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在充分考虑摄动法和数值分析法特点的基础上,提出一种既能对弹性机构非线性动力学方程求得较高精度的解、又能深入研究这类弹性机构动力学特性的新方法——迭代式模态叠加多尺度法:首先利用多尺度法求解系统动力学响应的一次近似解,然后将该一次近似解作为系统广义坐标初值,利用迭代式模态叠加法求得系统动态响应的精确解,其精确度通过预先设定的一个小的正数来控制.算例分析表明,该方法是可靠、有效的.
Based on the characteristics of perturbation method and numerical analysis, a new method that can not only obtain more accurate solution to the nonlinear dynamic equation of elastic mechanism but also study the dynamic characteristics of such elastic mechanism - Iterative modal superposition of multi-scale method: First, the multi-scale method is used to solve the first order approximate solution of the system dynamics response, and then the first approximate solution is used as the initial value of the system generalized coordinate, and the iterative modal superposition method is used to obtain the system dynamics The exact solution of the response, whose accuracy is controlled by a small positive number set in advance, shows that the method is reliable and effective.