| Solution of an inverse problem for ＂fixed-fixed＂ and ＂fixed-free＂ spring-mass systems |
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| 引用本文： | 吴笑千,蒋尔雄.Solution of an inverse problem for ＂fixed-fixed＂ and ＂fixed-free＂ spring-mass systems[J].上海大学学报(英文版),2007,11(1):27-27. |
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| 作者姓名： | 吴笑千 蒋尔雄 |
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| 作者单位： | Department of Mathematics College of Sciences Shanghai University，Department of Mathematics College of Sciences，Shanghai University，Shanghai 200444，P.R.China，Shanghai 200444，P.R.China |
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| 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.
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| 关 键 词： | “固定-固定” “固定-自由” 弹簧 质点系统 反问题 |
| 收稿时间： | 2005-07-25 |
| 修稿时间： | 2005-12-02 |
Solution of an inverse problem for “fixed-fixed” and “fixed-free” spring-mass systems |
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| WU Xiao-qian,JIANG Er-xiong.Solution of an inverse problem for “fixed-fixed” and “fixed-free” spring-mass systems[J].Journal of Shanghai University(English Edition),2007,11(1):27-27. |
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| Authors: | WU Xiao-qian JIANG Er-xiong |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | 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-free” spring-mass systems. An example was given to illustrate the results.
Project supported by the National Natural Science Foundation of China(Grant No.10271074) |
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| Keywords: | spring-mass system inverse problem in vibration inverse eigenvalue problem Jacobi matrix natural frequency |
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