弹性地基上正交各向异性变厚度圆薄板的大挠度问题
Large Deflection Problem of Thin Orthotropic Circular Plate on Elastic Foundation with Variable Thickness under Uniform Pressure
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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.
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Key words:
- variable thickness /
- thin circular plate /
- large deflection
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[1] Chia Chuenyuan,Nonlinear Analysis of Plates,printed and bound in the United States of America (1980). [2] Y.Nath,Large amplitude response of circular plates foundations,Int.J.Nonlinear Mech.,17,4 (1982).285-296. [3] R.Baton,Stress in circular plate on elastic foundation,J.Eng.Mech.Dir.Proc.ASCE,98 (EMB) (1972),629-640. [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. [5] 刘人怀,在内边缘均布力矩作用下中心开孔圆底扁球壳的非线性稳定问题,科学通报,(3) (1965),253. [6] Yeh Kaiyuan and Wang Xinzhi,Modified iteration method in the problem of large deflection of thin circular plates with non-uniform thickness.Proc.of the International Conference on Nonlinear Mechanics,Shanghai,Editor-in-Chief Chien Weizang,Science Press (1995),398-403. -
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