An exact nonlinear hybrid-coordinate formulation for flexible multibody systems  

作　　者：Jinyang Liu Jiazhen Hong LinCui 

机构地区：[1]Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, China

出　　处：《Acta Mechanica Sinica》2007年第6期699-706,共8页力学学报（英文版）

基　　金：the National Natural Science Foundation of China(10472066,50475021).

摘　　要：The previous low-order approximate nonlinear formulations succeeded in capturing the stiffening terms, but failed in simulation of mechanical systems with large deformation due to the neglect of the high-order deformation terms. In this paper, a new hybrid-coordinate formulation is proposed, which is suitable for flexible multibody systems with large deformation. On the basis of exact strain- displacement relation, equations of motion for flexible multi-body system are derived by using virtual work principle. A matrix separation method is put forward to improve the efficiency of the calculation. Agreement of the present results with those obtained by absolute nodal coordinate formulation （ANCF） verifies the correctness of the proposed formulation. Furthermore, the present results are compared with those obtained by use of the linear model and the low-order approximate nonlinear model to show the suitability of the proposed models.The previous low-order approximate nonlinear formulations succeeded in capturing the stiffening terms, but failed in simulation of mechanical systems with large deformation due to the neglect of the high-order deformation terms. In this paper, a new hybrid-coordinate formulation is proposed, which is suitable for flexible multibody systems with large deformation. On the basis of exact strain- displacement relation, equations of motion for flexible multi-body system are derived by using virtual work principle. A matrix separation method is put forward to improve the efficiency of the calculation. Agreement of the present results with those obtained by absolute nodal coordinate formulation （ANCF） verifies the correctness of the proposed formulation. Furthermore, the present results are compared with those obtained by use of the linear model and the low-order approximate nonlinear model to show the suitability of the proposed models.

关 键 词：Nonlinear hybrid-coordinate formulation Flexible multibody systems Large deformation 

分 类 号：O31[理学—一般力学与力学基础]