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Structural Engineering and Mechanics Volume 12, Number 6, December 2001 , pages 669-684 DOI: https://doi.org/10.12989/sem.2001.12.6.669 |
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Interval finite element method based on the element method based on the element for eigenvaluse analysis of structures with interval parameters |
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Xiaowei Yang, Suhuan Chen and Huadong Lian(China)
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| Abstract | ||
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A new method for solving the uncertain eigenvalue problems of the structures with interval parameters, interval finite element method based on the element, is presented in this paper. The calculations are done on the element basis, hence, the efforts are greatly reduced. In order to illustrate the accuracy of the method, a continuous beam system is given, the results obtained by it are compared with those obtained by Chen and Qiu (1994); in order to demonstrate that the proposed method provides safe bounds for the eigenfrequencies, an undamping spring-mass system, in which the exact interval bounds are known, is given, the results obtained by it are compared with those obtained by Qiu et al. (1999), where the exact interval bounds are given. The numerical results show that the proposed method is effective for estimating the eigenvalue bounds of structures with interval parameters. | ||
| Key Words | ||
| interval parameters; interval eigenvalue analysis; interval finite element method. | ||
| Address | ||
| Xiaowei Yang, Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, China Suhuan Chen and Huadong Lian, Department of Mechanics, Jilin University, Changchun 130025, China | ||