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考虑地基耦合效应的矩形中厚板的非线性静力分析 被引量:2

NONLINEAR STATIC ANALYSIS OF MODERATELY THICK RECTANGULAR PLATE CONSIDERING THE COUPLED EFFECT OF ELASTIC FOUNDATION
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摘要 基于能量变分原理,考虑板的横向剪切和地基耦合效应,建立了双参数地基上弹性中厚板的非线性控制方程。应用伽辽金法对双参数地基上四边自由矩形中厚板的非线性弯曲问题进行了探讨。数值计算中考虑了系统各种参数变化对弯曲问题的影响。 The nonlinear governing equations of the moderately thick plate resting on two-parameter foundation including transverse shear deformation and coupled effect of the foundation are derived. By using the Galerkin method, the nonlinear bending behavior of the moderately thick rectangular plate with four free edges on two-parameter foundation is analyzed. The effects of different parameters of the system on static bending are considered.
出处 《工程力学》 EI CSCD 北大核心 2004年第4期189-193,198,共6页 Engineering Mechanics
基金 国家自然科学基金资助项目(50208004) 交通部资助项目(200231582512)
关键词 矩形中厚板 弹性地基 非线性 伽辽金法 静力分析 Bending (deformation) Elasticity Foundations Galerkin methods Shear stress
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参考文献5

  • 1[1]Rudolph Szilard. Theory and Analysis of Plates Classical and Numerical Methods[M]. PRENTICE-HALL, INC. 1974.
  • 2[3]T F Faw, X P Shi, S A Tan. Use of Pasternak Foundation in Concrete Pavement Analysis [J]. Journal of Transportation Engineering, 1996(7): 323-328.
  • 3[4]T F Faw, X P Shi, S A Tan. Analysis of concrete pavements by rectangular thick-plate model [J]. Journal of Transportation Engineering, 1996, (3): 146-154.
  • 4[5]X P Shi, S A Tan, T F Faw. Solution for a rectangular thick plate with free edges on the Pasternak Foundation [J]. J. Engrg. Mech., ASCE, 1994, 120(5): 971-988.
  • 5[6]X P Shi, T F Faw, S A Tan. Warping stresses in concrete pavement on Pasternak Foundation [J]. J. Transp. Engrg., ASCE, 1993, 119(6): 905-913.

同被引文献19

  • 1石小平,姚祖康.Пастернак基础上四边自由矩形厚板的解[J].同济大学学报(自然科学版),1989,17(2):173-184. 被引量:8
  • 2黄义,韩建刚.中厚板问题的多变量小波有限元法[J].工程力学,2005,22(2):73-78. 被引量:3
  • 3杜永峰,王晓琴.双参数弹性地基上自由矩形中厚板问题分析尝试[J].兰州理工大学学报,2005,31(4):104-107. 被引量:6
  • 4Gajiendar N. Large amplitude vibrations of plates on elastic foundation [J]. International Journal of Nonlinear Mechanics, 1967, 2(1): 163- 168.
  • 5Nath. Large amplitude response of circular plate on elastic foundation [J]. International Journal of Nonlinear Mechanics, 1982, 17(4): 285-296.
  • 6Dumir P C. Nonlinear vibration and post bucking of isotropic thin circular plate on elastic foundation [J]. Journal of Sound and Vibration, 1986, 107(2): 253-263.
  • 7Szilard Rudolph.Theory and Analysis of plates classical and Numerical Methods[M].Prentice-Hall Inc,1974.
  • 8Faw T F,ShiX P,Tan S A.Use of Pasternak Foundation in Concrete Pavement Analysis[J].Journal of Transportation Engineering,1996(7):323-328.
  • 9Faw T F,Shi X P,Tan S A.Analysis of concrete pavements by rectangular thick-plate model[J].Journal of transportation Engineering,1996,(3):146-154.
  • 10Shi X P,Tan S A,Faw T F.Solution for a rectangular thick plate with free edges on the Pastnak Foundation[J].J Engrg Mech ASCE,1994,120(5):971-988.

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