Solution of an inverse problem for“fixed-fixed”and“fixed-free”spring-mass systems  

作　　者：吴笑千 蒋尔雄 

机构地区：[1]Department of Mathematics College of Sciences,Shanghai University

出　　处：《Journal of Shanghai University(English Edition)》2007年第1期27-32,共6页上海大学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.10271074)

摘　　要：The tridiagonal coefficient matrix for the ＂fixed-fixed＂ spring-mass system was obtained by changing spring length. And then a new algorithm of the inverse problem was designed to construct the masses and the spring constants from the natural frequencies of the ＂fixed-fixed＂ and ＂fixed-fres＂ spring-mass systems. An example was given to illustrate the results.The tridiagonal coefficient matrix for the ＂fixed-fixed＂ spring-mass system was obtained by changing spring length. And then a new algorithm of the inverse problem was designed to construct the masses and the spring constants from the natural frequencies of the ＂fixed-fixed＂ and ＂fixed-fres＂ spring-mass systems. An example was given to illustrate the results.

关 键 词：spring-mass system inverse problem in vibration inverse eigenvalue problem Jacobi matrix natural frequency 

分 类 号：O175[理学—数学]