Free Vibration Analysis of ۲D Functionally Graded Strip Beam using Finite ‎Element Method‎

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JACM-8-4_025

تاریخ نمایه سازی: 15 تیر 1401

Abstract:

This article aims to investigate the free vibration of axial and bi-directional functionally graded (۲D-FG) two-dimensional plane stress strip by using finite element method. The rule of mixture based on Vogit model is proposed to describe the change in the volume fractions of metal and ceramics constituents. The materials are graded continuously and smoothly in both axial and thickness directions according to the power law formula. Two-dimensional plane stress constitutive equations are proposed to describe the stress and strain across the beam domain. Finite element model using ANSYS software is developed to discretize the spatial domain of strip and modal solution is exploited to evaluate the eigenvalues (natural frequencies) and mode shapes of ۲D FG strip beam. The effects of materials gradation in axial and bi-directional and boundary conditions on the natural frequencies are investigated. The proposed model can be used in design and analysis of ۲D-FG structures manufactured from two different constituents and selecting the optimum gradation parameter based on the natural frequency’s constraints, such as naval, nuclear and aerospace structures. 

Authors

Meshal A. Al-Zahrani

Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

Saeed A. Asiri

Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

Khaled I. Ahmed

Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

Mohamed A. Eltaher

Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

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