薄球壳在均布外压与温度耦合作用下的热屈曲研究

从张量方法推导出的轴对称薄球壳屈曲方程出发，推导出在均布外压与温度耦合作用下用位移表示的薄球壳热屈曲方程；应用虚功原理建立薄球壳屈曲最小势能泛函；进一步用Ritz(里兹)法分析了周边简支的半球壳的3种热屈曲问题.得到了: 1) 温度不超过屈曲临界温度值时，均布外压的临界载荷；2) 均布外压载荷为0时，屈曲临界温度值；3) 均布外压载荷不超过临界载荷时，屈曲临界温度值.

Thermal Buckling of Thin Spherical Shells Under Interaction of Uniform External Pressure and Uniform Temperature

The thermal buckling equation for thin spherical shells was deduced on the basis of axisymmetric thin spherical shell buckling equation derived with the tensor method. The thermal buckling equation involving the coupling of uniform external pressure and temperature was expressed in terms of displacement. The thin spherical shell buckling of minimum potential energy functional was also established according to the virtual work principle. 3 thermal buckling problems for simply supported hemispherical shells were analyzed with the Ritz method. The following 3 conclusions are drawn: 1) The critical value of uniform external pressure on condition that the temperature does not exceed the critical buckling level. 2) The buckling critical temperature value on condition that the uniform external pressure is 0. 3) The buckling critical temperature value on condition that the uniform external pressure does not exceed the critical level.