An exact nonlinear hybrid-coordinate formulation for flexible multibody systems

作者：Liu, Jinyang^*; Hong, Jiazhen; Cui, Lin

来源：Acta Mechanica Sinica, 2007, 23(6): 699-706.

DOI：10.1007/s10409-007-0118-x

• nonlinear hybrid-coordinate formulation
• flexible multibody systems
• large deformation

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 multibody 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.

• 出版日期2007-12
• 单位上海交通大学