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

作　　者：Jieyu Ding Zhenkuan Pan 

机构地区：[1]College of Information Engineering Qingdao University,Qingdao 266071,China

出　　处：《Theoretical & Applied Mechanics Letters》2012年第6期61-64,共4页力学快报（英文版）

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

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.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.

关 键 词：multibody system optimization augmented Lagrange method differential-algebraic equa-tions generalized-α method 

分 类 号：O313.3[理学—一般力学与力学基础] TH126[理学—力学]