柔性多体系统设计灵敏度的高效计算方法  

Efficient approach to compute design sensitivities of flexible multibody systems

作　　者：皮霆[1] 张云清[1] 陈立平[1] 

机构地区：[1]华中科技大学机械科学与工程学院,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2011年第7期5-8,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60874064)

摘　　要：通过使用绝对节点坐标方法和非线性应变位移关系,提出了一种组装柔性多体系统设计灵敏度方程的方法.该方法不仅可以避免推导灵敏度方程所需的大量符号计算,而且能够提高计算灵敏度的效率.给出了平面柔性曲柄滑块机构的算例,通过直接微分法与伴随变量法的对比,表明所提出的方法不仅能够保证精度,而且对于中等规模的设计灵敏度分析,能够使直接微分法达到与伴随变量法相当的效率,具有广泛的工程应用价值.In order to obtain the sensitivity equations for flexible multibody systems, a general method was proposed, which can improve the efficiency of sensitivity analysis by using the absolute nodal coordinate formulation （ANCF） and nonlinear strain-displacement relations, without using many complicated symbolic differentiations for deducing the sensitivity equations. A planar flexible crank slider example was employed to verify the proposed method through the comparison between the direct dif- ferentiation method and the adjoint variable method. Results show that not only the accuracy of the sensitivities is assured, but also the efficiency of the direct differentiation method is improved to be comparable with the adjoint variable method when the number of design variables is medium, which shows a wide engineering application value.

关 键 词：动力学 灵敏度分析 柔性多体系统 绝对节点坐标 直接微分法 

分 类 号：TH113[机械工程—机械设计及理论] O313[理学—一般力学与力学基础]