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样条子域法和有限条法的组合解非规则板的弯曲
引用本文:周思原,王宁怀,陈维新. 样条子域法和有限条法的组合解非规则板的弯曲[J]. 华东理工大学学报(自然科学版), 1991, 0(4)
作者姓名:周思原  王宁怀  陈维新
作者单位:华东化工学院机械工程系(周思原,王宁怀),华东化工学院机械工程系(陈维新)
摘    要:将样条子域法及有限条法的基本原理组合,处理不同边界条件的非规则板的弯曲,扩大了两法的应用范围。和有限元相比,具有计算量小、精度高、程序编制方便、容易在微机上实现等优点。在工程设计和计算工作中便于推广使用,并给出了几个实际算例。为了验证组合法的可靠性,还做了一个内外边界均为固支的开大孔板的弯曲实验,计算值和实验值结果相当符合。

关 键 词:样条函数  弯曲  样条子域法  有限条法  非规则板  板条函数

Numerical Analysis on Bending of Irregular Plates by Combining the Spline Subdomain Method and the Finite Strip Method
Zhou Siyuan,Wang Ninghuai and Chen Weixin. Numerical Analysis on Bending of Irregular Plates by Combining the Spline Subdomain Method and the Finite Strip Method[J]. Journal of East China University of Science and Technology, 1991, 0(4)
Authors:Zhou Siyuan  Wang Ninghuai  Chen Weixin
Affiliation:Department of Mechanical Engineering
Abstract:A new numerical method is presented to deal with the irregular plates with various boundary conditions in bending. It is based on the principles of the spline subdomain method and the finite strip one. As a direct result, the application ranges of these two methods are extended. When compared with the finite element method, the new method has less amount of computation work, higher accuracy, and is more convenient to compile a computer program. Due to these characteristics, it is possible to easily apply the new method to actual engineering design by using personal computers. As its applications, several numerical examples are also provided. In addition, a bending experiment for the plate with a circle hole is performed. The numerical results are fairly in agreement with the experimental ones.
Keywords:bending  spline function  spline subdomain method  finite strip mehod  irregular plate  plate strip function
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