and Its Industrial Applications in China and Abroad[J]. Applied Mathematics and Mechanics, 2017, 38(1): 1-31. doi: 10.21656/1000-0887.370578

The PseudoExcitation Method and Its Industrial Applications in China and Abroad

doi: 10.21656/1000-0887.370578
Funds:  The National Natural Science Foundation of China(18972017;19342003;19332030;19772009;10072015;10472023;10972048;90815023);The National Key Technology R&D Program of China(2009BAG12A04)
  • Received Date: 2016-09-29
  • Publish Date: 2017-01-15
  • Since the first paper on the pseudoexcitation method (PEM) to compute structural random responses was published in 1985, it has gradually been accepted and applied in many industrial communities and resolved a great number of important and difficult problems. Up to date, it has not only been applied by many engineers and experts through technical papers or engineering guidelines in China, but also been introduced in detail in special chapters of some internationally published engineering handbooks, and practically used by some foreign experts. This is a review paper based on over two hundred selected papers published worldwide (mostly in China) that use or develop the PEM in eleven industrial fields, as well as some typical comments given by wellknown scholars. It is hoped that this paper may help more engineers and researchers to have a more extensive understanding of the PEM, and encourage more comprehensive and effective engineering applications of the random vibration theory and achievements.
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  • [1]
    Clough R W, Penzien J. Dynamics of Structures [M]. New York: McGraw-Hill Inc, 1993.
    Newland D E. An Introduction to Random Vibration and Spectral Analysis [M]. UK: Longmans, 1975.
    Lin Y K. Probabilistic Theory of Structural Dynamics [M]. New York: McGraw-Hill, 1967.
    林家浩. 随机地震响应的确定性算法[J]. 地震工程与工程振动, 1985,5(1): 89-93.(LIN Jia-hao. A deterministic method for the computation of stochastic earthquake response[J]. Earthquake Engineering and Engineering Vibration,1985,5(1): 89-93.(in Chinese))
    der Kiureghian A, Neuenhofer A. Response spectrum method for multi-support seismic excitations[J]. Earthq Eng Struct D,1992,21: 713-740.
    Ernesto H Z, Vanmarcke E H. Seismic random vibration analysis of multi-support structural systems[J]. Journal of Engineering Mechanics,1994,120(5): 1107-1128.
    der Kiureghian A, Neuenhofer A. A discussion on ‘Seismic random vibration analysis of multi-support structural systems’[J]. J Eng Mech-ASCE,1995,121: 1037.
    Ernesto H Z, Vanmarcke E H. Closure on the discussion[J]. J Eng Mech-ASCE,1995,121: 1038.
    LIN Jia-hao, ZHANG Wen-shou, LI Jian-jun. Structural responses to arbitrarily coherent stationary random excitations[J].  Computers & Structures,1994,50(5): 629-633.
    N·C·尼格姆. 随机振动概论[M]. 何成慧, 等译. 上海: 上海交通大学出版社, 1985.(Niger N C. Introduction to Random Vibration [M]. HE Cheng-hui, et al transl. Shanghai: Shanghai Jiao Tong University Press, 1985.(Chinese version))
    Priestley M B. Power spectral analysis of non-stationary random processes[J]. Journal of Sound and Vibration,1967,6(1): 86-97.
    Lin J H, Zhang W S, Williams F W. Pseudo-excitation algorithm for non-stationary random seismic response[J].  Engineering Structures,1994,16(4): 270-276.
    Lin J H, Sun D K, Sun Y, et al. Structural responses to non-uniformly modulated evolutionary random seismic excitations[J]. Communications in Numerical Methods in Engineering,1997,13(8): 605-616.
    钟万勰. 应用力学对偶体系[M]. 北京: 科学出版社, 2002.(ZHONG Wan-xie. The Dual System of Applied Mechanics [M].  Beijing: Science Press, 2002.(in Chinese))
    Lin J H, Zhang Y H. Seismic random vibration of long-span structures[M]// Vibration and Shock Handbook.Boca Raton, FL, USA: CRC Press, 2005.
    林家浩, 智浩, 郭杏林. 平稳随机振动荷载识别的逆虚拟激励法(一)[J]. 计算力学学报, 1998,15(2): 127-136.(LIN Jia-hao, ZHI Hao, GUO Xin-lin. Inverse pseudo excitation method for loading identification of stationary random vibration (1)[J]. Chinese Journal of Computational Mechanics,1998,15(2): 127-136.(in Chinese))
    Lin J H, Guo X L, Zhi H, et al. Computer simulation of structural random loading identification[J]. Computers & Structures,2001,79(4): 375-387.
    Wang J, Lin J H. Seismic random vibration analysis of hysteretic systems with pseudo excitation method[J].  Acta Mechanica Solida Sinica,2000,13(3): 246-253.
    林家浩, 张亚辉. 随机振动的虚拟激励法[M]. 北京: 科学出版社, 2004.(LIN Jia-hao, ZHANG Ya-hui. Virtual Excitation Method for Random Vibration [M]. Beijing: Science Press, 2004.(in Chinese))
    林家浩, 钟万勰. 辛数学·精细积分·随机振动及应用[M]//当代科学技术基础理论与前沿问题研究丛书. 合肥: 中国科学技术大学出版社, 2008.(LIN Jia-hao, ZHONG Wan-xie. Symplectic Mathematics, Precise Integration, Random Vibration and Applications [M]// Contemporary Science and Technology Fundamental Theory and Frontier Issues.Hefei: Press of University of Science and Technology of China, 2008.(in Chinese))
    公路工程抗震设计规范: JTJ 004—89[S]. 1989.(Specification of earthquake resistance design of highway engineering: JTJ 004—89[S]. 1989.(in Chinese))
    公路桥梁抗震设计细则: JTG/T B02-01—2008[S]. 2008.(Guidelines for seismic design of highway bridges: JTG/T B02-01—2008[S]. 2008.(in Chinese))
    Lin J H, Zhang Y H, Zhao Y. Seismic random response analysis[M]//Bridge Engineering Handbook.2nd ed. Boca Raton, FL, USA:  CRC Press, 2014.
    程纬. 随机地震动谱拟合模型及大跨度桥梁随机地震反应分析[D]. 博士学位论文. 长沙: 湖南大学, 2000.(CHEN Wei. Random earthquake spectra fitting model and random seismic response analysis of long-span bridges[D]. PhD Thesis. Changsha: Hunan University, 2000.(in Chinese))
    范立础, 王君杰, 陈玮. 非一致地震激励下大跨度斜拉桥响应特征[J]. 计算力学学报, 2001,18(3): 358-363.(FAN Li-chu, WANG Jun-jie, CHEN Wei. Response characteristics of long-span cable-stayed bridges under non-uniform seismicaction[J]. Chinese Journal of Computational Mechanics,2001,18(3): 358-363.(in Chinese))
    武芳文, 薛成凤, 赵雷. 超大跨度斜拉桥考虑行波效应的地震动随机响应研究[J]. 地震学报, 2010,32(2): 193-202.(WU Fang-wen, XUE Cheng-feng, ZHAO Lei. Stochastic seismic response of super-long-span cable-stayed bridges under excitation of traveling waves[J]. Acta Seismologica Sinica,2010,32(2): 193-202.(in Chinese))
    胥润东. 琼州海峡超大多主跨公铁两用悬索桥方案设计和抗震研究[D]. 博士学位论文. 成都: 西南交通大学, 2010.(XU Run-dong. Conceptual design and aseismatic analysis of Qiongzhou strait ultra-long multi-span highway-railway suspension bridge[D]. PhD Thesis. Chengdu: Southwest Jiaotong University, 2010.(in Chinese))
    焦常科, 李爱群. 大跨斜拉桥多点激励随机地震响应研究[J]. 振动工程学报, 2013,26(5): 707-714.(JIAO Chang-ke, LI Ai-qun. Research on random seismic response of long-span cable-stayed bridge under multi-excitation[J]. Journal of Vibration Engineering,2013,26(5): 707-714.(in Chinese))
    刘春城, 张哲, 石磊. 虚拟激励法在自锚式悬索桥竖向地震反应中的应用[J]. 东南大学学报(自然科学版), 2003,33(4): 522-525.(LIU Chun-cheng, ZHANG Zhe, SHI Lei. Application of pseudo excitation method to vertical seismic response analysis of self-anchored suspension bridges[J]. Journal of Southeast University (Natural Science Edition),2003,33(4): 522-525.(in Chinese))
    陈彦江, 王巾杰, 李晰. 考虑地震动空间变化的曲线梁桥随机振动分析[J]. 工程抗震与加固改造,2014,36(2): 81-87.(CHEN Yan-jiang, WANG Jin-jie, LI Xi. Random vibration analysis on a curved bridge considering the seismic spatial effect[J]. Earthquake Resistant Engineering and Retrofitting,2014,36(2): 81-87.(in Chinese))
    JIA Hong-yu, ZHANG De-yi, ZHENG Shi-xiong, et al. Local site effect on a high-pier railway bridge inder tridirectional spatial excitations: nonstationary stochastic analysis[J]. Soil Dynamics and Earthquake Engineering,2013,52: 55-69.
    江洋, 石永久, 王元清. 实用多点输入虚拟激励法在通用有限元软件中的实现[J]. 地震工程与工程振动, 2010,30(1): 46-52.(JIANG Yang, SHI Yong-jiu, WANG Yuan-qing. Implementation of the practical pseudo excitation method for multi-support seismic response analysis in general FEM software[J]. Earthquake Engineering and Engineering Vibration,2010,30(1): 46-52.(in Chinese))
    Zhang Y H, Li Q S, Lin J H, et al. Random vibration analysis of long-span structures subjected to spatially varying ground motions[J]. Soil Dynamics and Earthquake Engineering,2009,29(4): 620-629.
    赵灿晖, 周志祥. 大跨度钢管混凝土拱桥在多维多点地震激励作用下的平稳随机响应[J]. 世界地震工程, 2007,23(4): 66-71.(ZHAO Can-hui, ZHOU Zhi-xiang. Stationary stochastic response of long-span CSFT arch bridge under the multi-component and multi-support seismic excitation[J]. World Earthquake Engineering,2007,23(4): 66-71.(in Chinese))
    向天宇, 赵人达. 大跨度拱在空间变化的非平稳随机地震动作用下的随机响应[J]. 中国公路学报,2001,14(1): 39-41.(XIANG Tian-yu, ZHAO Ren-da. Random response of long span arch under spatially variable seismic excitation[J]. China Journal of Highway and Transport,2001,14(1): 39-41.(in Chinese))
    李忠献, 史志利. 行波激励下大跨度连续刚构桥的地震反应分析[J]. 地震工程与工程振动, 2003,23(2): 68-86.(LI Zhong-xian, SHI Zhi-li. Seismic response analysis for long-span continuous rigid-framed bridges under excitation of traveling waves[J]. Earthquake Engineering and Engineering Vibration,2003,23(2): 68-86.(in Chinese))
    陈健云, 林皋. 拱坝-地基体系的多点输入虚拟激励法及随机响应分析[J]. 上海力学, 1999,20(1): 76-81.(CHEN Jian-yun, LIN Gao. Random response analysis of dam-foundation system and pseudo-excitation method[J]. Shanghai Journal of Mechanics,1999,20(1): 76-81.(in Chinese))
    刘天云. 工程结构随机分析[D]. 博士学位论文. 大连: 大连理工大学, 1997.(LIU Tian-yun. Stochastic analysis of engineering structure[D]. PhD Thesis. Dalian: Dalian University of Technology, 1997.(in Chinese))
    王光远, 程耿东, 邵卓民, 等. 抗震结构的最优设防烈度与可靠度[M].  北京: 科学出版社, 1999.(WANG Guan-yuan, CHENG Geng-dong, SHAO Zhuo-min, et al. Optimum Fortification Intensity and Reliability of Aseismic Structure [M]. Beijing: Science Press, 1999.(in Chinese))
    吴健, 金峰, 徐艳杰. 拱坝随机地震行波效应分析[J]. 水利水电科技进展, 2005,25(4): 9-12.(WU Jian, JIN Feng, XU Yan-jie. Analysis of traveling wave effect of random earthquakes on arch dams[J]. Advances in Science and Technology of Water Resources,2005,25(4): 9-12.(in Chinese))
    刘天云, 刘光廷. 拱坝地震动随机响应分析[J]. 工程力学, 2000,17(6): 20-25.(LIU Tian-yun, LIU Guang-ting. Random response analysis of arch dam subject to seismic excitations[J]. Engineering Mechanics,2000,17(6): 20-25.(in Chinese))
    刘汉龙, 陆兆溱, 钱家欢. 土石坝非线性随机反应及动力可靠性分析[J]. 河海大学学报, 1996,24(3): 105-109.(LIU Han-long, LU Zhao-zhen, QIAN Jia-huan. Nonlinear stochastic response of rockfill dam and its dynamic reliability analysis[J]. Journal of Hohai University,1996,24(3): 105-109.(in Chinese))
    曹资, 薛素铎. 空间结构抗震理论与设计[M]. 北京: 科学出版社, 2005.(CAO Zi, XUE Su-duo.Seismic Analysis and Design of Space Structure [M]. Beijing: Science Press, 2005.(in Chinese))
    李宏男. 结构多维抗震理论[M]. 北京: 科学出版社, 2006.(LI Hong-nan. Structural Multi-Dimensional Seismic Theory [M]. Beijing: Science Press, 2006.(in Chinese))
    王奇, 楼文娟, 王亚勇, 等. 体育场挑篷结构多维地震随机响应分析[J]. 四川大学学报(工程科学版), 2010,42(5): 256-262.(WANG Qi, LOU Wen-juan, WANG Ya-yong, et al. Random response analysis of stadium canopy roof under multiple earthquake excitations[J]. Journal of Sichuan University(Engineering Science Edition),2010,42(5): 256-262.(in Chinese))
    孙建梅, 叶继红, 程文瀼. 考虑空间相干的虚拟激励法在大跨度空间结构随机振动分析中的应用[J]. 铁道科学与工程学报, 2007,4(5): 11-21.(SUN Jian-mei, YE Ji-hong, CHENG Wen-rang. Application of the pseudo- excitation method with spatial coherence in random vibration analysis of long span space structures[J]. Journal of Railway Science and Engineering,2007,4(5): 11-21.(in Chinese))
    宋飞达, 王孟鸿. 超长筒壳结构多点输入下的动力响应分析[C]//第十一届全国现代结构工程学术研讨会. 天津, 2011.(SONG Fei-da, WANG Meng-hong. Dynamic response analysis of super-long cylinder shell structure under multiple inputs[C]// The 11th National Symposium on Modern Structural Engineering.Tianjin, 2011.(in Chinese))
    徐汉勇, 余志武, 李玲瑶. 高速铁路客站抗震性能分析的实用虚拟激励法[J]. 铁道学报, 2014,36(9): 92-98.(XU Han-yong, YU Zhi-wu, LI Ling-yao. Practical pseudo excitation method for study of behavior of high-speed railway station under multiple earthquake excitations[J]. Journal of the China Railway Society,2014,36(9): 92-98.(in Chinese))
    何庆祥, 沈祖炎. 结构地震行波效应分析综述[J]. 地震工程与工程振动, 2009,29(1): 50-57.(HE Qing-xiang, SHEN Zu-yan. Review of structural seismic analysis of travelling wave effects[J]. Earthquake Engineering and Engineering Vibration,2009,29(1): 50-57.(in Chinese))
    王春林, 吕志涛, 吴京. 半柔性悬挂结构体系的减振机理及其减振效果分析[J]. 土木工程学报, 2008,41(1): 48-54.(WANG Chun-lin, L Zhi-tao, WU Jing. Analysis of the mechanism and efficiency of vibration-absorption for semi-flexible suspension systems[J].   China Civil Engineering Journal,2008,41(1): 48-54.(in Chinese))
    陈国兴, 谢君斐, 张克绪. 土坝地震性能二维随机分析方法[J]. 地震工程与工程振动, 1994,14(3): 81-85.(CHEN Guo-xing, XIE Jun-fei, ZHANG Ke-xu. A method of 2-D random response analysis of earth dam earthquake performance[J]. Earthquake Engineering and Engineering Vibration,1994,14(3): 81-85.(in Chinese))
    Cheung M S, SHEN Zhen-yuan, Chan B Y B. An integrated finite element solution for box girder bridges and slab on girder bridges[J]. Computer Modeling in Engineering & Sciences,2009,45(2):155-177.
    Li Q S, Zhang Y H, Wu J R, et al. Seismic random vibration analysis of tall buildings[J]. Engineering Structures,2004,26(12): 1767-1778.
    祝长生, 陈拥军, 朱位秋. 不平衡线性转子轴承系统的非平稳地震激励响应分析[J]. 计算力学学报, 2006,23(3): 285-289.(ZHU Chang-sheng, CHEN Yong-jun, ZHU Wei-qiu. Response analysis on linear imbalanced rotor-bearing system under nonstationary random seismic excitation[J]. Chinese Journal of Computational Mechanics,2006,23(3): 285-289.(in Chinese))
    马辉, 薛建阳, 赵鸿铁. 随机地震激励下高台基木结构古建筑的响应分析[J]. 工业建筑, 2014,44(2): 45-54.(MA Hui, XUE Jian-yang, ZHAO Hong-tie. Analysis of response of ancient timber buildings on the high pedestal under random earthquake excitations[J]. Industrial Construction,2014,44(2): 45-54.(in Chinese))
    白长青, 许庆余, 许清源. 直接迁移子结构法及在叠积电抗器抗震分析中的应用[J]. 西安交通大学学报, 2004,38(7): 733-736.(BAI Chang-qing, XU Qing-yu, XU Qing-yuan. Application of the direct transfer substructure method to earthquake-resistant analysis of a series reactor[J]. Journal of Xi’an Jiaotong University,2004,38(7): 733-736.(in Chinese))
    Caprani C C. Application of the pseudo-excitation method to assessment of walking variability on footbridge vibration[J]. Computers & Structures,2014,132: 43-54.
    ZHOU Bo, GUO Wei, HAN Xiao-shuang, et al. Random seismic response analysis of jacket structure with Timoshenko’s beam theory[J]. Ships and Offshore Structures,2016,11(4): 438-444.
    Lin Y K, Yang J N. Multimode bridge response to wind excitation[J]. Journal of Engineering Mechanics,1983,109(2): 586-603.
    Jain A, Jones N P, Scanlan R H. Coupled flutter and buffeting analysis of long-span bridges[J]. Journal of Structural Engineering,1996,122(7): 716-725.
    Kiviluoma R. Couple-mode buffeting and flutter analysis of bridges[J]. Computers & Structures,1998,70(2): 219-228.
    孙东科. 长跨桥梁三维风振分析[D]. 博士学位论文. 大连: 大连理工大学, 1999.(SUN Dong-ke. Three-dimensional wind-induced vibration analysis of long span bridge[D]. PhD Thesis. Dalian: Dalian University of Technology, 1999.(in Chinese))
    Xu Y L, Sun D K, Ko J M, et al. Buffeting analysis of long span bridges: a new algorithm[J]. Computers & Structures,1998,68(4): 303-313.
    Sun D K, Xu Y L, Ko J M, et al. Fully coupled buffeting analysis of long-span cable-supported bridges: formulation[J]. Journal of Sound and Vibration,1999,228(3): 569-588.
    Xu Y L, Zhang W S, Ko J M, et al. Pseudo-excitation method for vibration analysis of wind-excited structures[J]. Journal of Wind Engineering and Industrial Aerodynamics,1999,83(1/3): 443-454.
    Zhang W S, Xu Y L. Closed form solution for alongwind response of actively controlled tall buildings with LQG controllers[J]. Journal of Wind Engineering and Industrial Aerodynamics,2001,89(9): 785-807.
    Zhu L D, Xu Y L, Xiang H F. Buffeting analysis of a long suspension bridge under inclined wind[C]// Proc Int C Advances Struct Dyn.2000: 1535-1542.
    刘高, 朱乐东, 项海帆. 大跨桥梁抖振内力分析与应用[C]//中国公路学会全国桥梁学术会议论文集, 2004.(LIU Gao, ZHU Le-dong, XIANG Hai-fan. Analysis and application of buffeting internal force of long-span bridge[C]//Proceedings of China National Highway Bridge Society Conference,2004.(in Chinese))
    项海帆, 葛耀君, 朱乐东, 等. 现代桥梁抗风理论与实践[M]. 人民交通出版社, 2005.(XIANG Hai-fan, GE Yao-jun, ZHU Le-dong, et al.Modern Theory and Practice on Bridge Wind Resistance [M]. China Communications Press, 2005.(in Chinese))
    LIU Gao, ZHU Le-dong, XIANG Hai-fan. Structural internal force prediction of a suspension bridge due to buffeting[J]. Journal of Wind Engineering,2006,31(3): 769-772.
    刘高, 刘波, 宋辉. 西堠门大桥索塔风致结构内力响应研究[J]. 公路交通科技, 2009,26(6): 64-68.(LIU Gao, LIU Bo, SONG Hui. Study on wind-induced structural internal force response of Xihoumen bridge pylon[J]. Journal of Highway and Transportation Research and Development,2009,26(6): 64-68.(in Chinese))
    黄国庆, 苏延文, 彭留留, 等. 山区风作用下大跨悬索桥响应分析[J]. 西南交通大学学报, 2015,50(4): 610-616.(HUANG Guo-qing, SU Yan-wen, PENG Liu-liu, et al. Response analysis of long-span suspension bridge under mountainous winds[J]. Journal of Southwest Jiaotong University,2015,50(4): 610-616.(in Chinese))
    肖正直. 特高压输电塔风振响应及等效风荷载研究[D]. 博士学位论文. 重庆: 重庆大学, 2009.(XIAO Zheng-zhi. Wind-induced response analysis and equivalent wind loads of UHV transmission tower[D]. PhD Thesis. Chongqing: Chongqing University, 2009.(in Chinese))
    晏致涛. 大跨度中承式拱桥风致振动研究[D]. 博士学位论文. 重庆: 重庆大学, 2006.(YAN Zhi-tao. Study on wind induced vibration of long span half-through arch bridges[D]. PhD Thesis. Chongqing: Chongqing University, 2006.(in Chinese))
    黄明开, 倪振华. 虚拟激励法与圆拱屋盖结构的风致响应分析[J]. 广东土木与建筑, 2003(12): 6-8.(HUANG Ming-kai, NI Zhen-hua. Pseudo-excitation method and arch roof wind-induced response analysis of structure[J]. Guangdong Architecture Civil Engineering,2003(12): 6-8.(in Chinese))
    陈贤川. 大跨度屋盖结构风致响应和等效风荷载的理论研究及应用[D]. 博士学位论文. 杭州: 浙江大学, 2005.(CHEN Xian-chuan. Wind-induced response and equivalent static wind load of long-span roofs: theoretical research and appllication[D]. PhD Thesis. Hangzhou: Zhejiang University, 2005.(in Chinese))
    卜国雄, 谭平, 张颖, 等. 大型超高层建筑的随机风振响应分析[J]. 哈尔滨工业大学学报, 2010,42(2): 175-179.(BU Guo-xiong, TAN Ping, ZHANG Ying, et al. Random wind-induced response analysis of a large-scale and high-rise building[J]. Journal of Harbin Institute of Technology,2010,42(2): 175-179.(in Chinese))
    朱佳宁, 徐亚洲, 李旭. 超大型冷却塔随机风振响应分析[J]. 西安建筑科技大学学报(自然科学版), 2013,45(6): 808-812.(ZHU Jia-ning, XU Ya-zhou, LI Xu. Stochastic wind-induced dynamic response analysis of large hyperbolic cooling tower[J]. Journal of Xi’an University of Architecture & Technology(Natural Science Edition),2013,45(6): 808-812.(in Chinese))
    郭勇. 大跨越输电塔线体系的风振响应及振动控制研究[D]. 博士学位论文. 杭州: 浙江大学, 2006.(GUO Yong. Studies on wind-induced dynamic response and vibration control of long span transmission line system[D]. PhD Thesis. Hangzhou: Zhejiang University, 2006.(in Chinese))
    赵中伟, 陈志华, 王小盾, 等. 基于虚拟激励法的贝壳型单层网壳风振响应研究[J]. 空间结构, 2015,21(2): 34-39.(ZHAO Zhong-wei, CHEN Zhi-hua, WANG Xiao-dun, et al. Study of wind-induced response on shell-shaped single-layer lattice shell based on pseudo excitation method[J]. Spatial Structures,2015,21(2): 34-39.(in Chinese))
    de Rosa S, Franco F, Ciappib E. A simplified method for the analysis of the stochastic response in discrete coordinates[J]. Journal of Sound and Vibration,2015,339(17): 359-375.
    ZHAO You-qun, ZHANG Gui-yu, GUO Kong-hui. Handling safety simulation of driver-vehicle closed-loop system with evolutionary random road input[J]. Vehicle System Dynamics,2000,33(3): 169-181.
    赵又群, 何小明, 郭孔辉. 汽车由路面激发的演变随机响应预测[J]. 机械工程学报, 2004,40(1): 179-182.(ZHAO You-qun, HE Xiao-ming, GUO Kong-hui. Prediction of vehicle evolutionary random response induced by road[J]. Journal of Mechanical Engineering,2004,40(1): 179-182.(in Chinese))
    李强, 周济. 基于BP神经网络的非平稳激励机械系统响应预估[J]. 振动工程学报, 1998,11(2): 194-199.(LI Qiang, ZHOU Ji. BP networks response evaluation method for nonstationary stochastic excited mechanical system[J]. Journal of Vibration Engineering,1998,11(2): 194-199.(in Chinese))
    彭献, 刘晓辉, 文桂林. 基于虚拟激励法的变速行驶车辆振动分析[J]. 湖南大学学报(自然科学版), 2007,34(11): 37-41.(PENG Xian, LIU Xiao-hui, WEN Gui-lin. Vibration analysis of vehicle at uneven speed with pseudo-excitation method[J]. Journal of Hunan University(Natural Sciences),2007,34(11): 37-41.(in Chinese))
    张亮亮, 唐驾时, 李立斌. 虚拟激励算法下的汽车悬架振动分析[J]. 振动与冲击, 2006,25(6): 167-169.(ZHANG Liang-liang, TANG Jia-shi, LI Li-bin. Vibration analysis of suspension system of a vehicle model with pseudo-excitation method[J]. Journal of Vibration and Shock,2006,25(6): 167-169.(in Chinese))
    李杰, 秦玉英, 赵旗. 多点虚拟激励法在整车随机振动分析中的应用[J]. 汽车工程, 2010,32(3): 254-257, 269.(LI Jie, QIN Yu-ying, ZHAO Qi. The application of multi-point pseudo excitation method to vehicle random vibration analysis[J]. Automotive Engineering,2010,32(3): 254-257, 269.(in Chinese))
    李杰, 王文竹, 赵旗, 等. 基于虚拟激励法的军用汽车随机振动分析[J]. 汽车工程, 2016,38(3): 368-372.(LI Jie, WANG Wen-zhu, ZHAO Qi, et al. Random vibration analysis of military vehicle based on pseudo-excitation method[J]. Automotive Engineering,2016,38(3): 368-372.(in Chinese))
    张永林, 侯传亮. 运输车辆随机振动分析的虚拟激励法[J]. 起重运输机械, 2005,25(3): 30-31.(ZHANG Yong-lin, HOU Chuan-liang. The pseudo-excitation method of transport vehicle random vibration analysis[J]. Hoisting and Conveying Machinery,2005,25(3): 30-31.(in Chinese))
    李锦灿. 路面不平度作用下汽车动载分析[J]. 机械, 2007,34(2): 23-26.(LI Jin-can. Vehicle dynamic load analysis under pavement roughness[J]. Machinery,2007,34(2): 23-26.(in Chinese))
    Xu W T, Lin J H, Zhang Y H, et al. Pseudo-excitation-method-based sensitivity analysis and optimization for vehicle ride comfort[J]. Engineering Optimization,2009,41(7): 699-711.
    林敏. 基于虚拟激励法的汽车平顺性仿真研究[D]. 博士学位论文. 广州: 广东工业大学, 2011.(LIN Min. Study on simulation of vehicle ride comfort based on pseudo excitation method[D]. PhD Thesis. Guangzhou: Guangdong University of Technology, 2011.(in Chinese))
    王先云. 用于车辆平顺性仿真的随机路面构造[J]. 科学技术与工程, 2011,11(35): 8796-8799.(WANG Xian-yun. The construction method of random road for simulating vehicle’s ride quality[J]. Science Technology and Engineering,2011,11(35): 8796-8799.
    赵岩, 张亚辉, 林家浩. 车辆随机振动功率谱分析的虚拟激励法概述[J]. 应用数学和力学, 2013,34(2): 107-117.(ZHAO Yan, ZHANG Ya-hui, LIN Jia-hao. Summary on the pseudo excitation method for vehicle random vibration PSD analysis[J]. Applied Mathematics and Mechanics,2013,34(2): 107-117.(in Chinese))
    赵岩, 项盼, 张有为, 等. 不确定车轨耦合系统辛随机振动分析[J]. 力学学报, 2012,44(4): 769-778.(ZHAO Yan, XIANG Pan, ZHANG You-wei, et al. Symplectic random vibration analysis for coupled vehicle-track systems with parameter uncertainties[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(4): 769-778.(in Chinese))
    L Feng, GAO Qiang, Lin J H, et al. Non-stationary random ground vibration due to loads moving along a railway track[J]. Journal of Sound and Vibration,2006,298(1/2): 30-42.
    ZHANG Zhi-chao, ZHANG Ya-hui, LIN Jia-hao, et al. Random vibration of a train traversing a bridge subjected to traveling seismic waves[J]. Engineering Structures,2011,33(12): 3546-3558.
    吕峰, 林家浩, 张亚辉. 车辆-轨道系统垂向随机振动的辛方法分析[J]. 力学学报, 2008,40(3): 381-387.(L Feng, LIN Jia-hao, ZHANG Ya-hui. Random vobrantion analysis of vehicle-track coupling systems using symplectic method[J]. Chinese Journal of Theoretical and Applied Mechanics,2008,40(3): 381-387.(in Chinese))
    ZHANG You-wei, ZHAO Yan, ZHANG Ya-hui. Riding comfort optimization of railway trains based on pseudo-excitation method and symplectic method[J]. Journal of Sound and Vibration,2013,332(21): 5255-5270.
    项盼, 赵岩, 林家浩. 复合随机振动分析的混合PC-PEM方法[J]. 振动与冲击, 2015,34(4): 35-39.(XIANG Pan, ZHAO Yan, LIN Jia-hao. Hybrid PC-PEM for complex random vibration analysis[J]. Journal of Vibration and Shock,2015,34(4): 35-39.(in Chinese))
    Lin J H, Fan Y, Bennett P N, et al. Propagation of stationary random waves along substructural chains[J]. Journal of Sound and Vibration,1995,180(5): 757-767.
    Lin J H, Fan Y, Williams F W. Propagation of non-stationary random waves along substructural chains[J]. Journal of Sound and Vibration,1995,187(4): 585-593.
    Lu F, Lin J H, Kennedy D, et al. An algorithm to study non-stationary random vibrations of vehicle-bridge systems[J]. Computers & Structures,2009,87(3/4): 177-185.
    张志超, 张亚辉, 赵岩, 等. 车桥系统非平稳随机振动的PEM-PIM算法[J]. 计算力学学报, 2009,26(1): 26-32.(ZHANG Zhi-chao, ZHANG Ya-hui, ZHAO Yan, et al. Combined PEM-PIM scheme for the non-stationary random vibration analysis of vehicle-bridge systems[J]. Chinese Journal of Computational Mechanics,2009,26(1): 26-32.(in Chinese))
    Zhang Z C, Lin J H, Zhang Y H, et al. Non-stationary random vibration analysis of three-dimensional train-bridge systems[J]. Vehicle System Dynamics,2010,48(4): 457-480.
    ZHANG You-wei, LIN Jia-hao, ZHAO Yan, et al. Symplectic random vibration analysis of a vehicle moving on an infinitely long periodic track[J]. Journal of Sound and Vibration,2010,329(21): 4440-4454.
    Sun W, Xu W T, Lin J H, et al. Ride-comfort-oriented suspension optimization using the pseudo-excitation method[J]. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering,2010,224(11): 1357-1367.
    宋刚, 吴志刚, 林家浩. 车辆主动悬架设计的约束 H控制方法[J]. 计算力学学报, 2010,27(2): 196-201.(SONG Gang, WU Zhi-gang, LIN Jia-hao. Constrained H control method for active suspensions of vehicles[J]. Chinese Journal of Computational Mechanics,2010,27(2): 196-201.(in Chinese))
    张志超, 张亚辉, 林家浩. 基于虚拟激励法的车桥系统车速影响分析[J]. 铁道学报, 2011,33(4): 93-99.(ZHANG Zhi-chao, ZHANG Ya-hui, LIN Jia-hao. Influence of train speeds on random vibration of train-bridge systems[J]. Journal of the China Railway Society,2011,33(4): 93-99.(in Chinese))
    ZHANG You-wei, ZHAO Yan, LIN Jia-hao, et al. A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations[J]. Latin American Journal of Solids and Structures,2012,9(5): 569-579.
    赵岩, 项盼, 张有为, 等. 具有不确定参数车轨耦合系统随机振动灵敏度分析[J]. 工程力学, 2013,30(4): 360-366.(ZHAO Yan, XIANG Pan, ZHANG You-wei, et al. Random vibration sensitivity analysis for coupled vehicle-track systems with parameter uncertainties[J]. Engineering Mechanics,2013,30(4): 360-366.(in Chinese))
    张有为, 项盼, 赵岩, 等. 车轨系统随机响应周期性拟稳态分析[J]. 力学学报, 2012,44(6): 1046-1056.(ZHANG You-wei, XIANG Pan, ZHAO Yan, et al. A pseudo-steady state method for analyzing random responses coupled vehicle-track systems[J]. Chinese Journal of Theoretical and Applied Mechanics,2012,44(6): 1046-1056.(in Chinese))
    ZHANG Jian, ZHAO Yan, ZHANG Ya-hui, et al. Non-stationary random vibration of a coupled vehicle-slab track system using a parallel algorithm based on the pseudo excitation method[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit,2013,227(3): 203-216.
    XIANG Pan, ZHAO Yan, LIN Jia-hao, et al. Random vibration analysis for coupled vehicle-track systems with uncertain parameters[J]. Engineering Computations,2016,33(2): 443-464.
    Si L T, Zhao Y, Zhang Y H, et al. Random vibration of an elastic half-space subjected to a moving stochastic load[J]. Computers & Structures,2016,168: 92-105.
    赵家舵. 基于虚拟激励法和辛数学方法的高速列车平稳性优化[J]. 铁道车辆, 2014,52(2): 1-6.(ZHAO Jia-duo. Optimization of the ride comfort of high speed trains based on pseudo excitation method and the symplectic mathematical method[J]. Rolling Stock,2014,52(2): 1-6.(in Chinese))
    田爱琴, 孙维光. 基于SiPESC-HiPEM的高速列车车体随机振动响应分析[J]. 铁道机车车辆, 2015,35(S1): 83-87.(TIAN Ai-qin, SUN Wei-guang. Random vibration response analysis of high speed EMU carbody based on SiPESC-HiPEM[J]. Railway Locomotive & Car,2015,35(S1): 83-87.(in Chinese))
    杨新文. 高速铁路轮轨噪声理论计算与控制研究[D]. 博士学位论文. 成都: 西南交通大学, 2006.(YANG Xin-wen. Theorical analysis and control studies in wheel/rail noises of high speed railway[D]. PhD Thesis. Chengdu: Southwest Jiaotong University, 2006.(in Chinese))
    朱艳, 李小珍. 车桥时变耦合系统的随机响应分析[J]. 武汉理工大学学报, 2010,32(9): 352-355.(ZHU Yan, LI Xiao-zhen. Stochastic dynamic responses analysis of train-bridge time-varying system[J]. Journal of Wuhan University of Technology,2010,32(9): 352-355.(in Chinese))
    冯青松, 雷晓燕, 练松良. 轨道随机不平顺影响下高速铁路地基动力分析模型[J]. 振动工程学报, 2013,26(6): 927-934.(FENG Qing-song, LEI Xiao-yan, LIAN Song-liang. A dynamic model of ground for high-speed railway with track random irregularities[J]. Journal of Vibration Engineering,2013,26(6): 927-934.(in Chinese))
    李双, 余衍然, 陈玲, 等. 随机悬挂参数下轨道车辆平稳性的全局灵敏度分析[J]. 铁道学报, 2015,37(8): 29-35.(LI Shuang, YU Yan-ran, CHEN Ling, et al. Global sensitivity analysis on the ride quality of railway vehicle with stochastic suspension parameters[J]. Journal of the China Railway Society,2015,37(8): 29-35.(in Chinese))
    曾德亮. 基于虚拟激励法的车桥系统随机振动分析[J]. 铁道勘测与设计, 2014(2): 61-66.(ZENG De-liang. The analysis of the random vibration of train-bridge system based on the pseudo-excitation method[J]. Railway Survey and Design,2014(2): 61-66.(in Chinese))
    孟建军, 杨泽青, 蒲光华, 等. 基于虚拟激励法的轨道车辆垂向振动响应分析[J]. 中国铁道科学, 2012,33(2): 89-94.(MENG Jian-jun, YANG Ze-qing, PU Guang-hua, et al. Vertical vibration response analysis of railway vehicle based on pseudo excitation method[J]. China Railway Science,2012,33(2): 89-94.(in Chinese))
    徐瑞, 苏成. 结构非平稳随机响应分析的快速虚拟激励法[J]. 计算力学学报, 2010,27(5): 833-837.(XU Rui, SU Cheng. Fast pseudo-excitation method in structural non-stationary stochastic response analysis[J]. Chinese Journal of Computational Mechanics,2010,27(5): 833-837.(in Chinese))
    周劲松, 李大光, 沈钢, 等. 磁浮车辆运行平稳性的虚拟激励分析方法[J]. 交通运输工程学报, 2008,8(1): 5-9.(ZHOU Jin-song, LI Da-guang, SHEN Gang, et al. Pseudo-excitation analysis method of riding quality for maglev vehicle[J]. Journal of Traffic and Transportation Engineering,2008,8(1): 5-9.(in Chinese))
    刘文晓, 卢玉传, 刘灿昌. 基于虚拟激励法的三轮机动车振动分析[J]. 农业装备与车辆工程, 2015,53(1): 19-23.(LIU Wen-xiao, LU Yu-chuan, LIU Can-chang. Vibrational analysis of three-wheel vehicle based on pseudo excitation method[J]. Agricultural Equipment & Vehicle Engineering,2015,53(1): 19-23.(in Chinese))
    明波, 杨洁, 贾进峰. 基于三维路面谱仿真履带车辆振动系统的动态模拟[J]. 装备环境工程, 2011,8(2): 85-89.(MING Bo, YANG Jie, JIA Jin-feng. Dynamic simulation of tracked vehicle vibration system based on three-dimensional road surface spectrum model[J]. Equipment Environmental Engineering,2011,8(2): 85-89.(in Chinese))
    廉清泉, 徐晶才. 汽车震动仿真分析[J]. 汽车实用技术, 2015(3): 89-92, 110.(LIAN Qing-quan, XU Jing-cai. Simulatiom analysis of car vibration[J]. Automobile Applied Technology,2015(3): 89-92, 110.(in Chinese))
    Connor J. Wave, current and wind loads[R]. Cambridge, Massachusetts: Department of Civil Engineering, Massachusetts Institute of Technology, 1979.
    林家浩, 林少培, 钟万勰. 固定式海洋平台结构分析程序DASOS-J(D)的动力分析策略[J]. 计算结构力学及其应用, 1985,2(3): 37-44.(LIN Jia-hao, LIN Shao-pei, ZHONG Wan-xie. Strategies for developing dynamic analysis program DASOS-J(D) of design and analysis system of offshore structures[J]. Computational Structural Mechanics and Applications,1985,2(3): 37-44.(in Chinese))
    Lin J H, Lu X, Zhong W X. Dynamic response of jacket platform to random waves[C]//Schrefler B A, Zienkiewicz O C, ed. Process Computer Modelling in Ocean Engineering.Venice, 1988: 539-545.
    何勇. 随机荷载作用下海洋柔性结构非线性振动响应分析方法[D]. 博士学位论文. 杭州: 浙江大学, 2007.(HE Yong. Study on the non-linear response of flexible offshore structures under stochastic loading[D]. PhD Thesis. Hangzhou: Zhejiang University, 2007.(in Chinese))
    董满生, 赵佳佳, 牛忠荣, 等. 随机地震激励作用下水中悬浮隧道锚索的动力响应[J]. 合肥工业大学学报 (自然科学版), 2013,36(1): 74-78.(DONG Man-sheng, ZHAO Jia-jia, NIU Zhong-rong, et al. Dynamic response of submerged floating tunnel’s anchor cable to random seismic excitation[J]. Journal of Hefei University of Technology (Natural Science),2013,36(1): 74-78.(in Chinese))
    Azarhoushang A, Nikraz H. Nonlinear water-structure interaction of fixed offshore platform in extreme storm[C]// Proceedings of the Twentieth International Offshore and Polar Engineering Conference.Beijing, 2010.
    LI Hai-tao, WANG Qi-bin, ZONG Zhi, et al. Stochastic hydroelastic analysis of a very large floating structure using pseudo-excitation method[J]. Applied Ocean Research,2014,48: 202-213.
    刘勇, 陈炉云, 易宏. 基于随机结构的延寿服役海洋平台管节点疲劳寿命可靠度预测方法[J]. 上海交通大学学报, 2013,47(6): 950-955.(LIU Yong, CHEN Lu-yun, YI Hong. Fatigue reliability prediction method for life extension offshore platform tubular joint based on stochastic structures[J]. Journal of Shanghai Jiaotong University, 2013,47(6): 950-955.(in Chinese))
    薛志钢, 蔡志勤, 曹先凡, 等. 基于频域的S-lay托管架疲劳分析[J]. 船海工程, 2015,44(6): 153-157.(XUE Zhi-gang, CAI Zhi-qin, CAO Xian-fan, et al. Fatigue analysis of the S-lay stinger based on the frequency domain theory[J]. Ship & Ocean Engineering, 2015,44(6): 153-157.(in Chinese))
    Yu L, Das P K. Fatigue design assessment based on pseudo-excitation method[C]//Soares C G, Kolev P, ed. Maritime Industry, Ocean Engineering and Coastal Resources: Proceedings of the 〖STBX〗12th International Congress of the International Maritime Association of the Mediterranean (IMAM 2007).Varna, Bulgaria, 2008: 315-322.
    LIU Xiang, LI Gang, Oberlies R, et al. Research on short-term dynamic ice cases for dynamic analysis of ice-resistant jacket platform in the Bohai Gulf[J]. Marine Structures,2009,22(3): 457-479.
    戴新进, 林家浩, 陈浩然. 附面阻尼随频率变化的复合材料层合结构随机振动分析[J]. 复合材料学报, 2006,23(1): 173-179.(DAI Xin-jin, LIN Jia-hao, CHEN Hao-ran. Random vibration analysis of the composite laminated structures attached with frequency-dependant damping layer[J]. Acta Materiae Compositae Sinica,2006,23(1): 173-179.(in Chinese))
    戴新进, 林家浩, 陈浩然. 附面阻尼随频率变化的复合材料层合结构非平稳随机振动分析[J]. 航空学报, 2007,28(1): 100-105.(DAI Xin-jin, LIN Jia-hao, CHEN Hao-ran. Non-stationary random vibration analysis of composite laminated structure attached with frequency-dependant damping layer[J]. Acta Aeronautica et Astronautica Sinica,2007,28(1): 100-105.(in Chinese))
    DAI Xin-jin, LIN Jia-hao, CHEN Hao-ran, et al. Random vibration of composite structures with an attached frequency-dependent damping layer[J]. Composites Part B: Engineering,2008,39(2): 405-413.
    田永卫, 魏川, 张书明, 等. 飞机增稳结构振动研究及其裂纹成因分析[J]. 振动、测试与诊断, 2012,32(4): 547-552.(TIAN Yong-wei, WEI Chuan, ZHANG Shu-ming, et al. Study on a stability augmentation structure of a transport aircraft and analysis of crack formation[J]. Journal of Vibration Measurement & Diagnosis, 2012,32(4): 547-552.(in Chinese))
    王磊, 王飞, 王海东, 等. 细长型飞行器双台随机振动试验虚拟试验技术研究[J]. 上海航天, 2014,31(1): 56-62.(WANG Lei, WANG Fei, WANG Hai-dong, et al. Research on virtual vibration test of dual-exciter random vibration test for slender aerocraft[J]. Aerospace Shanghai,2014,31(1): 56-62.(in Chinese))
    刘晓波, 顾智平, 王志华. 航空发动机双转子系统的随机激励响应分析[J]. 推进技术, 2012,33(1): 43-46.(LIU Xiao-bo, GU Zhi-ping, WANG Zhi-hua. Response analysis on aero-engine dual-rotor system under random excitation[J]. Journal of Propulsion Technology,2012,33(1): 43-46.(in Chinese))
    白瑜光, 孙东科, 林家浩. 利用CFD计算技术进行机翼模型气动特性分析[J]. 航空计算技术, 2010,40(1): 21-24, 28.(BAI Yu-guang, SUN Dong-ke, LIN Jia-hao. Aerodynamic analysis of Naca0012 airfoil model using CFD[J]. Aeronautical Computing Technique,2010,40(1): 21-24, 28.(in Chinese))
    BAI Yu-guang, SUN Dong-ke, LIN Jia-hao, et al. Numerical aerodynamic simulations of a NACA airfoil using CFD with block-iterative coupling and turbulence modelling[J]. International Journal of Computational Fluid Dynamics,2012,26(2): 119-132.
    王传奇. 随机激励下无人机起落架结构的动力响应分析[J]. 计算机仿真, 2014,31(2): 69-72, 460.(WANG Chuan-qi. Dynamic response analysis of UAV’s landing gear structure subjected to random excitation[J]. Computer Simulation,2014,31(2): 69-72, 460.(in Chinese))
    祝俊, 陈换过, 陈文华, 等. 飞行器结构在自然环境激励下损伤检测的研究[J]. 机械强度, 2014,36(5): 779-783.(ZHU Jun, CHEN Huan-guo, CHEN Wen-hua, et al. Damage detection in the flight structure subjected to the nature excitation[J]. Journal of Mechanical Strength,2014,36(5): 779-783.(in Chinese))
    聂旭涛. 导引头伺服机构若干强度与动力学问题研究[D]. 博士学位论文. 长沙: 国防科学技术大学, 2008.(NIE Xu-tao. Study on strength and dynamics of seeker servo mechanism[D]. PhD Thesis. Changsha: National University of Defense Technology, 2008.(in Chinese))
    宋向华, 安伟光, 王杰方. 非平稳随机激励下太阳能帆板随机振动分析[J]. 计算机仿真, 2015,32(1): 88-93.(SONG Xiang-hua, AN Wei-guang, WANG Jie-fang. Random vibration analysis of solar panels under non-stationary random excitations[J]. Computer Simulation,2015,32(1): 88-93.(in Chinese))
    张军伟, 陈伟, 周忆, 等. 神光Ⅲ-原型装置振动激励源稳定性指标权重分配研究[J]. 四川大学学报(工程科学版), 2011,43(2): 228-233, 240.(ZHANG Jun-wei, CHEN Wei, ZHOU Yi, et al. Research on vibration excitation source stability index allocation of SG-Ⅲ TIL[J]. Journal of Sichuan University(Engineering Science Edition),2011,43(2): 228-233, 240.(in Chinese))
    刘明, 安伟光, 宋向华. 随机激励下随机参数超空泡结构的动力可靠度[J]. 哈尔滨工程大学学报, 2012,33(9): 1116-1121.(LIU Ming, AN Wei-guang, SONG Xiang-hua. Dynamic reliability of a supercavitating vehicle with stochastic parameters under random excitation[J]. Journal of Harbin Engineering University,2012,33(9): 1116-1121.(in Chinese))
    Xu Y, Zhang W. Closed-form solution for seismic response of adjacent buildings with linear quadratic Gaussian controllers[J]. Earthquake Engineering & Structural Dynamics,2002,31(2): 235-259.
    于骁, 张文首, 林家浩, 等. 毗邻建筑非平稳随机地震响应LQG控制问题的闭合解[J]. 动力学与控制学报, 2005,3(3): 86-91.(YU Xiao, ZHANG Wen-shou, LIN Jia-hao, et al. Closed from solution of LQG control problem for non-stationary stochastic seismic response of adjacent buildings[J]. Journal of Dynamics and Control,2005,3(3): 86-91.(in Chinese))
    宋刚, 吴志刚, 林家浩. 毗邻建筑LQG抗震控制的组合精细积分策略[J]. 工程力学, 2006,53(9): 55-60.(SONG Gang, WU Zhi-gang, LIN Jia-hao. Combined precise integration strategy for aseismic LQG control of adjacent buildings[J]. Engineering Mechanics,2006,53(9): 55-60.(in Chinese))
    SONG Gang, LIN Jia-hao, Williams F W, et al. Precise integration strategy for aseismic LQG control of structures[J]. International Journal for Numerical Methods in Engineering,2006,68(12): 1281-1300.
    Bigdeli K, Hare W, Tesfamariam S. Optimal design of viscous damper connectors for adjacent structures using genetic algorithm and Nelder-Mead algorithm[C]//Proceeding of SPIE, Active and Passive Smart Structures and Integrated Systems.2012.
    杜永峰. 被动与智能隔震结构地震响应分析及控制算法[D]. 博士学位论文. 大连: 大连理工大学, 2003.(DU Yong-feng. Analysis of seismic response of passive and smart isolated structures and investigation to control algorithms[D]. PhD Thesis. Dalian: Dalian University of Technology, 2003.(in Chinese))
    沈金. 联体多结构振动控制体系的研究[D]. 博士学位论文. 杭州: 浙江大学, 2000.(SHEN Jin. Study on the connected multi-structure vibration control system[D]. PhD Thesis. Hangzhou: Zhejiang University, 2000.(in Chinese))
    SONG Gang, LIN Jia-hao, ZHAO Yan, et al. Robust H control for aseismic structures with model uncertainties in mode parameters[J]. Earthquake Engineering and Engineering Vibration,2007,6(4): 409-416.
    李春祥. 顺风激励下高层建筑多重调谐质量阻尼器振动控制的参数研究[J]. 华中科技大学学报(城市科学版), 2003,20(2): 6-15.(LI Chun-xiang. Parametric analysis of multiple tuned mass dampers for attenuating undesirable along-wind responses of tall buildings[J]. Journal of Huazhong University of Science and Technology(Urban Science Edition),2003,20(2): 6-15.(in Chinese))
    朱以文, 吴春秋. TMD多点控制体系随机地震响应分析的虚拟激励法[J]. 地震工程与工程振动, 2003,23(6): 174-178.(ZHU Yi-wen, WU Chun-qiu. Pseudo-excitation method for random earthquake response analysis of control system with MTMD[J]. Earthquake Engineering and Engineering Vibration,2003,23(6): 174-178.(in Chinese))
    张力, 张文首, 岳前进. 基于模态空间的海洋平台冰致振动的H控制[J]. 动力学与控制学报, 2008,6(3): 284-288.(ZHANG Li, ZHANG Wen-shou, YUE Qian-jin. Ice-induced vibration control of offshore platform with H controllers based on modal space[J]. Journal of Dynamics and Control,2008,6(3): 284-288.(in Chinese))
    谭平, 卜国雄, 周福霖. 带限位TMD的抗风动力可靠性研究[J]. 振动与冲击, 2009,28(6): 42-44.(TAN Ping, BU Guo-xiong, ZHOU Fu-lin. Study of wind-resistant dynamic reliability of TMD with limited spacing[J]. Journal of Vibration and Shock,2009,28(6): 42-44.(in Chinese))
    王伟东, 孙立宁, 杜志江. 基于虚拟激励法的移动手臂振动分析[J]. 吉林大学学报(工学版), 2010,40(4): 1081-1085.(WANG Wei-dong, SUN Li-ning, DU Zhi-jiang. Vibration analysis of mobile manipulator with pseudo-excitation method[J]. Journal of Jilin University(Engineering and Technology Edition),2010,40(4): 1081-1085.(in Chinese))
    何斌, 施卫星, 刘成清. 含TLCD超高层建筑风振舒适度及其生命周期费用分析[J]. 防灾减灾工程学报, 2015,35(6): 718-725.(HE Bin, SHI Wei-xing, LIU Cheng-qing. Wind-induced human comfort and life cycle cost analysis of super tall buildings with tuned liquid column damper[J]. Journal of Disaster Prevention and Mitigation Engineering,2015,35(6): 718-725.(in Chinese))
    智浩, 岳前进, 林家浩. 海洋平台随机冰力谱的识别[J]. 海洋工程, 2000,18(2): 13-17.(ZHI Hao, YUE Qian-jin, LIN Jia-hao. Rondom ice-force spectrum identification of marine platforms[J]. Ocean Engineering,2000,18(2): 13-17.(in Chinese))
    廖俊, 孔宪仁. 随机载荷识别的算法改进与实验验证[J]. 航天器环境工程, 2008,25(4): 355-359.(LIAO Jun, KONG Xian-ren. An improved algorithm for random loading identification and experimental validation[J]. Spacecraft Environment Engineering,2008,25(4): 355-359.(in Chinese))
    姜金辉, 陈国平, 张方. 多点平稳随机荷载识别方法研究[J]. 振动工程学报, 2009,22(2): 162-167.(JIANG Jin-hui, CHEN Guo-ping, ZHANG Fang. Identification method of multi-point stationary random load[J]. Journal of Vibration Engineering,2009,22(2): 162-167.(in Chinese))
    张丽萍, 郭立新. 基于逆虚拟激励法的车辆动载的识别[J]. 东北大学学报(自然科学版), 2011,32(3): 415-418.(ZHANG Li-ping, GUO Li-xin. Vehicle dynamic load determination based on an inverse pseudo excitation method[J]. Journal of Northeastern University(Natural Science),2011,32(3): 415-418.(in Chinese))
    王静. 基于逆虚拟激励法的飞行器非定常气动力识别[J]. 四川兵工学报, 2012,33(11): 15-17.(WANG Jing. The identification of unsteady aerodynamic forces of vehicles based on an inverse pseudo excitation method[J]. Journal of Sichuan Ordnance,2012,33(11): 15-17.(in Chinese))
    熊铁华, 梁枢果, 邹良浩. 基于完全气弹模型风洞试验输电塔风荷载识别[J]. 建筑结构学报, 2010,31(10): 48-54.(XIONG Tie-hua, LIANG Shu-guo, ZOU Liang-hao. Wind loading identification of transmission towers based-on wind tunnel tests of full aero-elastic model[J]. Journal of Building Structures,2010,31(10): 48-54.(in Chinese))
    李龙龙, 吕令毅. 基于虚拟激励法的高耸结构风荷载识别[J]. 工程建设与设计, 2012,4: 72-75.(LI Long-long, L Ling-yi. Identification of the tall structure wind load based on pseudo-excitation method[J]. Journal of Building Structures,2012,4: 72-75.(in Chinese))
    林家浩, 高强, 钟万勰. 分层岩层介质中平稳随机地震波传播的精细解法[J]. 岩土力学, 2003,24(5): 677-681.(LIN Jia-hao, GAO Qiang, ZHONG Wan-xie. Precise computation for random earthquake wave propagation in stratified materials[J]. Rock and Soil Mechanics,2003,24(5): 677-681.(in Chinese))
    高强, 林家浩. 三维粘弹性分层介质中平稳随机波的传播[J]. 应用数学和力学, 2005,26(6): 723-734.(GAO Qiang, LIN Jia-hao. Stationary random waves propagation in 3D viscoelastic stratified solid[J]. Applied Mathematics and Mechanics,2005,26(6): 723-734.(in Chinese))
    Gao Q, Lin J H, Zhong W X, et al. Random wave propagation in a viscoelastic layered half space[J]. International Journal of Solids and Structures,2006,43(21): 6453-6471.
    Gao Q, Lin J H, Zhong W X, et al. Propagation of non-stationary random waves in viscoelastic stratified solids[J]. Computers and Geotechnics,2006,33(8): 444-453.
    Gao Q, Howson W P, Watson A, et al. Propagation of non-uniformly modulated evolutionary random waves in stratified viscoelastic solid[J]. Structural Engineering & Mechanics,2006,24(2): 213-225.
    Gao Q, Lin J H, Zhong W X, et al. Propagation of partially coherent non-stationary random waves in viscoelastic layered half-space[J]. Soil Dynamics and Earthquake Engineering,2008,28(4): 305-320.
    Gao Q, Lin J H, Zhong W X, et al. Isotropic layered soil-structure interaction caused by stationary random excitations[J]. International Journal of Solids and Structures,2009,46(3/4): 455-463.
    李杰, 廖松涛. 考虑岩土介质随机特性的工程场地地震动随机场分析[J]. 岩土工程学报, 2002,24(6): 685-689.(LI Jie, LIAO Song-tao. The analysis of coherency function of earthquake ground motion considering stochastic effect in site media[J]. Chinese Journal of Geotechnical Engineering,2002,24(6): 685-689.(in Chinese))
    王淮峰, 楼梦麟, 陈希, 等. 基于虚拟激励法的沉积盆地场地地震反应分析[J]. 岩土工程学报, 2013,35(2): 337-347.(WANG Huai-feng, LOU Meng-lin, CHEN Xi, et al. Pseudo-excitation method for seismic response analysis of sedimentary basin[J]. Chinese Journal of Geotechnical Engineering,2013,35(2): 337-347.(in Chinese))
    高忠鹏, 杨海天. 虚拟激励法求解激励随机热传导问题[J]. 热科学与技术, 2012,11(1): 1-7.(GAO Zhong-peng, YANG Hai-tian. Solving stochastic heat conduction problems via pseudo excitation method[J]. Journal of Thermal Science and Technology,2012,11(1): 1-7.(in Chinese))
    LIU Bao-shan, ZHAO Guo-zhong, Li A. PEM based sensitivity analysis for acoustic radiation problems of random responses[J]. Journal of Vibration and Acoustics,2010,132(2): 021012. doi: 10.1115/1.4000776.
    LIU Bao-shan, ZHAO Guo-zhong, SHI Lei. Design optimization of acoustic radiation from structures under random excitations[J]. Noise Control and Engineering,2010,58(2): 132-144.
    刘宝山, 赵国忠, 顾元宪. 复合材料层合板结构振动声辐射优化[J]. 振动与冲击, 2008,27(12): 31-35.(LIU Bao-shan, ZHAO Guo-zhong, GU Yuan-xian. Optimization of acostic radiation caused by structural vibration of composite laminated plates[J]. Journal of Vibration and Shock,2008,27(12): 31-35.(in Chinese))
    刘宝山. 结构振动声辐射灵敏度分析及优化设计研究[D]. 博士学位论文. 大连: 大连理工大学, 2010.(LIU Bao-shan. Research on acoustic radiation sensitivity analysis and design optimization of structural vibration[D]. PhD Thesis. Dalian: Dalian University of Technology, 2010.(in Chinese))
    陈钢. 内腔声-结构耦合系统的数值模拟与优化设计[D]. 博士学位论文. 大连: 大连理工大学, 2008.(CHEN Gang. Numerical simulation and design optimization for interior acoustic-structural coupled systems[D]. PhD Thesis. Dalian: Dalian University of Technology, 2008.(in Chinese))
    CHEN Gang, ZHAO Guo-zhong, CHEN Biao-song. Sensitivity analysis of coupled structural-acoustic systems subjected to stochastic excitation[J]. Structural and Multidisciplinary Optimization,2009,39(1): 105-113.
    王军, 林家浩. 剪切型非线性滞迟系统随机地震响应的虚拟激励分析[J]. 固体力学学报, 2001,22(1): 23-30.(WANG Jun, LIN Jia-hao. Seismic random response analysis non-linear hysteretic systems with pseudo excitation method[J]. Acta Mechanica Solida Sinica,2001,22(1): 23-30.(in Chinese))
    ZHAO Yan, LIN Jia-hao, ZHANG Ya-hui, et al. Seismic random vibration analysis of locally nonlinear structures[J]. Acta Mechanica Solida Sinica,2003,16(3): 240-244.
    Lin J H, Wang J, Zhang Y H. Non-stationary random response of MDOF Duffing systems[J]. Shock and Vibration,2004,11: 615-624.
    杜永峰, 张恩海, 李慧, 等. 隔震结构“小震不坏”的动力可靠度分析[J]. 地震工程与工程振动, 2004,24(5): 84-91.(DU Yong-feng, ZHANG En-hai, LI Hui, et al. Dynamic reliability of isolated structure for “undamaged under minor earthquake”[J]. Earthquake Engineering and Engineering Vibration,2004,24(5): 84-91.(in Chinese))
    杜永峰, 白莉, 李慧, 等. 基于动力可靠度的隔震结构参数模糊优化[J]. 世界地震工程, 2007,23(3): 60-67.(DU Yong-feng, BAI Li, LI Hui, et al. Fuzzy optimization of isolation parameters based on dynamic reliability[J]. World Earthquake Engineering,2007,23(3): 60-67.(in Chinese))
    杜永峰, 李春锋, 李慧. 粘滞阻尼减震结构最优极点配置与随机振动分析[J]. 振动与冲击, 2014,33(11): 114-118, 135.(DU Yong-feng, LI Chun-feng, LI Hui. Optimal pole disposal and random vibration analysis of structures with supplemental viscous damping[J]. Journal of Vibration and Shock,2014,33(11): 114-118, 135.(in Chinese))
    杜永峰, 李慧. 智能隔震: 基于能量响应和可靠度的前景分析[J]. 工程力学, 2006,23(S2): 5-13.(DU Yong-feng, LI Hui. Smart isolation: future prospect based on energy response and dynamic reliability[J]. Engineering Mechanics,2006,23(S2): 5-13.(in Chinese))
    李春锋, 杜永峰, 李慧. 连体位置对连体结构位移响应影响的平稳随机振动分析[J]. 特种结构, 2015,32(1): 23-27.(LI Chun-feng, DU Yong-feng, LI Hui. Stationary random vibration analysis of connection position affecting connected structures displacement response[J].Special Structures, 2015,32(1): 23-27.(in Chinese))
    李丽媛. 虚拟激励法的工程应用及参数研究[J]. 硕士学位论文. 大连: 大连理工大学工学, 2004.(LI Li-yuan. Engineering applications of pseudo excitation method and the parameter selection[D]. Master Thesis. Dalian: Dalian University of Technology, 2004.(in Chinese))
    卜国雄, 谭平, 张颖, 等. 大型超高层建筑的随机风振响应分析[J]. 哈尔滨工业大学学报, 2010,42(2): 175-179.(BU Guo-xiong, TAN Ping, ZHANG Ying, et al. Random wind-induced response analysis of a large-scale and high-rise building[J]. Journal of Harbin Institute of Technology,2010,42(2): 175-179.(in Chinese))
    张颖, 易伟建, 谭平, 等. 大震下中间层隔震体系的随机动力可靠性分析[J]. 湖南大学学报(自然科学版), 2009,36(3): 11-15.(ZHANG Ying, YI Jian-wei, TAN Ping, et al. The dynamic reliability of mid-story isolation structure under seldomly occurred earthquake[J]. Journal of Hunan University(Natural Science),2009,36(3): 11-15.(in Chinese))
    彭文海, 谭平, 候家健, 等. 非对称双塔连体结构柔性连接体系参数研究[J]. 华南地震, 2009,29(1): 8-16.(PENG Wen-hai, TAN Ping, HOU Jia-jian, et al. Connecting-parameters optimization of unsymmetrical double-tower flexible connecting system[J]. South China Journal of Seismology,2009,29(1): 8-16.(in Chinese))
    何勇, 龚顺风, 金伟良. 考虑几何非线性的海底悬跨管道疲劳可靠性分析方法[J]. 振动工程学报, 2009,22(3): 313-318.(HE Yong, GONG Shun-feng, JIN Wei-liang. Fatigue reliability analysis of submarine pipeline with free span considering geometrical nonl inearity[J].Journal of Vibration and Shock,2009,22(3): 313-318.(in Chinese))
    马长飞, 张亚辉, 谭平, 等. 高层基础隔震建筑非平稳随机响应改进算法[J]. 振动与冲击, 2013,32(4): 80-84.(MA Chang-fei, ZHANG Ya-hui, TAN Ping, et al. An improved method for non-stationary stochastic seismicresponse analysis of base-isolated high-rise buildings[J]. Journal of Vibration and Shock,2013,32(4): 80-84.(in Chinese))
    马长飞, 张亚辉, 谭平, 等. 三维非偏心基础隔震结构非平稳随机振动分析[J]. 工程力学, 2013,30(4): 198-203, 253.(MA Chang-fei, ZHANG Ya-hui, TAN Ping, et al. Non-stationary stochastic analysis for 3D non-eccentric base-isolated buildings[J]. Engineering Mechanics,2013,30(4): 198-203, 253.(in Chinese))
    黄茜, 臧峰刚, 张毅雄. 基于虚拟激励的滞变支撑耦合结构的随机地震响应分析[J]. 核动力工程, 2011,32(1): 10-15.(HUANG Qian, ZHANG Feng-gang, ZHANG Yi-xiong. Pseudo excitation random seismic response analysis for structures equipped with hysteretic dampers[J]. Nuclear Power Engineering,2011,32(1): 10-15.(in Chinese))
    LEI Song, ZHANG Wen-shou, LIN Jia-hao, et al. Frequency domain response of a parametrically excited riser under random wave forces[J]. Journal of Sound and Vibration,2014,333(2): 485-498.
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