Solution of an inverse problem for "fixed-fixed" and "fixed-free" spring-mass systems
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.
spring-mass systeminverse problem in vibrationinverse eigenvalue problemJacobi matrixnatural frequency
吴笑千、蒋尔雄
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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
spring-mass system inverse problem in vibration inverse eigenvalue problem Jacobi matrix natural frequency