Nonlinear free and forced vibrations of anti-symmetric angle-ply hybrid laminated rectangular plates

Shooshtari, Alireza; Razavi, Soheil

doi:10.1177/0021998313482156

Cited by 9 publications

(2 citation statements)

References 42 publications

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“…In addition to these linear vibration analyses, it is seen that the nonlinear free and forced vibration behavior of these structures are also examined. These equations can be solved by the use of a numerical procedure such as the Galerkin method or multiple time scale methods (Shooshtari and Razavi, 2010, 2014). Furthermore, the vibration characteristics of FML structures, Young's modulus and damping ratio should also be determined.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Maraş

Yaman

2022

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PurposeThis study aims to demonstrate the numerical application of differential quadrature (DQ) methods and show the experimental application of free vibration analysis of fiber-metal laminated composite (FML) plates with various boundary conditions.Design/methodology/approachThe FMLs are hybrid structures consisting of fiber-reinforced polymer matrix composites such as carbon, glass, aramid and different metal sheets, and are currently widely used in the automobile, aircraft and aerospace industries. Thus, free vibration analysis of these hybrid materials is necessary for the design process. The governing equations of motion are derived based on the classical plate theory. The DQ, generalized DQ (GDQ) and harmonic DQ (HDQ) differential quadrature methods have been used to solve the governing equations of an FML composite plate numerically. The accuracy and convergence of the numerical model have been verified by comparing the results available in the published literature with the results obtained from these methods. Moreover, an experimental procedure has been performed in order to compare the results against those of the numerical methods.FindingsIt is noteworthy that a high degree of similarity and accuracy was observed between the numerical results obtained by the DQ methods and the experimental results. Thus, the present study validates the applicability of the DQ methods for designing the FML composite plates.Originality/valueIn this study, the advantages of the DQ methods have been demonstrated differently from previous studies on the vibration analysis of the FML plates.

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Maraş

Yaman

2022

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“…Although there are many studies about nonlinear response of composite structures (Asadi et al, 2015;Du et al, 2014;Ma et al, 2015;Mitra et al, 2013;Shooshtari and Razavi, 2014b;Zhang and Zhao, 2012), there is not any study dealing with the forced vibration of shear deformable MEE plates. This article intends to discuss this subject.…”

Section: Introductionmentioning

confidence: 99%

Vibration of a multiphase magneto-electro-elastic simply supported rectangular plate subjected to harmonic forces

Shooshtari

Razavi

2016

Journal of Intelligent Material Systems and Structures

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Nonlinear forced vibration of a magneto-electro-elastic rectangular plate is studied based on the first-order shear deformation theory. The excitation force is harmonic, the boundary condition is considered to be immovable simply supported, and the plate rests on a viscoelastic foundation. The electric and magnetic fields are assumed to be applied along the thickness direction, and different magneto-electric boundary conditions are considered. Magneto-electric behavior of the plate is modeled using Gauss’ laws for electrostatics and magnetostatics. The system is discretized using Galerkin method and then multiple time scale method is used to solve the obtained equation analytically. As a result, closed-form solutions are obtained for the frequency responses of the plate in the primary and subharmonic resonances. Time history and phase portraits of the plate are also obtained numerically. Some examples are carried out to validate the proposed model and to investigate the effects of electric and magnetic potentials, material properties, and plate size on the frequency responses of these smart multiphase plates.

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Analytical modeling for nonlinear vibration analysis of partially cracked thin magneto-electro-elastic plate coupled with fluid

Soni

Jain

Joshi³

2017

Nonlinear Dyn

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Nonlinear free and forced vibrations of anti-symmetric angle-ply hybrid laminated rectangular plates

Cited by 9 publications

References 42 publications

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Vibration of a multiphase magneto-electro-elastic simply supported rectangular plate subjected to harmonic forces

Analytical modeling for nonlinear vibration analysis of partially cracked thin magneto-electro-elastic plate coupled with fluid

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