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．

Further Study on Nonlinear Bending of Circular Sandwich Plates and Shallow Spherical Sandwich Shells

Taken power function as a trial function,nonlinear bending of circular sandwich plates and shallow spherical sandwich shells was discussed by means of point collocation. A sandwich plate or shell was assumed to be the more accurate model （Liu＇s model where the flexure rigidity of the face layers of shells was taken into account）. The deflection and internal forces of circular sandwich plates were computed. Upper and lower critical loads of spherical sandwich shells were obtained for the first time. Results were compared with those obtained by use of Reissner＇s model, not taking the flexure rigidity of the face layers of shells into account. Efficient parabolic method was put forward and applied to calculate the critical load.