关于对称结构体系自由振动力特性的证明

The Proof on the Dynamic Characteristics of the Free Vibration of the Symmetric Systems

给出了有关对称结构体系的动力特性的一个结论 :对称的结构振动体系 ,对应于任一非重根的自振频率 ,其主振型必定是对称的或反对称的 .并给出了详细的证明 .应用这个结论 ,有利于对称结构动力分析的简化 。

A conclusion has been proved in delail that only if the natural frequency ω k of a symmetric structure is not a duplicate root,the vibration mode of the strusture must be symmetrical or antisymmetrical.This conclusion is advantageous to simplify the structural dynamic analysis and pratically useful.