车路耦合非线性振动高阶Galerkin截断研究

杨燕; 丁虎; 陈立群

doi:10.3879/j.issn.1000-0887.2013.09.001

车路耦合非线性振动高阶Galerkin截断研究

doi: 10.3879/j.issn.1000-0887.2013.09.001

杨燕¹,
丁虎¹,
陈立群^1,2

¹上海大学,上海市应用数学和力学研究所,上海 200072;²上海大学力学系,上海 200444

基金项目: 国家自然科学基金资助项目(10932006；11232009)；上海市教育委员会科研创新项目(12YZ028)；上海市重点学科建设项目(S30106)；上海市青年科技启明星计划资助项目(11QA1402300)

详细信息

作者简介:
杨燕(1988—), 女, 浙江台洲人，硕士研究生(E-mail: yangyan19880827@126.com);丁虎(1978—), 男, 副研究员, 博士(通讯作者.E-mail: dinghu3@shu.edu.cn).

中图分类号: O302
计量
- 文章访问数: 1711
- HTML全文浏览量: 170
- PDF下载量: 1377
- 被引次数: 0
出版历程
- 收稿日期: 2013-06-21
- 刊出日期: 2013-09-15

Nonlinear Vibration of Vehicle-Pavement Coupled System Based on High-Order Galerkin Truncation

¹Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;²Department of Mechanics,Shanghai University, Shanghai 200444, P.R.China

Funds: The National Natural Science Foundation of China(10932006；11232009)

摘要

摘要: 将移动车辆模型化为运动的两自由度质量-弹簧-阻尼系统，道路模型化为立方非线性黏弹性地基上的弹性梁，并将路面不平度设定为简谐函数．通过受力分析，建立车路非线性耦合振动高阶偏微分方程．采用高阶Galerkin截断结合数值方法求解耦合系统的动态响应．首次研究不同截断阶数对车路耦合非线性振动动态响应的影响，确定Galerkin截断研究车路耦合振动的收敛性．研究结果表明，对于软土地基的沥青路面，耦合振动的动态响应，需要150阶以上的截断才能达到收敛效果．并通过高阶收敛的Galerkin截断研究了系统参数对车路耦合非线性振动动态响应的影响.
- 非线性 /
- 地基梁 /
- 耦合振动 /
- Galerkin方法 /
- 路面不平度
Abstract: The moving vehicle was modeled as a two DOF spring-mass-damper system. The pavement structure was modeled as an elastic beam on a nonlinear viscoelastic foundation. The nonlinear foundation and the road surface roughness were respectively assumed to be cubic and a harmonic function. The nonlinear partial differential governing equations of the vehicle-pavement coupled vibration were developed. The dynamic response of the coupled system was solved with the high-order Galerkin truncation method in conjunction with numerical method. The effects of different truncation orders on the dynamical responses of the vehicle-pavement nonlinear vibration were discussed, and the convergence of the Galerkin truncation to investigate the vehicle-pavement coupled vibration were determined for the first time. The study shows that the numerical investigation into dynamical response of the asphalt pavement on soft soil foundation needs over 150 terms.The influences of system parameters on the dynamical response were numerically studied via the high-order convergent Galerkin truncation method.
- nonlinearity /
- foundation beam /
- coupled vibration /
- Galerkin method /
- road surface roughness

HTML全文

参考文献(16)

[1]	李奇, 吴定俊, 邵长宇. 考虑车体柔性的车桥耦合系统建模与分析方法[J]. 振动工程学报, 2011,24(1): 41-47. (LI Qi, WU Ding-jun, SHAO Chang-yu. Modeling and dynamic analysis method of vehiclebridge coupling system considering car-body flexibility[J].Journal of Vibration Engineering,2011,24(1): 41-47.(in Chinese))
[2]	殷新锋, 蔡春声, 刘扬. 基于面接触的车桥耦合振动研究[J]. 振动工程学报, 2012,25(3): 244-252. (YIN Xin-feng, CAI Chun-sheng, LIU Yang. Vehicle-bridge coupled vibration based on the patch contact[J].Journal of Vibration Engineering,2012,25(3): 244-252.(in Chinese))
[3]	YANG Shao-pu, LI Shao-hua, Lu Yong-jie. Dynamics of vehicle-pavement coupled system based on a revised flexible roller contact tire model[J].Science in China Series E: Technological Sciences,2009,52(3): 721-730.
[4]	李韶华, 杨绍普. 重型汽车与路面的耦合作用研究[J]. 振动与冲击, 2009,28(6): 155-158. (LI Shao-hua, YANG Shao-pu. Dynamical interaction between heavy vehicle and road pavement[J].Journal of Vibration and Shock,2009,28(6): 155-158.(in Chinese))
[5]	肖勇刚, 朱素红. 车桥耦合系统的非线性动力分析[J]. 振动与冲击, 2007,26(8): 104-108. (XIAO Yong-gang, ZHU Su-hong. Nonlinear dynamic analysis of vehicle-bridge coupled interaction system[J].Journal of Vibration and Shock,2007,26(8): 104-108.(in Chinese))
[6]	张庆, 史家钧, 胡振东. 车辆桥梁耦合作用分析[J]. 力学季刊, 2003,24(4): 577-584. (ZHANG Qing, SHI Jia-jun, HU Zhen-dong. Coupled interaction analysis on vehicle-bridge system[J].Chinese Quarterly of Mechanics,2003,24(4): 577-584.(in Chinese))
[7]	Yang Y B, Lin C W. Vehiclebridge interaction dynamics and potential application[J].Journal of Sound and Vibration,2005,284(1/2): 205-226.
[8]	Esmailzadeh E, Jalili N. Vehicle-passenger-structure interaction of uniform bridges traversed by moving vehicles[J].Journal of Sound and Vibration,2003,260(4):611-635.
[9]	梁波, 苏世毅, 罗红. 不平整条件下车路耦合作用动力分析[J]. 工程力学, 2009,26(3): 189-194. (LIANG Bo, SU Shi-yi, LUO Hong. Coupled dynamic analysis of vehicle-road system under roughness conditions[J].Engineering Mechanics,2009,26(3): 189-194.(in Chinese))
[10]	DING Hu, CHEN Li-qun, YANG Shao-pu. Convergence of Galerkin truncation for dynamic response of finite beams on nonlinear foundations under a moving load[J].Journal of Sound and Vibration,2012,331(10): 2426-2442.
[11]	Ansari M, Esmailzadeh E, Younesian D. Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load[J].Nonlinear Dynamics,2010,61(1/2): 163-182.
[12]	Ansari M, Esmailzadeh E, Younesian D. Frequency analysis of finite beams on nonlinear Kelvin-Voight foundation under moving loads[J].Journal of Sound and Vibration,2011,330(7): 1455-1471.
[13]	Zheng D Y, Au F T K, Cheung Y K. Vibration of vehicle on compressed rail on viscoelastic foundation[J]. Journal of Engineering Mechanics,2000,126(11): 1141-1147.
[14]	NorambuenaContreras J, CastroFresno D, VegaZamanillo A, Celaya M, LombilloVozmediano I. Dynamic modulus of asphalt mixture by ultrasonic direct test[J].Ndt & E International,2010,43(7): 629-634.
[15]	YANG Shao-pu, LI Shao-hua, LU Yong-jie. Investigation on dynamical interaction between a heavy vehicle and road pavement[J].Vehicle System Dynamics,2010,48(8): 923-944.
[16]	陈炎, 黄小清, 马友发. 车桥系统的耦合振动[J]. 应用数学和力学, 2004,25(4): 354-358.(CHEN Yan, HUANG Xiao-qing, MA You-fa. Coupling vibration of vehicle-bridge system[J]. Applied Mathematics and Mechanics,2004,25(4): 354-358.(in Chinese))

施引文献

资源附件(0)

访问统计

计量

文章访问数: 1711
HTML全文浏览量: 170
PDF下载量: 1377
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

车路耦合非线性振动高阶Galerkin截断研究

doi: 10.3879/j.issn.1000-0887.2013.09.001

作者简介:
杨燕(1988—), 女, 浙江台洲人，硕士研究生(E-mail: yangyan19880827@126.com);丁虎(1978—), 男, 副研究员, 博士(通讯作者.E-mail: dinghu3@shu.edu.cn).

计量

Nonlinear Vibration of Vehicle-Pavement Coupled System Based on High-Order Galerkin Truncation

计量

目录

留言板

车路耦合非线性振动高阶Galerkin截断研究

doi: 10.3879/j.issn.1000-0887.2013.09.001

作者简介: 杨燕(1988—), 女, 浙江台洲人，硕士研究生(E-mail: yangyan19880827@126.com);丁虎(1978—), 男, 副研究员, 博士(通讯作者.E-mail: dinghu3@shu.edu.cn).

计量

出版历程

Nonlinear Vibration of Vehicle-Pavement Coupled System Based on High-Order Galerkin Truncation

计量

出版历程

目录

作者简介:
杨燕(1988—), 女, 浙江台洲人，硕士研究生(E-mail: yangyan19880827@126.com);丁虎(1978—), 男, 副研究员, 博士(通讯作者.E-mail: dinghu3@shu.edu.cn).