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正交异性椭圆薄板大挠度问题的摄动变分解
引用本文:史宏斌,钟伟芳,黄玉盈,朱达善.正交异性椭圆薄板大挠度问题的摄动变分解[J].华中科技大学学报(自然科学版),1997(3).
作者姓名:史宏斌  钟伟芳  黄玉盈  朱达善
作者单位:Shi Hongbin Dept. of Mechanics,HUST,Wuhan 430074,China. Zhong Weifang Huang Yuying Zhu Dashan
摘    要:选择中心挠度为摄动参数,利用摄动方法将正交异性椭圆薄板大挠度问题的非线性偏微分方程组逐级线性化,导出了各级摄动对应的几个线性偏微分方程组,然后再借助变分法求解,得到了均布载荷作用下正交异性椭圆薄板的载荷-挠度曲线

关 键 词:摄动法  变分原理  大挠度  正交异性薄板

A Perturbation Variational Solution to Large Deflection of Orthotropic Elliptic Thin Plates under Uniformly Distributed Load
Shi Hongbin Dept. of Mechanics,HUST,Wuhan ,China. Zhong Weifang Huang Yuying Zhu Dashan.A Perturbation Variational Solution to Large Deflection of Orthotropic Elliptic Thin Plates under Uniformly Distributed Load[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(3).
Authors:Shi Hongbin Dept of Mechanics  HUST  Wuhan  China Zhong Weifang Huang Yuying Zhu Dashan
Institution:Shi Hongbin Dept. of Mechanics,HUST,Wuhan 430074,China. Zhong Weifang Huang Yuying Zhu Dashan
Abstract:
Keywords:perturbation method  variational principle  large deflection  orthotropic thin plates
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