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车路耦合非线性振动高阶Galerkin截断研究

杨燕 丁虎 陈立群

杨燕, 丁虎, 陈立群. 车路耦合非线性振动高阶Galerkin截断研究[J]. 应用数学和力学, 2013, 34(9): 881-890. doi: 10.3879/j.issn.1000-0887.2013.09.001
引用本文: 杨燕, 丁虎, 陈立群. 车路耦合非线性振动高阶Galerkin截断研究[J]. 应用数学和力学, 2013, 34(9): 881-890. doi: 10.3879/j.issn.1000-0887.2013.09.001
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: 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

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
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

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

Funds: The National Natural Science Foundation of China(10932006;11232009)
  • 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.
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出版历程
  • 收稿日期:  2013-06-21
  • 刊出日期:  2013-09-15

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