杆的离散系统的某些混合型振动反问题

计算物理 ›› 2015, Vol. 32 ›› Issue (3): 321-326.

杆的离散系统的某些混合型振动反问题

王其申, 刘铭徽, 章礼华

安庆师范学院物理与电气工程学院, 安徽安庆 246011

收稿日期:2014-04-09 修回日期:2014-07-20 出版日期:2015-05-25 发布日期:2015-05-25
作者简介:王其申(1947-),男,教授,主要从事弹性结构振动定性性质及其反问题研究,E-mail:wangqsh@aqtc.edu.cn

Some Inverse Mixed Problems of Discrete System of a Rod

WANG Qishen, LIU Minghui, ZHANG Lihua

Department of Physics, Anqing Teachers College, Anqing Anhui 246011, China

Received:2014-04-09 Revised:2014-07-20 Online:2015-05-25 Published:2015-05-25

摘要/Abstract

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.

关键词: 杆, 离散系统, 混合反问题, 算例

Abstract: 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.

Key words: rod, discrete system, inverse mixed problems, numerical examples

中图分类号:

O327
O151.21

王其申, 刘铭徽, 章礼华. 杆的离散系统的某些混合型振动反问题[J]. 计算物理, 2015, 32(3): 321-326.

WANG Qishen, LIU Minghui, ZHANG Lihua. Some Inverse Mixed Problems of Discrete System of a Rod[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 32(3): 321-326.

[1]	楼建锋, 何长江, 朱建士, 王政. 长杆侵彻中材料参数对侵彻性能的影响[J]. 计算物理, 2009, 26(4): 559-563.
[2]	卢敏, 刘维清, 罗飞, 魏望和. [111]晶向银纳米杆结构稳定性的分子动力学研究[J]. 计算物理, 2009, 26(1): 121-128.
[3]	谈梅兰, 王鑫伟, 甘立飞. 空间弹性细杆在扭矩作用下的屈曲[J]. 计算物理, 2006, 23(4): 447-450.