Abstract

This paper presents a method for decreasing sound radiation from vibrating plates. The method uses Functionally Graded Materials (FGM) for building the plates instead of isotropic material. The graded pattern of material composition is characterized within the in-plane directions based on a two-dimensional trigonometric law. In the proposed method, the finite element method (FEM) is utilized for estimating the dynamic response of the plates. Then, the Lumped Parameter Model (LPM) is used for calculating sound radiation power. A genetic algorithm is applied as an optimization tool for determining the best distribution of the FGM. The efficacy of the proposed method is demonstrated by three design problems; minimizing the radiated sound from vibrating FGM plate at a particular excitation frequency, over a frequency band, and at a particular natural frequency. The design problems show that a considerable decrease of sound power can be accomplished with the optimal design of FGM plates in comparison with the isotropic plates.

Highlights

  • In modern structural and machine design, noise reduction from vibrating element is one of the common challenges of engineers

  • The numerical results demonstrate the efficiency of using Functionally Graded Materials (FGM) for minimizing sound radiation

  • The FGM properties vary through the in-plane directions

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Summary

Introduction

In modern structural and machine design, noise reduction from vibrating element is one of the common challenges of engineers. Some of the most important sound radiation elements include vibrating plate structures. Material tailoring to realize a reduction in sound radiation, at a single frequency, was studied first by Naghshineh and Koopmann [20]. They enforce the structure to vibrate as a weak radiator at a specific frequency. A distinguishing feature of this paper is that, material tailoring is implemented using FGM for minimizing the sound radiation from vibrating plates

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