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一种特殊梯度分布的功能梯度矩形板弯曲问题解析解

陈淑萍 赵红晓 武晋文 耿少波

宇航材料工艺2018,Vol.48Issue(1):16-21,6.
宇航材料工艺2018,Vol.48Issue(1):16-21,6.DOI:10.12044/j.issn.1007-2330.2018.01.004

一种特殊梯度分布的功能梯度矩形板弯曲问题解析解

Analytical Solutions for Bending Problems of Functionally Graded Rectangular Plates With Specific Material Gradient

陈淑萍 1赵红晓 2武晋文 1耿少波1

作者信息

  • 1. 中北大学理学院,太原030051
  • 2. 同济大学航空航天与力学学院,上海200092
  • 折叠

摘要

Abstract

Bending problems of functionally graded rectangular plates were analyzed.In terms of Plevako function,assuming that the Yang's modulus of the material was distributed through a power function in the thickness direction,an exact solution of bending problem of simply supported functionally graded rectangular plates was obtained by variable separation method.Through numerical examples,the variations of displacement and stress components with different graded material distributions were analyzed and different graded parameters were found to have significant effects on the structural behavior.The research serves as theoretical basis for the development of numerical methods and simplified theories of functionally graded material structure.

关键词

功能梯度材料/矩形板/简支/分离变量法/解析解

Key words

Functionally graded material/Rectangular plate/Simply supported/Variable separation method/Analytical solution

分类

数理科学

引用本文复制引用

陈淑萍,赵红晓,武晋文,耿少波..一种特殊梯度分布的功能梯度矩形板弯曲问题解析解[J].宇航材料工艺,2018,48(1):16-21,6.

基金项目

国家自然科学基金项目(51504220,11102138,51408558) (51504220,11102138,51408558)

中北大学科学研究基金项目(110246) (110246)

宇航材料工艺

OA北大核心CSCDCSTPCD

1007-2330

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