Sound and vibration analysis of a nonlinear panel absorber mounted on an enclosure panel using the multi-level residue harmonic balance method
TL;DR: In this article, a multi-structural acoustic modal formulation is derived from two coupled partial differential equations representing the sound radiation from an enclosure panel subject to the acoustic pressure induced by a nonlinearly vibrating panel absorber.
About: This article is published in Applied Mathematical Modelling.The article was published on 2015-09-01 and is currently open access. It has received 3 citations till now. The article focuses on the topics: Dynamic Vibration Absorber & Soundproofing.
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TL;DR: In this article, the authors presented the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities using the improved energy balance method and the global residue harmonic balance method.
17 citations
TL;DR: In this paper, a nonlinear composite beam under the action of acoustic incident waves is analyzed in a coupled vibroacoustic system, where the multiple scale method combined with the Green's function approach is used.
Abstract: Dynamic behavior of a nonlinear composite beam under the action of acoustic incident waves is analyzed in this paper. Frequency responses are obtained in primary resonance condition. The coupled vibroacoustic system is solved by the multiple scale method combined with the Green’s function approach. Two types of geometrical nonlinearities including cubic and quadratic terms are focused. Semi-analytical solutions are obtained in integral forms. Within a parametric study, effects of the ply orientation and material damping on the frequency responses and scattered potential are investigated. It is found that unsymmetric layout induces negative quadric characteristic behavior and applies extra skewness to the frequency responses. It is also proved that the nonlinear composite beam can further dissipate the sound energy with respect to a linear system particularly when it is tuned for an optimal damping.
1 citations
02 Dec 2020
TL;DR: In this article, the free vibration analysis of a nonlinear structural-acoustic system with non-rigid boundaries is addressed, and the effect of cavity boundary on the resonant frequencies of the nonlinear system is examined.
Abstract: This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid. Therefore, this study examines the effect of cavity boundary on the resonant frequencies of the nonlinear system. It is the first work of employing the elliptic integral approach for solving this problem, which is involved with the nonlinear multi-mode governing equations of a large amplitude panel coupled with a cavity. The main advantage of this approach is that less nonlinear algebraic equations are generated in the solution steps. The present elliptic integral solution agrees reasonably well with the results obtained from a finite element harmonic balance method. The effects of other parameters such as vibration amplitude, cavity depth, aspect ratio, etc., are also investigated.
1 citations
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258 citations
TL;DR: In this article, an exact solution for the acoustic velocity potential in a closed box with one flexible wall is found for two distinct types of panel-cavity systems, and it is concluded that the effect of the cavity must be taken into account in the analysis of any functions dependent upon panel response, such as panel stress or noise transmission.
174 citations
TL;DR: In this paper, the acoustic absorption of a finite flexible micro-perforated panel backed by an air cavity is studied in detail, and the absorption model is developed based on the modal analysis solution of the classical plate equation coupled with the acoustic wave equation.
160 citations
TL;DR: In this article, a coupled methodology for the numerical solution of geometrically nonlinear static and dynamic problem of thin rectangular plates resting on elastic foundation is introduced, where the governing nonlinear partial differential equations of the plate are discretized in space and time domains using the discrete singular convolution (DSC) and harmonic differential quadrature (HDQ) methods, respectively.
152 citations
TL;DR: In this paper, the authors report on the acoustic properties of absorbing elements, which consist of metal membranes and show good sound absorption at low and medium frequencies over more than one octave.
65 citations