样条子域法在旋转壳内时弹塑性分析中的应用

Application of Spline Subdomain Method to the Endochronic Elastoplastic Analysis of Revolutionary Shells

以非等距 B—三次样条为基函数,分别构造了子午向样条形函数和满足周期性条件的环向形函数,从而采取先沿子午向插值,后沿环向插值的方式得到旋转壳样条子域位移模式.同时利用内时理论建立了考虑横向剪切变形的壳体弹塑性本构方程。利用该方法进行壳体弹塑性应力分析,具有方程形式简单,收敛速度快,与实际模型较为接近,便于程序实现等特点.

In this paper,the unequidistant B—spline function is used to constructmeridional shape functions and circumferential shape functions which satisfythe periodic conditions,and the spline subdomain displacement mode is gotby interpolating firstly in the longitudinal direction and then in the circum-ferential direction for the shells of revolution.The elastoplastic constitutiveequation of shells that considers the transversal shear deformation is establishedusing the endochronic theory.The approach presented in this paper has theadvantages of simpler formulations,more rapid convergence,closer approachto practical model and being more convenient for programming compared withclassical methods.