点铆固钢衬壳的热后屈曲线性分析

Nonlinear analyses of thermal postbuckling problems of liner shells

基于用应力函数Ｆ和挠度函数Ｗ表示的钢衬壳后屈曲非线性控制方程，假设位移函数Ｗ的屈曲模态，用Ｇａｌｅｒｋｉｎ方法导出带有参数Ｔ的非线性方程组，采用伪弧长法追踪钢衬壳的后屈曲平衡路径。具体计算了四点铆固钢衬壳模型在完善和有初始缺陷情形下的后屈曲性态。结果表明：钢衬壳具有屈曲跳跃性和后屈曲稳定性的性态；极值屈曲临界载荷对钢衬壳的初始缺陷是敏感的，并给出了敏感度。给出了铆钉布局对屈曲临界载荷的影响。研究结果对实际工程中安全壳的设计有参考价值。

? Based on the nonlinear governing equations of liner shells expressed with stress function F and transverse displacement W , under an assumed W buckling mode, Galerkin method was used to obtain the nonlinear algebraic equations with parameter governing the liner postbuckling equilibrium paths, and hypo arc length method was used to solve the nonlinear equations. A four point stud supported liner shell mode was clarified. Results show that the postbuckling behavior of liner shells is both buckling snap through and postbuckling stable; the buckling critical temperature is sensitive to initial imperfection. These results are helpful to the reactor containment design. 