扁球壳在均布压力与均匀温度场联合作用下的屈曲

根据扁壳几何非线性理论，推导了均布压力与均匀温度场联合作用下的扁球壳的位移型几何非线性控制方程.考虑夹紧边界条件，采用打靶法得到了扁球壳轴对称弯曲与屈曲的数值结果.讨论了壳体几何参数对平衡路径、临界荷载的影响.给出了壳体临界几何参数.当几何参数大于临界几何参数时，上、下临界荷载都随几何参数增加而增加.给定几何参数时，考察了不同均匀温度场对壳体上、下临界荷载、临界几何参数以及平衡构型的影响.均匀升温会使上临界荷载显著增加，会使下临界荷载略有减小.均匀变温会使临界几何参数改变.

Buckling of Shallow Spherical Shells Under Uniform Pressure in Uniform Temperature Field

According to the geometrical nonlinear theory for shallow shells, the displacement type geometrical nonlinear governing equations for shallow spherical shells under uniform pressure in uniform temperature field were derived. With the shooting method, the numerical results of axisymmetric bending and buckling of the shallow spherical shell in the clamped boundary condition were obtained. The effects of various shell geometrical parameters on the equilibrium paths and the critical loads were discussed. The critical shell geometrical parameter was defined. And it is found that both the upper and lower critical loads increase with the geometrical parameter in the range beyond its critical value. The effects of different values of the uniform temperature field on the upper and lower critical loads, the critical geometrical parameter, and the equilibrium configurations were investigated under a given geometrical parameter. Rise of the uniform temperature brings obvious increase of the upper critical load and slight decrease of the lower critical load. Moreover, change of the uniform temperature influences the critical shell geometrical parameter a lot.