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变厚度锥壳的非线性弯曲与稳定性问题 被引量:1

Nonlinear Deflection and Stability Problem of Conic Shells With Variable Thickness
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摘要 本文用变厚度板壳大挠度理论的修正迭代法,对周边夹紧固定、在均布载荷作用下的变厚度扁圆薄锥壳大挠度问题进行了求解,得到了精确度较高的二次近似解析解。本文结果可退化到等厚度扁圆薄锥壳、变厚度圆薄板及等厚度圆薄板构件在均布载荷作用下的非线性弯曲问题的相应结果。 In this paper, by using the modified iterative method of large deflection theory for plates and shells with vartiable thickness, the large deflection problem of shallow conic thin shells with variable thickness subjected to uniformly distributed loads is studied under the clamped edge boundary conditions, and a second-order approximate analytical solution with higher accuracy is obtained. The results given in this paper can be degenerated to those of the nonlinear deflection problems of shallow conic thin shells with uniform thickness, circular thin plates with variable thickness , and circular thin plates with uniform thickness under the action of uniform distributed loads.
出处 《甘肃工业大学学报》 1991年第4期83-88,共6页 Journal of Gansu University of Technology
关键词 锥壳 非线性 弯曲 稳定性 大挠度 conic shell, large deflection, approximate analytic solution, stability
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参考文献4

  • 1叶志明.变厚度圆底扁薄球壳的非线性稳定问题[J]力学学报,1984(06).
  • 2杨嘉实,谢志成.变厚度圆板大挠度理论的摄动法[J]应用数学和力学,1984(02).
  • 3王新志.变厚度圆薄板在均布载荷下大挠度问题[J]应用数学和力学,1983(01).
  • 4王新志.园锥形扁薄壳在均布荷载作用下非线性稳定问题[J]甘肃工业大学学报,1980(01).

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