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

Q2 Physics and Astronomy

Advances in Acoustics and Vibration Pub Date : 2014-09-21 DOI:10.1155/2014/401042

M. Zagrouba, M. S. Bouhdima, M. S. Bouhdima, M. Ghozlen

引用次数: 3

Abstract

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 does not affect the linear dependence of ZGV frequency as function of cut-off frequency ; only the slope is slightly varied.

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用幂级数技术研究功能梯度材料的线性和非线性曲线的S1-ZGV模态

本文研究了一阶对称零群速度(S1-ZGV)点附近的功能梯度材料(FGM)各向同性板。假设功能梯度材料(FGM)的力学性能随板厚连续变化，并服从组分体积分数的幂律。推导了该问题的控制方程，并采用幂级数法求解递推方程。研究了FGM基本材料性能对FGM板的S1-ZGV频率的影响。数值结果表明，S1-ZGV频率对剪切模量较为敏感。梯度系数不影响ZGV频率随截止频率的线性关系;只是斜率稍有变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Advances in Acoustics and Vibration ACOUSTICS-

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期刊介绍： The aim of Advances in Acoustics and Vibration is to act as a platform for dissemination of innovative and original research and development work in the area of acoustics and vibration. The target audience of the journal comprises both researchers and practitioners. Articles with innovative works of theoretical and/or experimental nature with research and/or application focus can be considered for publication in the journal. Articles submitted for publication in Advances in Acoustics and Vibration must neither have been published previously nor be under consideration elsewhere. Subject areas include (but are not limited to): Active, semi-active, passive and combined active-passive noise and vibration control Acoustic signal processing Aero-acoustics and aviation noise Architectural acoustics Audio acoustics, mechanisms of human hearing, musical acoustics Community and environmental acoustics and vibration Computational acoustics, numerical techniques Condition monitoring, health diagnostics, vibration testing, non-destructive testing Human response to sound and vibration, Occupational noise exposure and control Industrial, machinery, transportation noise and vibration Low, mid, and high frequency noise and vibration Materials for noise and vibration control Measurement and actuation techniques, sensors, actuators Modal analysis, statistical energy analysis, wavelet analysis, inverse methods Non-linear acoustics and vibration Sound and vibration sources, source localisation, sound propagation Underwater and ship acoustics Vibro-acoustics and shock.