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力积分法和振型转换法是处理连续体撞振问题的常用方法。虽然作者已在前期提出了相对振型转换法,进一步扩展了传统振型转换法的适用范围,但尚未对其与力积分法求解结果差异进行深入研究。文章分别采用力积分法和相对振型转换法对基于工程背景的实际算例进行了数值求解,进而通过一种差异指标研究了刚度、阻尼对求解结果差异的影响。将上述两种方法与现有实验数据进行对比,结果表明,刚度增大与阻尼减小均会导致两种方法的分析结果差异增大,尤其当刚度提高到一定程度,即撞振为刚性撞击时,需要与实验结果对比确定仿真的正确性。对比两种方法数值求解过程可以发现,力积分法易于数值实现,而相对振型转换法具有计算效率高、收敛性好等优点。
Force integration method and mode conversion method is to deal with continuous body vibration problem commonly used method. Although the author has proposed the relative mode-switching method in the early stage and further expanded the applicable range of the traditional mode-switching method, the difference between the method and the force integral method has not been studied in depth. In this paper, the force integration method and the relative mode transformation method are respectively used to solve the practical case based on the engineering background. Then the influence of stiffness and damping on the difference of the solution results is studied by a difference index. Comparing the above two methods with the existing experimental data, the results show that the increase of stiffness and the decrease of damping both lead to the difference of the analytical results of the two methods, especially when the stiffness increases to a certain extent, that is, the impact vibration is a rigid impact When compared with the experimental results, the correctness of the simulation needs to be confirmed. Comparing the numerical solution of the two methods, it can be found that the force integration method is easy to realize numerically, while the relative mode conversion method has the advantages of high computational efficiency and good convergence.