Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates

J Kaplunov, B Erbaş, N Ege - International Journal of Engineering Science, 2022 - Elsevier
The 3D dynamic equations in elasticity for a thin transversely inhomogeneous plate are
subject to asymptotic analysis over the low-frequency range. The leading and first order …

Closed-form analytical solutions for free vibration of rectangular functionally graded thin plates in thermal environment

YF Xing, ZK Wang, TF Xu - International Journal of Applied …, 2018 - World Scientific
Based on classical small deflection plate theory, the governing equation of functionally
graded (FG) plates in thermal environment is derived by using Hamilton's principle. Closed …

Effect of Elastically Restrained Edges on Free Transverse Vibration of Functionally Graded Porous Rectangular Plate

Y Kumar - Mechanics of Advanced Composite Structures, 2022 - macs.semnan.ac.ir
In this paper, the author studied free transverse vibration of a thin isotropic simply-supported
functionally graded (FG) rectangular plate with porosity effect based on classical plate …

Forced vibrations of a FGM thin-walled cylinder under fluid loading

H Yücel - Zeitschrift für angewandte Mathematik und Physik, 2025 - Springer
Forced low-frequency vibrations of a functionally graded thin-walled cylindrical shell
submerged in a compressible fluid are investigated. The problem undergoes asymptotic …

Accurate solution for size-dependent free vibration analysis of functionally graded micro-plates with Levy boundary conditions

AY Saber, AR Saidi… - Proceedings of the …, 2022 - journals.sagepub.com
This paper has developed the Levy solution of a size-dependent model for free vibration
analysis functionally graded thin rectangular plate according to the theories of first-order …

7 Analytic approach for transient response of functionally graded rectangular plates including the higher-order shear deformation effects

TD Hien - degruyter.com
This chapter deals with the analytic solution for transient response of functionally graded
(FG) rectangular plates under transverse loadings. The governing equations account for …

[PDF][PDF] Asymptotic derivation of 2D dynamic equations for FGM plate bending

J Kaplunov, B Erbas, N Ege - keele-repository.worktribe.com
The 3D dynamic equations in elasticity for a thin transversely inhomogeneous plate are
subject to asymptotic analysis over the low-frequency range. The leading and first order …

[PDF][PDF] Mechanics of Advanced Composite Structures

M Kumara, S Kumar - 2022 - journals.semnan.ac.ir
Conventional leaf springs used in the automobile industry are usually produced from
highcarbon steel. But, it has some drawbacks such as susceptibility to corrosion, high …

[PDF][PDF] Pseudo-spectral method for mechanical buckling analysis of circular plates with variable thickness made of bimorph FGMs

H Khosravi, M Khosravi… - Journal of Numerical …, 2018 - researchgate.net
In this paper, the mechanical buckling behavior of circular plates with variable thicknesses
made of bimorph functionally graded materials (FGMs) under uniform mechanical loading …