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Volume 36 Issue 8
Aug.  2010
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Journal of Beijing University of Aeronautics and Astronautics  > 2010  >  36(8): 949-952.
Wang Xingming, Liu Bo, Xing Yufenget al. Separation of variables solutions of stability problems of orthotropic rectangular thin plates[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(8): 949-952. (in Chinese)
Citation: Wang Xingming, Liu Bo, Xing Yufenget al. Separation of variables solutions of stability problems of orthotropic rectangular thin plates[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(8): 949-952. (in Chinese)
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Separation of variables solutions of stability problems of orthotropic rectangular thin plates

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

  • Received Date: 05 Jun 2009
  • Publish Date: 30 Aug 2010
    Abstract
  • The stability problems of orthotropic rectangular thin plates were solved by using separation of variables, and the analytic solutions were obtained for three boundary conditions, which are the same with the results in literature. The present solution method is much simpler than traditional semi-inverse method.The effects of the force boundary conditions on the implementation of separation of variables were also investigated. The basic method without causing Poisson-s effect and rigid displacement has also been presented. The laminated plate was reckoned to be the orthotropic rectangular thin plate whose buckling problems were solved with present method for the plate subjected to in-plane unidirectional distributed compressive force, the results agree well with those of finite element method, which validate the correctness and practicability of present method.

     

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  • [1] Biancolini M E,Brutti C,Reccia L.Approximate solution for free vibrations of thin orthotropic rectangular plates[J].Journal of Sound and Vibration,2005,288(1/2):321-344 [2] 徐芝纶.弹性力学[M].北京:高等教育出版社,2006 Xu Zhilun.Elastic Mechanics [M].Beijing:Higher Education Press,2006(in Chinese) [3] 刘锡礼,王秉权.复合材料力学基础[M].北京:中国建筑工业出版社,1984:23,93 Liu Xili,Wang Bingquan.Fundamental of mechanics of composite material [M].Beijing:China Architecture & Building Press,1984:23,93 [4] Xing Yufeng,Liu Bo.New exact solutions for free vibrations of thin orthotropic rectangular plates [J].Composite Structures,2009,89(4):567-574 [5] Mizusawa T.Buckling of rectangular Mindlin plates with tapered thickness by the spline strip method [J].International Journal of Solids and Structures,1993,30(12):1663-1677 [6] Hosseini-Hashemi S,Khorshidi Korosh,Marco Amabili.Exact solution for linear buckling of rectangular Mindlin plates[J].Journal of Sound and Vibration,2008,315(1/2):318-342
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