弹性圆板在一侧受均载而四周固定的条件下不用Kirchhoff-Love假设的一级近似理论(Ⅱ)
The First-Order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundary under Uniform Surface Loading(Ⅱ)
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摘要: 本文在前文[1]所得的微分方程和有关边界条件的基础上,求得了这些方程在有关边界条件下的解析解.当然,为了节省计算工作量,我们进一步简化了一级近似理论,使它在保持合理的基础上,更加简单化了.Abstract: Based upon the differntial equations and their related boundary conditions givenin the prerious papert[1], this poper finds the analytical solution of non-Kirchhoff-Lovetheory for elastic circular plate with fixed boundary conditions under uniform surfaceloading. However, for the sake of Saving conrputational work. the first orderapproximation theory can be further simplified in more rational bases.
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[1] 钱伟长,弹性圆薄板在一侧受均载而四周固定的条件下不用Kirchhoff-Love假设的一级近似理论(I),应用数学和力学,18(1) (1997),1-17. [2] G,Kirchhoff,Über das Gleichgewicht und die Bewegungeiner elastischen Scheibe,Journal filr die refine and Angezvandte Math,(CrÜle),40 (1850),51-88. [3] A,E,N,Love,A Treatise on the Mathematical Theory of Elasticity,Cambridge (1937). [4] A.E,McPherson,W,Ramberg and S,Levy,Normal Pressure Tests on Gircutar Plates with Clamped Edges,NACA Report,(744) (1943). -
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