Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core

Chen, Da, Kitipornchai, Sritawat and Yang, Jie (2016) Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core. Thin-Walled Structures, 107 39-48. doi:10.1016/j.tws.2016.05.025

Author Chen, Da
Kitipornchai, Sritawat
Yang, Jie
Title Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core
Journal name Thin-Walled Structures   Check publisher's open access policy
ISSN 0263-8231
Publication date 2016-10-01
Sub-type Article (original research)
DOI 10.1016/j.tws.2016.05.025
Open Access Status Not yet assessed
Volume 107
Start page 39
End page 48
Total pages 10
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Language eng
Subject 2205 Civil and Structural Engineering
2215 Building and Construction
2210 Mechanical Engineering
Abstract The nonlinear free vibration behavior of shear deformable sandwich porous beam is investigated in this paper within the context of Timoshenko beam theory. The proposed beam is composed of two face layers and a functionally graded porous core which contains internal pores following different porosity distributions. Two non-uniform functionally graded distributions are considered in this paper based on the equivalent beam mass, associated with a uniform distribution for purpose of comparison. The elastic moduli and mass density are assumed to vary along the thickness direction in terms of the coefficients of porosity and mass density, whose relationship is determined by employing the typical mechanical characteristic of an open-cell metal foam. The Ritz method and von Kármán type nonlinear strain-displacement relationships are applied to derive the equation system, which governs the nonlinear vibration behavior of sandwich porous beams under hinged or clamped end supports. A direct iterative algorithm is then used to solve the governing equation system to predict the linear and nonlinear frequencies which are presented by a detailed numerical study to discuss the effects of porosity coefficient, slenderness ratio, thickness ratio and to compare the varying porosity distributions and boundary conditions, providing a feasible way to improve the vibration behavior of sandwich porous beams.
Keyword Functionally graded porous core
Nonlinear free vibration
Ritz method
Sandwich beam
Timoshenko beam theory
Q-Index Code C1
Q-Index Status Provisional Code
Grant ID DP130104358
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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