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.
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Project supported by the National Natural Science Foundation of China(Grant No.10271074)
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Wu, Xq., Jiang, Ex. Solution of an inverse problem for “fixed-fixed” and “fixed-free” spring-mass systems. J. of Shanghai Univ. 11, 27–32 (2007). https://doi.org/10.1007/s11741-007-0104-3
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DOI: https://doi.org/10.1007/s11741-007-0104-3
Keywords
- spring-mass system
- inverse problem in vibration
- inverse eigenvalue problem
- Jacobi matrix
- natural frequency