期刊文献+

用伽辽金法解弹性地基上自由矩形板弯曲、稳定和振动问题 被引量:8

Solutions of the Bending、Stability and Vibration of Rectangular Plates with Four Free Edges on Elastic Foundatins by Method of Galerkin
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摘要 选取一个全部满足自由边边界条件和自由角点条件的挠度函数,它由三角函数和多项式组成。利用方法得到弹性地基上自由边矩形板弯曲、稳定和振动问题的解.并给出了数值算例. in this Paper,the flexual function which consists of trigonometrical function and Polynomial expression is selected.It satisfies all the boundary conditions on free edges and the conditions at four free corner Points.Solutions for bending,stability and vibrations of the rectangular plates with four free edges on elastic foundations by method of Galerkin are obtained.In this Paper,the results of numerical example are given.
出处 《青岛建筑工程学院学报》 1994年第1期6-12,共7页 Journal of Qingdao Institute of Architecture and Engineering
关键词 弹性地基 自由矩形板 伽辽金法 elastic foundation,rectangular plates with four flee edges,method of Galerkin,bending, stability,vibration
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同被引文献39

  • 1肖勇刚,傅衣铭,查旭东.考虑地基耦合效应时中厚矩形板的非线性自由振动分析[J].力学季刊,2004,25(3):322-329. 被引量:2
  • 2张祥,宋启根,朱万福.双参数弹性地基上厚板的有限元边界元联合解法[J].岩土工程学报,1995,17(1):46-52. 被引量:8
  • 3钟阳,张永山.弹性地基上四边自由矩形薄板的解析解[J].应用数学和力学,2006,27(6):735-740. 被引量:13
  • 4王春玲,黄义,贾继红.弹性半空间地基上四边自由矩形板稳态振动的解析解[J].应用数学和力学,2007,28(2):156-164. 被引量:9
  • 5Shen H S,Yang J,Zhang L. Dynamic response of Reissner- Mindlin plates under thermomechanical loading and resting on elastic foundations. Journal of Sound and Vibration ,2000,232:309-329.
  • 6Shen H - S ,Yang J ,Zhang L. Free and forced vibration of Reissner -Mindlin plates with flee edges resting on elastic foundations. Journal of Sound and Vibration,2001,244:299-320.
  • 7Shen H S. Nonlinear bending of Reissner - MincUin plates with free edges under transverse and in - plane loads and resting on elastic foundations [ J ]. Int-ernational Journal of Mechanical Sciences, 1999,41:845-864.
  • 8Liew K M, Wang C M. pb-2 Rayleigh - Ritz method for general plate analysis [ J ]. Engineering Structures, 1993,15 ( 1 ) :55-60.
  • 9Sonzogni V E, Idelsohn S R. Free vibration of rectangular plates of exponentially varying thickness and with a free edge[J]. Journal of Sound and Vibration, 1990,140(3):513-522.
  • 10Bhaskar A, Dumir P C. Non-linear vibration of orthotropic thin rectangular plates on elastic foundations[J]. Journal of Sound and Vibration, 1988, 125(1): 1-11.

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