NONLINEAR THEORY OF MULTILAYER SANDWICH SHELLS AND ITS APPLICATION(III)──LARGE DEFLECTION AND POSTBUCKLING OF SHALLOW SHELLS

In this paper, exact solutions of large deflection of multilayer sandwich shallow shellsunder transverse forces and different boundary conditions are presented. Exact results ofpostbuckling of multilayer sandwich plates, shallow cylindrical shells and nonlineardeflection of general shallow shells such as spherical shells under inplane edge forcesare also obtained by the same procedure.

夹层圆板和夹层扁球壳非线性弯曲的进一步研究

以幂函数为试函数,用配点法计算了夹层圆板和夹层扁球壳的非线性弯曲.夹层板壳采用较精确的刘人怀模型(考虑表板弯曲刚度),求得了夹层圆板的挠度、内力,首次求出了夹层扁球壳的上、下临界荷载.所得的结果同Reissner模型(不考虑表板弯曲刚度)的结果做了比较.提出并使用了效率较高的抛物线法计算临界荷载.

轴对称线荷载作用下夹层扁球壳的非线性弯曲

以三次B样条函数为试函数,计算了在轴对称线荷载作用下夹层扁球壳的非线性弯曲问题.夹层板壳采用Reissner模型.将固定夹紧夹层圆板的结果同摄动法解的结果进行了比较.本文的数值结果有很高的精度.

多夹层板壳的非线性理论及应用(Ⅲ)──扁壳的弯曲和稳定

本文根据文[1]获得的多夹层扁壳非线性基本方程，求解了各种载荷及边界条件下矩形底面多夹层扁壳的非线性弯曲问题，多夹层板、扁柱亮在轴向压力作用下的稳定问题，以及一般形状的扁壳在边界作用力下的变形．