Abstract

This work aims to study the of a functional gradation (FG) composite rotor shaft under the influence of temperature variation and the power law index, to find out how to choose the type of FG composition, depending on vibratory behavior. The modeling of the structure is done by the hierarchical polynomial (h-p) version of the finite element method. A theoretical study based on Timoshenko’s beam model is made for the establishment of the kinetic energy and the strain energy of the shaft. The distribution of material property of the functionally graded materials shaft change through the thickness and it is evaluated according to power-law distribution. The natural frequencies of the studied model are determined using a program developed in MATLAB. The results obtained from the shaft system in this article have been verified by comparing frequencies with the available literature previously published. Numerical examples are also given to illustrate the variation of frequencies under the influence of temperature, type of materials, and volume fraction index.

摘要

本工作旨在研究功能梯度（FG）复合转子轴在温度变化和幂律指数影响下的性能，找出如何根据振动行为选择 FG 组合物的类型。结构的建模是通过有限元方法的分层多项式 (hp) 版本完成的。基于Timoshenko梁模型对轴的动能和应变能的建立进行了理论研究。功能梯度材料轴的材料特性分布随厚度而变化，并根据幂律分布进行评估。研究模型的固有频率是使用在 MATLAB 中开发的程序确定的。通过将频率与先前发表的可用文献进行比较，验证了本文中从轴系统获得的结果。还给出了数值例子来说明频率在温度、材料类型和体积分数指数的影响下的变化。