变厚度圆薄板在均布载荷下大挠度问题
The Large Deflection Problem of Circular Thin Plate with Variable Thickness under Uniformly Distributed Loads
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摘要: 本文首先给出变厚度圆薄板大挠度方程,用小参数方法和修正迭代法联合求解此问题,得到三次近似解;给出特征曲线同线性理论进行了比较.Abstract: In this paper,to begin with,the large deflection equation of variable thickness circular plates is given. By using small parameter method and revised iteration jointly a cubic approximate solution is obtained. A characteristic is also given for comparison with linear theory.
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[1] 钱伟长,叶开沅,圆薄板大挠度问题,物理学报,10, 3 (1954). [2] 叶开沅,变厚度弹性圆薄板问题,物理学报,11, 3 (1955). [3] 叶开沅,刘人怀等,兰州大学学报,2 (1965). [4] 陈山林,光积昌,圆薄板大挠度问题的摄动参数,应用数学和力学,2, 1 (1981). [5] S.铁摩辛柯,S.沃诺斯基,《板壳理论》,科学出版社,(1977). [6] 徐芝纶,《弹性力学》,人民教育出版社,(1979). -
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