本文针对任意形状功能梯度材料壳体结构,从一般性壳体曲面理论出发,给出相应几何方程、平衡方程,在物理方程中引入沿壳体厚度的材料性能梯度分布,建立起膜弯耦联的功能梯度壳体的一般性基本方程与边界条件、初始条件,可作为各种功能梯度壳体力学分析的理论基础。
Based on the general theory of shell surface, the geometry equations and balance equations of arbitrary shape functionally graded material shells are established in this paper. Also, material character graded distribution along the shell thickness is imported in the physics equations, the general fundamental equations, boundary conditions and initial conditions with membrane-bending coupling of functionally graded material shells are established, which can be applied to analyze various functionally graded shells as a theoretical foundation.