三次样条函数在假设模态综合法中的应用

Application of Third Order Spline Function to Assumped Modal Synthesis Technique

对复杂结构进行振动分析的模态综合法已发展得较为成熟,它在应用上的限制主要是部件模态假设的困难(尤其是非规则部件),而综合结果的可信度在相当程度上取决于是否能得到一组合理的假设模态 。本文介绍的利用三次样条函数插值法求取转轴耦合系统各部件连续主模态的方法,有效地解决了这个问题。

Modal synthesis technique, which is often used in vibration analysis of complex structures, has been greatly developed, but its application is mainly restricted by the difficulty of modal assumptiou especially when the substructures are non-regular, and the reliability of the synthesis results depends, to a great extent, on whether a series of reasonable modal functions can be obtained. Presented here is the technique to get the continuous main modal functions for substructures by using the third order spline functions, which is proved effective