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- W2045338031 abstract "The goal of this paper is to determine the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems using an analytical-and-numerical-combined method (ANCM). To this end, a technique was presented to replace each spring-damper-mass system by a massless equivalent spring-damper system with the specified effective spring constant and effective damping coefficient. Then, the mode superposition approach was used to transform the partial differential equation of motion into the matrix equation, and the eigenvalues of the complete system were determined from the associated characteristic equation. To verify the reliability of the presented theory, all numerical results obtained from the ANCM were compared with those obtained from the conventional finite element method (FEM) and good agreement was achieved. Since the order of the property matrices for the equation of motion obtained from the ANCM is much lower than that obtained from the FEM, the CPU time required by the ANCM is much less than that by the FEM." @default.
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- W2045338031 date "2003-09-25" @default.
- W2045338031 modified "2023-10-09" @default.
- W2045338031 title "On the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems" @default.
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- W2045338031 doi "https://doi.org/10.12989/sem.2003.16.3.341" @default.
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