Abstract

An analytical approach is constructed to examine the limit stresses of multilayered fiber reinforced disk. Three different layer configurations are considered, which are decreasing, constant and increasing reinforcement from the inner to the outer radius of the disk. The multilayered disk is subjected to two boundary conditions, free-free and fixed-free. Stress fields are then obtained accordingly. In order to predict the limit stresses, Tsai–Wu criterion is implemented. Effects of different reinforcement configurations and various transverse Young's modulus estimations on the stresses are rigorously analyzed in the numerical examples. It has been mathematically observed that the disk with increasing reinforcement fails at higher angular velocities than other reinforcement types, and the selected Young's modulus affects the stresses in small to moderate scale.

摘要

构建了一种分析方法来检查多层纤维增强盘的极限应力。考虑了三种不同的层配置，从盘的内半径到外半径，它们是递减的、恒定的和递增的。多层盘受到两种边界条件的影响：自由-自由和固定-自由。然后相应地获得应力场。为了预测极限应力，采用了 Tsai-Wu 准则。数值示例中严格分析了不同钢筋配置和各种横向杨氏模量估计对应力的影响。从数学上观察到，与其他增强类型相比，增强增强的圆盘在更高的角速度下会失效，