摘要
研究了弹塑性梁系统的动力学特性.从弹塑性梁的非线性本构关系出发,同时考虑几何非线性,用虚功原理建立单个梁的动力学变分方程,利用假设模态法离散.在此基础上引入运动学约束关系,建立了弹塑性梁系统的刚-柔耦合动力学方程.对重力作用下的柔性单摆和双摆数值仿真结果表明,塑性应变引起横向变形绝对值增大和横向振动振幅衰减,在角加速度突变时塑性效应最为显著.
The dynamic performance of elasto-plastic beams system was investigated. Based on the nonlinear constitutive relation,the dynamics variational equations for an elasto-plastic beam was established using virtual work principle, in which the geometric nonlinear effect was also taken into account. The assumed mode method was used for discretization, and then the kinematic constraint equations were used to derive the dynamic equations for multi-body system. Simulations of single pendulum and double pendulum under gravity show the effect of plastic strain on dynamic characteristics of beams, leading to the increase of the absolute value of the average transverse deformation and the decrease of transverse vibration amplitude. Significant effect of plastic strain was revealed in case of sudden change of angular acceleration.
出处
《动力学与控制学报》
2010年第3期197-201,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10472066
10772113)~~
关键词
弹塑性梁系统
非线性本构关系
动力学
elasto-plastic beams system
nonlinear constitutive relation
dynamics
