赵伟东, 高士武, 马宏伟. 功能梯度扁球壳在热-机械荷载作用下的屈曲分析[J]. 工程力学, 2018, 35(12): 220-228. DOI: 10.6052/j.issn.1000-4750.2017.09.0686
引用本文: 赵伟东, 高士武, 马宏伟. 功能梯度扁球壳在热-机械荷载作用下的屈曲分析[J]. 工程力学, 2018, 35(12): 220-228. DOI: 10.6052/j.issn.1000-4750.2017.09.0686
ZHAO Wei-dong, GAO Shi-wu, MA Hong-wei. THERMOMECHANICAL BUCKLING ANALYSIS OF FUNCTIONALLY GRADED SHALLOW SPHERICAL SHELLS[J]. Engineering Mechanics, 2018, 35(12): 220-228. DOI: 10.6052/j.issn.1000-4750.2017.09.0686
Citation: ZHAO Wei-dong, GAO Shi-wu, MA Hong-wei. THERMOMECHANICAL BUCKLING ANALYSIS OF FUNCTIONALLY GRADED SHALLOW SPHERICAL SHELLS[J]. Engineering Mechanics, 2018, 35(12): 220-228. DOI: 10.6052/j.issn.1000-4750.2017.09.0686

功能梯度扁球壳在热-机械荷载作用下的屈曲分析

THERMOMECHANICAL BUCKLING ANALYSIS OF FUNCTIONALLY GRADED SHALLOW SPHERICAL SHELLS

  • 摘要: 基于经典壳理论,应用虚功原理和变分法推导了均匀变温场中的功能梯度圆底扁球壳在均布外侧压力作用下的位移型几何非线性控制方程。考虑固定夹紧边界条件,运用打靶法计算获得了球壳轴对称变形的数值结果。考察了材料体积分数指数、组分材料弹性模量和均匀变温场对壳体平衡路径,上、下临界荷载以及平衡构型的影响。数值结果表明,随材料体积分数指数的增加和组分材料弹性模量的减小,壳体上、下临界荷载均会显著减小。均匀升温,会使壳体上临界荷载显著增加,下临界荷载轻微减小。为方便工程设计人员进行几何、材料、荷载和变温参数的选取,给出了一个实用数表和一些实用的数值曲线。

     

    Abstract: Based on the classical shell theory, with the virtual work principle and the variational method, the displacement-type geometric nonlinear governing equations for functionally graded shallow circular spherical shells in uniform temperature field under uniform external pressure were derived. With the shooting method, the numerical results of the axisymmetric deformation of the shells in the clamped boundary condition were obtained. The effects of material volume fraction index, elasticity modulus of constituent materials and uniform temperature field on the equilibrium paths, the upper/lower critical loads and equilibrium configurations of the shells were investigated. The numerical results show that the upper/lower critical load of the shells decreases significantly with the increase of volume fraction index and the decrease of elasticity modulus of constituent materials. The rise of the uniform temperature brings obvious increase of the upper critical load and slight decrease of the lower critical load. A practical numerical table and some practical numerical curves are given for the convenience of designers to select geometry, material, load and temperature parameters.

     

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