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研究了由金属和陶瓷组成的功能梯度材料薄球壳热屈曲问题。用张量方法推导得到轴对称球壳稳定性方程。将热本构方程应用到球壳稳定性方程中,得到以位移表示的球壳热屈曲方程组。分别考虑均布外压和温度作用,采用伽辽金法计算分析简支球壳的热屈曲问题,给出薄球壳厚度、物性参数变化、内外表面温差变化引起的临界温度变化趋势和临界压力变化趋势。
The thermal buckling problem of thin spherical shell with functionally graded material composed of metal and ceramic was investigated. The tensor method is used to derive the stability equation of axisymmetric spherical shell. The thermal constitutive equation is applied to the spherical shell stability equation to obtain the spherical shell thermal buckling equations expressed in terms of displacements. Considering the effect of uniform external pressure and temperature respectively, the thermal buckling problem of simply supported spherical shell is analyzed by Galerkin method. The variation of the critical temperature and the critical pressure caused by the variation of thickness and physical parameters, Trend.