Nonlinear free vibration analysis of a plate-cavity system

Sadri, Mehran; Younesian, Davood

doi:10.1016/j.tws.2013.09.023

Cited by 39 publications

(17 citation statements)

References 24 publications

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“…In Equation 4, if η is set equal to zero, then the acoustic mode shape becomes that in the perfectly rigid case in Equation (2); if η is set equal to one, then the acoustic shape becomes that in the fully open case in Equation (3). The boundary conditions at z = c and 0 are given in Equations (5) and (6), respectively:…”

Section: Structural-acoustic Formulationmentioning

confidence: 99%

“…There are also numerous research works about nonlinear panel vibration, but the research investigations about nonlinear structural acoustics are still limited. Almost all of these adopted an assumption of perfectly rigid acoustic boundary (e.g., [5][6][7][8]). In practice, the boundaries of a panel-cavity system are usually imperfectly rigid.…”

Section: Introductionmentioning

confidence: 99%

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Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

Lee¹

2020

Mathematics

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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.

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Section: Structural-acoustic Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

Lee¹

2020

Mathematics

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“…A general modeling method was developed by Chen et al [14] to analyze the vibroacoustic of an arbitrarily restrained rectangular plate backed by a cavity with general wall impedance. Using harmonic balance approach, vibrational iteration and direct integration methods, free vibration of a rectangular plate-cavity system was analytically studied by Sadri and Younesian [15]. They used von Karman plate theory to model the flexible panel vibration.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of a circular plate–cavity system

Anvariyeh

Jalili

Fotuhi

2019

J Braz. Soc. Mech. Sci. Eng.

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Vibration of plate with air cavity has been one of the interesting research fields by many researchers. This topic has many applications in vehicles, airplanes, aircraft, fuselage panels and buildings. In this study, nonlinear vibroacoustic of circular plate with air cavity under harmonic excitation is investigated. The von Karman theory is used to obtain plate equation and solved together with the air pressure equation. First, the nonlinear equation of the plate is converted to ordinary differential equations by using the Galerkin method. Then the method of multiple scales is employed to solve the corresponding nonlinear equations. Frequency response for primary, subharmonic and superharmonic resonances is studied analytically. Using this method, a parametric study is carried out and the effects of different parameters on the frequency response of the plate are investigated. According to the results, jump phenomena are observed for primary and superharmonic resonance cases. Also, with an increase in damping coefficient, the amplitude of the steady-state response increases in the subharmonic resonance case.

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“…Moreover, so far, there are few research works about both nonlinear vibration and structural acoustics [11][12][13][14][15], although numerous studies about linear vibroacoustic (e.g., [16][17][18][19]) and nonlinear vibration (e.g., [20][21][22][23][24]) have been carried out. In [11,12], Lee et al did the research works about the sound radiation and absorption of a curved panel, which underwent nonlinear vibrations.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Phenomena and Nonlinear Responses in a Vibroacoustic System

Lee

2018

Complexity

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This study addresses the chaotic phenomena and nonlinear responses in a vibroacoustic system. It is the first study about the chaotic phenomena in a vibroacoustic system, which is formed by a flexible panel coupled with a cavity. A multimode formulation is developed from the acoustic governing equation and nonlinear structural governing equation. The chaotic and various nonlinear responses are computed from the multimode formulation using a numerical integration method. The results obtained from the proposed method and classical harmonic balance method are generally consistent. A set of modal convergence studies is performed to check the proposed method. The effects of various parameters on triggering the nonchaotic responses to chaotic responses in a vibroacoustic system are studied in detail.

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Nonlinear free vibration analysis of a plate-cavity system

Cited by 39 publications

References 24 publications

Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

Nonlinear vibration analysis of a circular plate–cavity system

Chaotic Phenomena and Nonlinear Responses in a Vibroacoustic System

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