A simple calculation method for the self- and mutual-radiation impedance of flexible rectangular patches in a rigid infinite baffle

The openings of an enclosure allow natural ventilation and light ingress but also act as a point of entry for noise of the whole structure. In this paper, the active control of the sound transmitted through a small opening in a wall formed by two infinitelylarge baffles is investigated up to 4000 Hz. Based on an analytical model developed with the modal expansion method, the effects of different secondary source and the error sensor strategies are compared numerically for different types of primary sound fields. The upper limit frequency of effective control is found to be determined by the eigen frequency of the acoustic modes of the opening. Experimental results with an opening of 6 cm by 6 cm on a 31.8 cm thick wall agree well with the numerical results.The upper limit frequency of effective control is found to be 2750 Hz for a singlechannel system and 3900 Hz for a 4-channel system with more than 10 dB noise reduction. It is concluded that implementing active control in small openings with appropriate secondary source and error sensing strategy can extend the frequency range of control significantly, so that the active control systems can be applied to more noise control scenarios which have both noise reduction and ventilation requirements in the middle to high frequency range.

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“…where r0 = (x0, y0, 0), r1 = (x1, y1, 0), and Zmn is the cross modal radiation impedance between modes m and n [21].…”

Section: The Primary Sound Fieldmentioning

confidence: 99%

Secondary source and error sensing strategies for the active control of sound transmission through a small opening

Cong-xin

Qin

Zou

et al. 2020

Journal of Sound and Vibration

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“…Majority of studies dealt with sound radiation of a single vibrating surface such as a piston, membrane, plate, or shell, where the fluid loading influences considerably responses of vibrating structures. Literature studies can be divided into three major groups dealing with sound radiation of a single surface source , a system of two or more surface sources [31][32][33][34][35][36][37][38][39][40][41], and systems of active control of noise and vibrations [42][43][44][45][46][47][48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Total Acoustic Power of Two Concentric Clamped Circular Plates Vibrating in a Fluid

Rdzanek

2015

Acta Phys. Pol. A

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This study focuses on the problem of sound radiation by two concentric clamped flat plates, circular and annular, into the half-space. The system of three coupled differential equations comprising two equations of motions of plates and the wave equation, is solved exactly. Vibrations of plates are axisymmetric and time-harmonic with a single excitation frequency. The initial phase difference of excitations can be nonzero. Attenuation due to fluid loading and material damping is included. Kirchoff-Love and Kelvin-Voigt theories are applied. The effect of initial phase difference of excitations on the acoustic power radiated is examined as well as errors resulting from neglecting the fluid loading.

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“…Shay. K comminuted the structure to the mesh unit firstly, and then calculated the unit radiation impedance using wave-number approximation and Fourier-transform methods, at last, get the total radiation impedance by summation [1]. So we must use a lot of meshes to ensure the calculation accuracy especially in the high frequency.…”

Section: Introductionmentioning

confidence: 99%

Study on the Influence Factors of Vibro-Acoustic Characteristics of Plate Structure Based on Series Approximation

Zhu

Dai

Gao

2014

AMR

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To grip control mechanism of plate structure radiation noise, a method to calculate radiation resistance was improved based on series approximation, by which the analytical solution of acoustic features were derived. And then the effects of the mutual-modal coupling were investigated in studying vibro-acoustic characteristics of a simply supported plate. Some conclusions have been given, such as the relationship between the radiated noise level and the space-time distributing, fundamental principles and measures of altering the space-time distributing, which supplied the academic and applied foundation for noise control.

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A simple calculation method for the self- and mutual-radiation impedance of flexible rectangular patches in a rigid infinite baffle

Cited by 21 publications

References 15 publications

Secondary source and error sensing strategies for the active control of sound transmission through a small opening

Secondary source and error sensing strategies for the active control of sound transmission through a small opening

Total Acoustic Power of Two Concentric Clamped Circular Plates Vibrating in a Fluid

Study on the Influence Factors of Vibro-Acoustic Characteristics of Plate Structure Based on Series Approximation

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