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不确定车轨耦合系统辛随机振动分析

赵岩 项盼 张有为 林家浩

赵岩, 项盼, 张有为, 林家浩. 不确定车轨耦合系统辛随机振动分析[J]. 力学学报, 2012, (4): 769-778. doi: 10.6052/0459-1879-11-361
引用本文: 赵岩, 项盼, 张有为, 林家浩. 不确定车轨耦合系统辛随机振动分析[J]. 力学学报, 2012, (4): 769-778. doi: 10.6052/0459-1879-11-361
Zhao Yan, Xiang Pan, Zhang Youwei, Lin Jiahao. SYMPLECTIC RANDOM VIBRATION ANALYSIS FOR COUPLED VEHICLE-TRACK SYSTEMS WITH PARAMETER UNCERTAINTIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (4): 769-778. doi: 10.6052/0459-1879-11-361
Citation: Zhao Yan, Xiang Pan, Zhang Youwei, Lin Jiahao. SYMPLECTIC RANDOM VIBRATION ANALYSIS FOR COUPLED VEHICLE-TRACK SYSTEMS WITH PARAMETER UNCERTAINTIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (4): 769-778. doi: 10.6052/0459-1879-11-361

不确定车轨耦合系统辛随机振动分析

doi: 10.6052/0459-1879-11-361
基金项目: 国家自然科学基金(50608012,10502011);国家重点基础研究发展计划(2010CB832704)和大连理工大学理科基础科研专题(DUT12LK50)资助项目.
详细信息
  • 中图分类号: U211.4

SYMPLECTIC RANDOM VIBRATION ANALYSIS FOR COUPLED VEHICLE-TRACK SYSTEMS WITH PARAMETER UNCERTAINTIES

Funds: The project was supported by the National Natural Science Foundation of China (50608012, 10502011); the National Basic Research Program of China (2010CB832704) and Science Basic Research Topic of DUT (DUT12LK50).
  • 摘要: 建立了轨道不平顺作用下具有不确定参数车轨耦合系统随机振动评估方法. 车辆系统采用物理坐标下多刚体系统模型,并应用高斯随机变量模拟车体、转向架和轮对一系、二系连接系统中动力学参数具有的不确定性. 采用无穷周期结构进行弹性轨道模拟,在哈密顿状态空间下建立了典型轨道子结构的状态运动方程,通过轮轨耦合关系建立了混合 物理坐标及辛模态坐标车轨耦合系统运动方程. 应用Hermite正交多项式展开得到了耦合系统动力响应相对于不确定性参数的控制方程. 由于利用轨道周期特性建模,所获得的控制方程有效地降低了方程维度. 轮轨接触处轨道不平顺载荷模拟为完全相干多分量平稳随机过程,推广和发展虚拟激励法建立了耦合系统随机振动受不确定动力学 参数影响的量化评估方法. 通过Monte Carlo数值模拟,验证了该方法在不确定参数变异很大时也能够保持较好的精度,具有一定的工程实用性.

     

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出版历程
  • 收稿日期:  2011-12-07
  • 修回日期:  2012-01-31
  • 刊出日期:  2012-07-18

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