中文摘要：

研究了大变形弹塑性梁的刚-柔耦合动力学特性.从弹塑性梁的非线性本构关系和非线性应变-位移关系出发,给出了曲率的精确表达式;基于绝对节点坐标法,用虚功原理建立了大变形弹塑性梁的动力学变分方程;用有限元法对梁进行离散,建立了大变形弹塑性梁的刚-柔耦合动力学方程.对重力作用下的柔性单摆进行数值仿真.结果表明,弹塑性梁的横向变形呈现平均值大和振幅衰减的特征,计算结果较基于小变形理论的一次近似模型稳定,适用于大变形问题.

英文摘要：

Rigid-flexible coupling dynamic performance of an elasto-plastic beam with large deformation was investigated.Based on nonlinear constitutive relation and nonlinear strain-displacement relationship,and using exact expression of curvature,dynamics variational equations for an elasto-plastic beam with large deformation were established using virtual work principle and absolute nodal coordinate formulation.Finite element method was used for discretization,and then rigid-flexible coupling dynamic equations were established.The simulations of a single pendulum under gravity show that elasto-plastic strain leads to the increase of the absolute value of the average transverse deformation and the decrease of transverse vibration amplitude.Furthermore,the comparison of the present nonlinear formulation with one-order approximate dynamic model based on the theory of small deformation shows that the present result is stable for large deformation problem.