摘要
对于轨道不平顺作用下具有不确定结构参数的车轨耦合系统随机振动灵敏度问题进行了研究。车辆采用多刚体动力学模型,弹性轨道采用无穷周期子结构进行模拟。在哈密顿对偶体系下建立了车轨耦合系统混合物理坐标及辛对偶坐标的动力学方程,应用解析手段推导出其相对系统不确定参数的灵敏度控制方程。进一步,基于虚拟激励法和辛方法建立了车轨耦合系统随机振动响应灵敏度分析方法。数值算例结果表明:所提出的灵敏度分析方法具有较高的计算精度,并保留了虚拟激励法高效的特性。该文所开展的工作对于车辆系统动力学参数设计与优化具有很好的参考价值。
Sensitivity analysis for coupled vehicle-track systems with uncertain parameters subjected to track irregularity is studied.The vehicle is modeled as a multi-rigid-body system and the track is regarded as an infinite periodic structure.The equations of motion are established in mixed physics and symplectic dual coordinate systems in the Hamiltonian system and the sensitivity equations with respect to the uncertain parameters are derived by using analytical method.The combined pseudo-excitation method and symplectic method is then used to derive the random response sensitivities for coupled vehicle-track systems.Numerical examples show that the proposed method has both highly accuracy and efficiency due to the application of pseudo-excitation method.The work is a good reference for the design and optimization of vehicle kinetic parameters.
出处
《工程力学》
EI
CSCD
北大核心
2013年第4期360-366,共7页
Engineering Mechanics
基金
"973"国家重点基础研究计划项目(2010CB832704)
"十一五"国家科技支撑计划项目(2009BAG12A04)
大连理工大学理科基础科研专题(DUT12LK50)
关键词
车轨耦合系统
虚拟激励法
辛方法
不确定
灵敏度
coupled vehicle-track system
pseudo-excitation method
symplectic mathematical method
parameter uncertainty
analytical sensitivity
