Analytic Approach to Free Vibration and Buckling Analysis of Functionally Graded Beams with Edge Cracks Using Four Engineering Beam Theories

سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 929

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شناسه ملی سند علمی:

JR_IJE-27-6_017

تاریخ نمایه سازی: 17 خرداد 1393

چکیده مقاله:

A complete investigation on the free vibration and stability analysis of beams made of functionally graded materials (FGMs) containing open edge cracks utilizing four beam theories, Euler-Bernoulli, Rayleigh,shear and Timoshenko, is performed here. It is assumed that the material properties vary along the beamthickness exponentially and the cracked beam is modeled as two segments connected by two mass-less springs, extensional and rotational spring. Afterward the equations of motion for the free vibrations and buckling analysis are established and solved analytically for clamped-free boundary conditions. A detailedparametric study is also performed to examine the influences of the location and depth of the crack, material properties and slenderness ratio of the beam on the free vibration and buckling characteristics of cracked FGM beams for each of the four engineering beam theories

نویسندگان

k Sherafatnia

School of Mechanical Engineering, Sharif University of Technology,Tehran, Iran

g.h farrahi

School of Mechanical Engineering, Sharif University of Technology,Tehran, Iran

s.a Faghidian

Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran