WANG Jue, ZHOU Ding. A Modeling Method for Soil-FoundationWind Turbine Seismic Analysis Based on Foundation Impedance[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1246-1257. doi: 10.21656/1000-0887.390114
Citation: WANG Jue, ZHOU Ding. A Modeling Method for Soil-FoundationWind Turbine Seismic Analysis Based on Foundation Impedance[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1246-1257. doi: 10.21656/1000-0887.390114

A Modeling Method for Soil-FoundationWind Turbine Seismic Analysis Based on Foundation Impedance

doi: 10.21656/1000-0887.390114
Funds:  The National Natural Science Foundation of China(51708179);China Postdoctoral Science Foundation(2018M632216)
  • Received Date: 2018-04-11
  • Rev Recd Date: 2018-05-16
  • Publish Date: 2018-11-01
  • A Chebyshev nested lumped-parameter model (LPM) was proposed to incorporate the frequency-dependent impedances into the time history analysis of soil-foundation-wind turbine systems. The complex Chebyshev polynomials were introduced to approximate the foundation impedances with the least squares curve-fitting technique. The computational program for seismic analysis of the system was developed based on the direct integration of the governing equation in the time domain. The validity and efficiency of the computational program were verified through the comparison examples. The time history analysis of a wind turbine supported by a pile group foundation under seismic excitation shows the universality and stability of the computational program. The advantage of the Chebyshev nested LPM is that it can express the frequency-dependent impedance accurately in the time domain and avoid the high-order numerical oscillation. The nested form of the model enables wider application to different kinds of foundations. In addition, as the present model adopts no mass unit, it avoids the problem of modifying the seismic loading at the node of the foundation and makes the analysis of practical engineering more convenient.
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  • [1]
    CHOPRA A K, PERUMALSWAMI P R. Dam foundation interaction during earthquakes[C]// Proceedings of the 〖STBX〗4th WCEE.Santiago, Chile, 1969.
    DOBRY R. Simplified methods in soil dynamics[J]. Soil Dynamics and Earthquake Engineering,2014,61(2): 246-268.
    蒋通, 田治见宏. 地基-结构动力相互作用分析方法: 薄层法原理及应用[M]. 上海: 同济大学出版社, 2009.(JIANG Tong, TAJIMI H. Soil-Structure Interaction: Theory and Application of Thin Layered Method [M]. Shanghai: Tongji University Press, 2009.(in Chinese))
    王珏, 周叮, 刘伟庆, 等. 相邻明置刚性条形基础的水平-摇摆耦合阻抗研究[J]. 振动工程学报, 2016,29(2): 253-260.(WANG Jue, ZHOU Ding, LIU Weiqing, et al. Coupled lateral-rocking impedances of adjacent rigid strip foundations rested on elastic half-space[J]. Journal of Vibration Engineering,2016,〖STHZ〗 29(2): 253-260.(in Chinese))
    WANG J, ZHOU D, LIU W. Horizontal impedance of pile groups considering shear behavior of multilayered soils[J]. Soils and Foundations,2014,54(5): 927-937.
    易伟建, 马文丽, 刘光栋. 土-结构动力相互作用的振型分解法[J]. 湖南大学学报(自然科学版), 2004,31(3): 68-71.(YI Weijian, MA Wenli, LIU Guangdong. Modal analysis of soil-structure dynamic interaction[J]. Journal of Hunan University(Natural Sciences),2004,31(3): 68-71.(in Chinese))
    黄茂松, 钟锐. 海上风机部分埋入群桩水平-摇摆振动与结构共振分析[J]. 岩土工程学报, 2014,36(2): 286-294.(HUANG Maosong, ZHONG Rui. Coupled horizontal-rocking vibration of partially embedded pile groups and its effect on resonance of offshore wind turbine structures[J]. Chinese Journal of Geotechnical Engineering,2014,〖STHZ〗 36(2): 286-294.(in Chinese))
    赵岩, 贾甜, 周瑞鹏. 地震作用下管道-土耦合结构非平稳随机振动分析[J]. 应用数学和力学, 2018,39(5): 394-505.(ZHAO Yan, JIA Tian, ZHOU Ruipeng. Non-stationary radom vibration analysis of coupled pipeline-soil systems under earthquake[J]. Applied Mathematics and Mechanics,2018,39(5): 394-505.(in Chinese))
    栾茂田, 林皋. 地基动力阻抗的双自由度集总参数模型[J]. 大连理工大学学报, 1996,36(4): 477-481.(LUAN Maotian, LIN Gao. 2-DOF lumped-parameter model of dynamic impedances of foundation soils[J]. Journal of Dalian University of Technology,1996,36(4): 477-481.(in Chinese))
    王满生, 胡聿贤, 周锡元. 利用改进的EKF滤波技术识别成层土集总参数模型的参数[J]. 振动工程学报, 2006,19(2): 252-257.(WANG Mansheng, HU Yuxian, ZHOU Xiyuan. Identification of parameters in lumped-parameter model of layered-soil by using improved EKF method[J]. Journal of Vibration Engineering,2006,19(2): 252-257.(in Chinese))
    WANG Q, WANG J T, JIN F, et al. Real-time dynamic hybrid testing for soil-structure interaction analysis[J]. Soil Dynamics and Earthquake Engineering,2011,31(12): 1690-1702.
    杜修力, 赵建锋. 考虑土-结构相互作用效应的结构地震响应时域子结构分析法[J]. 北京工业大学学报, 2007,33(5): 517-523.(DU Xiuli, ZHAO Jianfeng. A time-domain substructure method for seismic response analysis with soil-structure interaction effect[J]. Journal of Beijing University of Technology,2007,33(5): 517-523.(in Chinese))
    WOLF J P. Consistent lumped-parameter models for unbounded soil: physical representation[J]. Earthquake Engineering & Structural Dynamics,1991,20(1): 11-32.
    WOLF J P. Consistent lumped-parameter models for unbounded soil:frequency-independent stiffness, damping and mass matrices[J]. Earthquake Engineering & Structural Dynamics,1991,20(1): 33-41.
    WU W H, LEE W H. Systematic lumped-parameter models for foundations based on polynomial-fraction approximation[J]. Earthquake Engineering & Structural Dynamics,2002,31(7): 1383-1412.
    WU W H, LEE W H. Nested lumped-parameter models for foundation vibrations[J]. Earthquake Engineering & Structural Dynamics,2004,33(9): 1051-1058.
    SAITOH M. On the performance of lumped parameter models with gyro-mass elements for the impedance function of a pile-group supporting a single-degree-of-freedom system[J]. Earthquake Engineering & Structural Dynamics,2012,41(4): 623-641.
    WU W, CHEN C. Simplified soil-structure interaction analysis using efficient lumped-parameter models for soil[J]. Journal of the Japanese Geotechnical Society,2002,42(6): 41-52.
    DU X L, ZHAO M. Stability and identification for rational approximation of frequency response function of unbounded soil[J]. Earthquake Engineering & Structural Dynamics,2010,39(2): 165-186.
    刘伟庆, 王海, 王曙光, 等. 群桩基础阻抗函数的集总参数模型研究[J]. 振动与冲击, 2011,30(11): 249-253.(LIU Weiqing, WANG Hai, WANG Shuguang, et al. Lumped-parameter model of pile group impedance function[J]. Journal of Vibration and Shock,2011,30(11): 249-253.(in Chinese))
    赵宏, 高广运, 姜洲. 基于矢量匹配-劳斯法的群桩阻抗改进模型[J]. 岩土力学, 2014,35(9): 2448-2463.(ZHAO Hong, GAO Guangyun, JIANG Zhou. An improved model for dynamic impedance of pile groups based on vector fitting-Routh method[J]. Rocking and Soil Mechanics,2014,35(9): 2448-2463.(in Chinese))
    MASON J C, HANDSCOMB D C. Chebyshev Polynomials[M]. USA: CRC Press, 2002.
    刘晶波, 杜修力. 结构动力学[M]. 北京: 机械工业出版社, 2005.(LIU Jingbo, DU Xiuli. Dynamics of Structures [M]. Beijing: China Machine Press, 2005.(in Chinese))
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