多重尺度法应用于变厚度开顶扁球壳在复合载荷下的非线性稳定问题

The Method of Multiple Scales Applied to the Nonlinear Stability Problem of a Truncated Shallow Spherical Shell of Variable Thickness With the Large Geometrical Parameter

利用改进多重尺度法研究了大几何参数的变厚度的具有刚性中心的开顶扁球壳 ,在复合载荷作用下的非线性稳定问题· 求得了扁壳几何参数 k值 较大时 ,本问题的一致有效的渐近解 ,并进行了余项误差估计·

Using the modified method of multiple scales, the nonlinear stability of a truncated shallow spherical shell of variable thickness with a nondeformable rigid body at the center under compound loads is investigated. When the geometrical parameter k is larger, the uniformly valid asymptotic solutions of this problem are obtained and the remainder terms are estimated.