弹性地基上正交各向异性变厚度圆薄板的大挠度问题

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Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure

摘要: 本文推出了均布载荷下弹性基地上的正交各向异性变厚度圆薄板大挠度问题的基本方程。利用修正迭代法获得了该问题的二阶近似解。
- 变厚度圆薄板 /
- 大挠度 /
- 修正迭代法
Abstract: Basic equations for large deflection theory of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate on elastic foundation with variable thickness under uniform pressure, If ε=0, R=100 and R=200, μ=0,3, λ=1 then the result derived from the solution in this paper agrees statisfactorily with the result given by Galerkin's method^[1] for solving large deflection problem of thin circular, plate with constant thickness on elastic foundation under uniform pressure.
- variable thickness /
- thin circular plate /
- large deflection

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[4]	叶开沉、刘人怀等,在对称线布载荷作用下的圆底扁薄球壳的非线性稳定问题,科学通报,(2) (1965),142.
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