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研究了刚性空腔内弹性圆柱形两端固支钢衬壳由于温度变化引起的屈曲问题。应用非线性理论导出衬壳热屈曲问题的大挠度控制方程，用渐进分析法将其线性化。假设满足边界条件和刚性空腔约束条件的屈曲模态，分别采用伽辽金（Ｇａｌｅｒｋｉｎ）法和配点法解出屈曲温度。计算了一个模型，两种方法得出的结果十分接近。给出衬壳的长度和厚度对屈曲温度的影响曲线。文中结果可应用于核反应堆安全壳和化学工业中厚壁高压反应塔中内衬壳设计。
The buckling problems caused by the temperature change of the elastic cylindrical shells with both ends fixed in a rigid cavity were studied. Applying the nonlinear theory to derive the large deflection governing equation of the thermal buckling problem of liner shell, it is linearized by the method of progressive analysis. Assuming that the buckling modes satisfy the boundary conditions and rigid cavity constraints, the buckling temperatures are solved by the Galerkin method and the collocation method respectively. A model has been calculated and the results of the two methods are very close. The effect of liner length and thickness on buckling temperature is given. The results in this paper can be applied to the design of the lining of the reactor in the nuclear reactor containment and the heavy-wall high-pressure reaction tower in the chemical industry.