Structural Engineering and Mechanics

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Interval finite element method based on the element for eigenvalue analysis of structures with interval parameters

  • Yang, Xiaowei (Department of Applied Mathematics, South China University of Technology) ;
  • Chen, Suhuan (Department of Mechanics, Jilin University) ;
  • Lian, Huadong (Department of Mechanics, Jilin University)
  • Published : 2001.12.25
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Abstract

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.

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References

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Cited by

  1. An efficient method for evaluating the natural frequencies of structures with uncertain-but-bounded parameters vol.87, pp.9-10, 2009, https://doi.org/10.1016/j.compstruc.2009.02.009
  2. Natural frequencies of structures with interval parameters vol.347, 2015, https://doi.org/10.1016/j.jsv.2015.02.037