Abstract

One of the most important engineers’ considerations is their concern about structural stability. This article copes with buckling and post-buckling examinations of rotating clamped-clamped functionally graded beams due to interaction between thermal environment and rotation. The considered beam is subjected to a uniform temperature rising at the same time with its rotation at constant speed. The temperature dependency of material properties is considered. The Euler-Bernoulli beam assumption beside the von-Kármán strain-displacement relation is regarded to derive the governing equations. The nonlinear finite element method is applied to the equations of motion to extract pre-stressed deformation, critical buckling temperature change, and post-buckling response. The rotor radius, the beam length to the thickness ratio, the rotation speed, and the power law index impacts on the outcomes are illustrated.

摘要

工程师最重要的考虑之一是他们对结构稳定性的关注。本文处理由于热环境和旋转之间的相互作用而导致的旋转夹紧-夹紧功能梯度梁的屈曲和屈曲后检查。所考虑的光束在以恒定速度旋转的同时受到均匀的温度升高。考虑了材料特性的温度依赖性。在 von-Kármán 应变-位移关系旁边的 Euler-Bernoulli 梁假设被认为是推导控制方程。将非线性有限元方法应用于运动方程，以提取预应力变形、临界屈曲温度变化和屈曲后响应。转子半径、梁长与厚度比、转速、