杆的离散系统的某些混合型振动反问题  

Some Inverse Mixed Problems of Discrete System of a Rod

作　　者：王其申[1] 刘铭徽[1] 章礼华[1] 

机构地区：[1]安庆师范学院物理与电气工程学院,安徽安庆246011

出　　处：《计算物理》2015年第3期321-326,共6页Chinese Journal of Computational Physics

摘　　要：研究杆的离散系统的混合型振动反问题,即由给定的部分频谱数据和部分模态数据构造一个杆的离散系统的刚度矩阵和质量矩阵.提出3个此类反问题,给出反问题的解法,讨论反问题的解的存在条件,给出相应的计算实例,并分析这类反问题的潜在价值.Inverse mixed problems of a discrete system for a rod are studied, i.e. , stiffness and mass matrices of discrete system of a rod are reconstructed from some frequency data and part of mode data. Three inverse mixed problems are formulated. Solving methods for these problems are given. And conditions of existing solutions for these inverse problems are discussed. Numerical examples are also shown. Potential worth for this type of inverse problems is analysed.

关 键 词：杆 离散系统 混合反问题 算例 

分 类 号：O327[理学—一般力学与力学基础] O151.21[理学—力学]