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Structural Engineering and Mechanics Volume 13, Number 3, March 2002 , pages 299-312 DOI: https://doi.org/10.12989/sem.2002.13.3.299 |
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Dynamic response analysis for structures with interval parameters |
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Su Huan Chen, Hua Dong Lian and Xiao Wei Yang (China)
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| Abstract | ||
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In this paper, a new method to solve the dynamic response problem for structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even an optimum scheme is adopted when there are many interval structural parameters. With the interval algorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices are developed. Based on the matrix perturbation theory and interval extension of function, the upper and lower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the interval operations. A numerical example, dynamic response analysis of a box cantilever beam, is given to illustrate the validity of the present method. | ||
| Key Words | ||
| interval extension of function; interval characters matrices; matrix perturbation theory; interval of dynamic response. | ||
| Address | ||
| Su Huan Chen and Hua Dong Lian, Department of Mechanics, Jilin University, Changchun 130025, P.R. China Xiao Wei Yang, Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, P.R. China | ||