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A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks
Aircraft Engineering and Aerospace Technology ( IF 1.5 ) Pub Date : 2021-06-07 , DOI: 10.1108/aeat-01-2021-0012
Royal Madan , Shubhankar Bhowmick

Purpose

The purpose of this study is to investigate Thermo-mechanical limit elastic speed analysis of functionally graded (FG) rotating disks with the temperature-dependent material properties. Three different material models i.e. power law, sigmoid law and exponential law, along with varying disk profiles, namely, uniform thickness, tapered and exponential disk was considered.

Design/methodology/approach

The methodology adopted was variational principle wherein the solution was obtained by Galerkin’s error minimization principle. The Young’s modulus, coefficient of thermal expansion and yield stress variation were considered temperature-dependent.

Findings

The study shows a substantial increase in limit speed as disk profiles change from uniform thickness to exponentially varying thickness. At any radius in a disk, the difference in von Mises stress and yield strength shows the remaining stress-bearing capacity of material at that location.

Practical implications

Rotating disks are irreplaceable components in machinery and are used widely from power transmission assemblies (for example, gas turbine disks in an aircraft) to energy storage devices. During operations, these structures are mainly subjected to a combination of mechanical and thermal loadings.

Originality/value

The findings of the present study illustrate the best material models and their grading index, desired for the fabrication of uniform, as well as varying FG disks. Finite element analysis has been performed to validate the present study and good agreement between both the methods is seen.



中文翻译:

温度相关旋转功能梯度环盘的热机械行为的数值解

目的

本研究的目的是研究具有温度相关材料特性的功能梯度 (FG) 旋转圆盘的热机械极限弹性速度分析。考虑了三种不同的材料模型,即幂律、sigmoid 定律和指数定律,以及不同的圆盘轮廓,即均匀厚度、锥形和指数圆盘。

设计/方法/方法

所采用的方法是变分原理,其中解是通过伽辽金误差最小化原理获得的。杨氏模量、热膨胀系数和屈服应力变化被认为与温度有关。

发现

研究表明,随着磁盘轮廓从均匀厚度变为指数变化厚度,极限速度显着增加。在圆盘的任何半径处,von Mises 应力和屈服强度的差异显示了该位置材料的剩余应力承载能力。

实际影响

转盘是机械中不可替代的部件,广泛用于从动力传输组件(例如飞机中的燃气轮机盘)到储能装置。在操作期间,这些结构主要承受机械载荷和热载荷的组合。

原创性/价值

本研究的结果说明了制造均匀和不同 FG 盘所需的最佳材料模型及其分级指数。已经进行了有限元分析以验证本研究,并且可以看出两种方法之间的良好一致性。

更新日期:2021-06-23
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