计算机与数字工程2019，Vol.47Issue(7)：1847-1850,4.DOI:10.3969/j.issn.1672-9722.2019.07.056
基于Matlab的扇形环板轴向压缩变形的偏微分方程数值求解
Numerical Solution of Deflection Equation of Axial Compressive Deformation of a Fan Shaped Ring Plate Using Matlab
潘莉英 1曹岩2
作者信息
- 1. 陕西省宝鸡教育学院数学系 宝鸡 721004
- 2. 西安工业大学机电学院 西安 710021
- 折叠
摘要
Abstract
Based on the small deflection theory of the thin plate,a mathematical model of the deflection of the thin plate under the transverse load under the column coordinate system and a mathematical model of the deflection of the fan shaped ring under transverse load are respectively established. A new function of differential balance of Fan-shaped ring has been established and the expressions of general solution are also solved based on Matlab. The nine morphologies of flexion have been revealed via the solution of the deflection equation under nine different boundary conditions.关键词
扇形环板/微分方程/小挠度理论/挠度方程数值解Key words
fan shaped ring plate/differential equation/small deflection theory/numerical solution of deflection equation分类
数理科学引用本文复制引用
潘莉英,曹岩..基于Matlab的扇形环板轴向压缩变形的偏微分方程数值求解[J].计算机与数字工程,2019,47(7):1847-1850,4.
