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圆板非线性问题的一种近似解
引用本文:徐鉴,平庆元,王新志.圆板非线性问题的一种近似解[J].兰州理工大学学报,1988(4).
作者姓名:徐鉴  平庆元  王新志
作者单位:甘肃工业大学基础课教学研究部 (徐鉴,平庆元),甘肃工业大学基础课教学研究部(王新志)
摘    要:本文对圆板非线性问题提出了一种近似解,给出并证明了计算量小、程序简明、精确度较高的迭代程序,求解了圆薄板周边固定在均布载荷下的大挠度的二次近似解。其结果更逼近于实验值。

关 键 词:非线性  迭代程序  摄动参数

An Approximate Solution of Non-linear Problem of Circular Plates
Xu Jian,Ping Qingyana,Wang Xinzhi.An Approximate Solution of Non-linear Problem of Circular Plates[J].Journal of Lanzhou University of Technology,1988(4).
Authors:Xu Jian  Ping Qingyana  Wang Xinzhi
Institution:Xu Jian,Ping Qingyana,Wang Xinzhi Department of Basic Courses Teching
Abstract:In this paper,a method is given for solving approximately the non-linear problem of circular plates. It is proved that the method has advantages of little amount of calculation, simple iterative procedure, and giving comparatively more accurate results. By using this method in the case where the circular plate is subjected to uniformly distributed loads with clamped edges, the second-order approximate solution of the large deflection problem is obtained and the results are closeer to those of experiments.
Keywords:non-linear problem  iterative procedure  perturbation parameter
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