Optimization of multibody systems based on the generalized-α projection method for DAEs

作     者：Jieyu Ding Zhenkuan Pan 

作者机构：College of Information Engineering Qingdao UniversityQingdao 266071China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2012年第2卷第6期

页      面：61-64页

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (11002075 and 10972110) 

主　　题：multibody system optimization augmented Lagrange method differential-algebraic equa-tions generalized-α method 

摘      要：Efficient optimization strategy of multibody systems is developed in this paper. Aug- mented Lagrange method is used to transform constrained optimal problem into unconstrained form firstly. Then methods based on second order sensitivity are used to solve the unconstrained problem, where the sensitivity is solved by hybrid method. Generalized-α method and generalized-α projection method for the differential-algebraic equation, which shows more efficient properties with the lager time step, are presented to get state variables and adjoint variables during the optimization procedure. Numerical results validate the accuracy and efficiency of the methods is presented.