变厚度开顶扁球壳大挠度理论的改进多重尺度法

Modified Method of Multiple Scales for Theorem of Large Deflection of Truncated Shallow Spherical Shell of Variable Thickness

综合利用近代分析和多重尺度法 ,讨论了大几何参数的变厚度的开顶扁球壳 ,在内边缘集中线布载荷、外边缘均布力矩作用下的非线性屈曲问题 ;求得了扁薄壳几何参数k值较大时这一问题的一致有效的渐近解 ;

Using the modern analytics and the modified method of multiple scales,the nonlinear bending of a truncated shallow spherical shell of variable thickness with a large geometrical under linear distributed loads along the interior edge and uniform moment along the external edge is investigated in this paper.When the geometrical parameter of the cap is larger,the uniformly valid asymptotic solutions of this problem are obtained,and the effect of the boundary layer with a concentrated excitation is analysed.