Free and forced vibrations of shear deformable functionally graded porous beams

Chen, D, Yang, J and Kitipornchai, S 2016, 'Free and forced vibrations of shear deformable functionally graded porous beams', International Journal of Mechanical Sciences, vol. 108109, pp. 14-22.


Document type: Journal Article
Collection: Journal Articles

Title Free and forced vibrations of shear deformable functionally graded porous beams
Author(s) Chen, D
Yang, J
Kitipornchai, S
Year 2016
Journal name International Journal of Mechanical Sciences
Volume number 108109
Start page 14
End page 22
Total pages 9
Publisher Elsevier
Abstract This paper investigates the free and forced vibration characteristics of functionally graded (FG) porous beams with non-uniform porosity distribution whose elastic moduli and mass density are nonlinearly graded along the thickness direction. Both symmetric and asymmetric porosity distributions are considered. The relationship between coefficients of porosity and mass density is determined based on the typical mechanical property of an open-cell metal foam. Within the framework of Timoshenko beam theory to include the effect of transverse shear strain and by employing Lagrange equation method together with Ritz trial functions, the equation of motion is derived then solved by using Newmark-β method in the time domain. Natural frequencies and transient dynamic deflections are obtained for porous beams under different loading conditions, including a harmonic point load, an impulsive point load and a moving load with constant velocity. A detailed numerical study is conducted to examine the effects of varying porosity distribution, porosity coefficient, slenderness ratio and boundary condition, shedding important insights into the design of functionally graded porous beams to achieve improved dynamic behavior.
Subject Civil Engineering not elsewhere classified
Keyword(s) Forced vibration
Free vibration
Functionally graded porous beam
Lagrange equation method
Ritz method
Timoshenko beam theory
DOI - identifier 10.1016/j.ijmecsci.2016.01.025
Copyright notice © 2016 Elsevier Ltd. All rights reserved.
ISSN 0020-7403
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