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轴向压力下功能梯度夹层圆柱曲板的屈曲分析

李华东 朱锡 梅志远 张颖军

华中科技大学学报:自然科学版2012,Vol.40Issue(11):72-76,5.
华中科技大学学报:自然科学版2012,Vol.40Issue(11):72-76,5.

轴向压力下功能梯度夹层圆柱曲板的屈曲分析

Buckling analysis of functionally graded sandwich cylindrical panels under axial compression

李华东 1朱锡 1梅志远 1张颖军1

作者信息

  • 1. 海军工程大学船舶与动力学院,湖北武汉430033
  • 折叠

摘要

Abstract

Based on the Reissner assumptions, the buckling of simply supported functionally graded sandwich cylindrical panels under axial loads was studied. First, according to the constitutive equa- tions of functionally graded materials, the expressions of stresses, displacements and internal forces of the core and surface sheets were presented. Then, according to the equilibrium and compatibility e quations of cylindrical panels, with the introduction of stress function, the equation expressions for functionally graded sandwich cylindrical panels were obtained. Finally, the calculation formula of axial buckling load of functionally graded sanwich cylindrical panels were derived by expanding the deflec- tionw, transverse shearing force and stress functionwith double trigonometric series that satisfy the simply supported boundary conditions. The proposed solution is validated by comparing the results with the classical and finite element solutions, And the effects of the core's top-bottom Youngrs mod- ulus ratio and volume fraction exponent on the axial buckling loads of the functionally graded sandwich panels are examined.

关键词

功能梯度材料/夹层板/圆柱曲板/屈曲/简支/双三角级数

Key words

functionally graded materials/sandwich plate/cylindrical panels/buckling/simply sup-ported/double trigonometric series

分类

数理科学

引用本文复制引用

李华东,朱锡,梅志远,张颖军..轴向压力下功能梯度夹层圆柱曲板的屈曲分析[J].华中科技大学学报:自然科学版,2012,40(11):72-76,5.

基金项目

国家自然科学基金资助项目 ()

华中科技大学学报:自然科学版

OA北大核心CSCDCSTPCD

1671-4512

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