刚-柔体动力学方程的保辛摄动迭代法

Iterative Symplectic Perturbation Method for the Dynamic Analysis of Rigid-Flexible Bodies Equations

针对刚-柔体动力学方程,提出保辛摄动迭代算法.该方法把刚-柔体动力学方程的低频运动和高频振动分开处理,用保辛摄动的思想来处理低、高频耦合作用,从而可以采用较大时间步长进行数值积分,即可给出满意的数值结果,很好地解决了刚性积分问题.数值算例表明该方法是可行的.

The iterative symplectic perturbation method was proposed for the dynamic analysis of rigid-flexible bodies equations. With the proposed method, the low-frequency motion and high-frequency motion were treated separately. The symplectic perturbation method was applied to the coupling terms jointly caused by the low- and high-frequency motions. The proposed method could give correct numerical results with relatively larger time steps. It overcomes the difficult stiff integral problem. Numerical examples show that the proposed method is valid for the dynamic analysis of rigid-flexible bodies equations.