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

YANG Yan; DING Hu; CHEN Li-qun

doi:10.3879/j.issn.1000-0887.2013.09.001

Volume 34 Issue 9

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2013 > 34(9): 881-890

YANG Yan, DING Hu, CHEN Li-qun. Nonlinear Vibration of Vehicle-Pavement Coupled System Based on High-Order Galerkin Truncation[J]. Applied Mathematics and Mechanics, 2013, 34(9): 881-890. doi: 10.3879/j.issn.1000-0887.2013.09.001

Citation:

PDF( 1462 KB)

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

doi: 10.3879/j.issn.1000-0887.2013.09.001

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)

Received Date: 2013-06-21
Publish Date: 2013-09-15

Abstract

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

FullText(HTML)

References(16)

References

[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))