S1-ZGV Modes of a Linear and Nonlinear Profile for Functionally Graded Material Using Power Series Technique | Zendy

Mouldi Zagrouba | Zendy; Mohamed Shili Bouhdima | Zendy; Mohamed Hédi Ben Ghozlen | Zendy

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S₁-ZGV Modes of a Linear and Nonlinear Profile for Functionally Graded Material Using Power Series Technique

Author(s) -

Mouldi Zagrouba,

Mohamed Shili Bouhdima,

Mohamed Hédi Ben Ghozlen

Publication year - 2014

Publication title -

advances in acoustics and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.237

H-Index - 14

eISSN - 1687-627X

pISSN - 1687-6261

DOI - 10.1155/2014/401042

Subject(s) - algorithm , materials science , computer science

The present work deals with functionally graded materials (FGM) isotropic plates in the neighborhood of the first-order symmetric zero group velocity (S1-ZGV) point. The mechanical properties of functionally graded material (FGM) are assumed to vary continuously through the thickness of the plate and obey a power law of the volume fraction of the constituents. Governing equations for the problem are derived, and the power series technique (PST) is employed to solve the recursive equations. The impact of the FGM basic materials properties on S1-ZGV frequency of FGM plate is investigated. Numerical results show that S1-ZGV frequency is comparatively more sensitive to the shear modulus. The gradient coefficient p does not affect the linear dependence of ZGV frequency fo as function of cut-off frequency fc; only the slope is slightly varied

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