The objective of this work is the derivation of an analysis methodology for composite circular plates undergoing radial bending. This class of plates features a circumferential variation of the stiffness properties because they are characterized by axisymmetric geometry and rectilinearly oriented reinforcing fibers. The load condition consists in a bending moment acting along the radial direction and the theoretical framework is defined according to first-order shear deformation theory. The problem is formulated with regard to the composite bolted joint theoretical reference model. In fact, this solution is a preliminary step for the definition a user-defined finite element for the analysis of this kind of joints. The definition of the constitutive equations for this class of plates is outlined. The solution approach is based on the principle of virtual displacements and the Ritz method, it required the derivation of specific approximation functions for the displacement field. Then, the problem solution is obtained through a system of algebraic equations. Numerical case studies are presented to show the capabilities of the proposed method; results are very good matching with FEA ones utilized as a reference.

这项工作的目的是推导经受径向弯曲的复合圆板的分析方法。这类板的特征是刚度特性在圆周方向上会发生变化，因为它们的特征是轴对称几何形状和直线定向的增强纤维。载荷条件包括沿径向作用的弯矩，并且根据一阶剪切变形理论定义了理论框架。该问题是针对复合螺栓连接理论参考模型制定的。实际上，此解决方案是定义用户定义的有限元以进行此类关节分析的预备步骤。概述了这类板的本构方程的定义。求解方法基于虚拟位移原理和Ritz方法，它需要导出位移场的特定近似函数。然后，通过代数方程组获得问题解决方案。数值案例研究表明了该方法的功能。结果与使用FEA作为参考的结果非常匹配。