把分布参数系统等效成集中参数系统的两种方法  

Two methods about wbtained equivalent concentrated parameter system of distributed parameter system

作　　者：王其申[1] 

机构地区：[1]安庆师范学院物理系,安徽安庆246011

出　　处：《安庆师范学院学报（自然科学版）》2001年第4期1-4,共4页Journal of Anqing Teachers College(Natural Science Edition)

摘　　要：以圆膜的横振动为例 ,讨论了把具有分布参数的振动系统等效成具有集中参数的振动系数的两种方法 :一是通过对动能的等效来求得等效质量 ,然后再求得等效弹性系数 [1] ;二是通过对位能的等效来求得等效弹性系数 ,然后再求等效质量。结果表明 。In this paper two methods about obtained equivalent concentrated paremeter system of distributed parameter system are discussed.Firstly,the equivalent mass is obtained from the equivalency of the kinetic energy at first,then the equivalent rigidity is obtained.Secondly,the equivalent rigidity is obtained from the equivalency of the potential energy at first,then the equivalent mass is obtained.It is shown that two methods are equivalency.

关 键 词：弹性体 圆膜 等效集中参数 振动系统 分布参数系统 集中参数系统 横振动 等效弹性系数 

分 类 号：O326[理学—一般力学与力学基础]