Buckling of Functionally Graded Beams with Rectangular and Annular Sections Subjected to Axial Compression

Subject Areas : Mechanical Engineering

1 -

Received: 2012-03-10 Accepted : 2017-10-31 Published : 2011-12-01

Keywords:

Abstract :

The current study presents a new analytical method for buckling analysis of rectangular and annular beams made up of functionally graded materials with constant thickness and Poisson’s ratio. The boundary conditions of the beam are assumed to be simply supported and clamped. The stability equations were obtained by using conservation of energy. The critical buckling load and first mode shape were obtained using Variational Calculus method. Increasing in buckling capacity and improvement in the behavior of functionally graded beams in comparison to homogenous beams have been investigated. After simplifying results, Duffing differential equation for homogeneous beam without oscillations was obtained and validity of this new work was proved.

References:

Optimization The High Speed Machining of Hardened AISI 4140 Steel Using Vapor Deposited Cutting Tools (Wear and Roughness)
Print Date : 2018-06-01
Genetic Algorithm and ANN for Estimation of SPIV of Micro Beams
Print Date : 2017-12-17
Estimation of Surface Roughness in Turning by Considering the Cutting Tool Vibration, Cutting Force and Tool Wear
Print Date : 2017-12-17
An Experimental Investigation on Comparison of the Similar and Dissimilar Resistance Spot Welding of St12 and Galvanized Steel using Design of Experiments
Print Date : 2018-06-01
Experimental Study on Magnetic Abrasive Honing of Inner Surface of Tube AISI304
Print Date : 2018-06-01
Corrosion Behavior Characterization of the Nugget Zone in Copper/Brass Metals of Dissimilar Friction Stir Welded Lap Joints
Print Date : 2018-03-01

Share To

Article Url

Buckling of Functionally Graded Beams with Rectangular and Annular Sections Subjected to Axial Compression