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Volume 40 Issue 12
Dec.  2014
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Journal of Beijing University of Aeronautics and Astronautics  > 2014  >  40(12): 1773-1779.
Zhang Xudong, Qiu Zhiping, Li Qiet al. Application of fuzzy variational principle in solution of natural frequency of structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(12): 1773-1779. doi: 10.13700/j.bh.1001-5965.2013.0749(in Chinese)
Citation: Zhang Xudong, Qiu Zhiping, Li Qiet al. Application of fuzzy variational principle in solution of natural frequency of structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(12): 1773-1779. doi: 10.13700/j.bh.1001-5965.2013.0749(in Chinese)
shu

Application of fuzzy variational principle in solution of natural frequency of structures

doi: 10.13700/j.bh.1001-5965.2013.0749

  • School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 08 Jan 2014
  • Publish Date: 20 Dec 2014
    Abstract
  • When dealing with the natural frequency of structures with fuzzy parameters, the previous methods are limited to the case that the fuzzy parameters are transformed into the interval parameters before the calculation, and then the fuzzy results are constructed by the interval results. The calculation cost of the previous methods is relatively expensive, so the fuzzy Ritz method and the fuzzy finite element method which are based on the fuzzy variational principle were adopted. By introducing the fuzzy parameters into Rayleigh quotient variation, the fuzzy variational principle was developed. The fuzzy Ritz method and the fuzzy finite element method were proposed as the application of the fuzzy variational principle. These two methods can obtain the fuzzy result directly. Compared with the traditional interval analysis methods, the proposed methods can increase computational efficiency. The numerical example demonstrates that both methods can achieve high computational accuracy and reduce computational cost significantly.

     

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