Sound Radiation from a Surface Source Located at the Bottom of the Wedge Region

Szemela, Krzysztof

doi:10.1515/aoa-2015-0025

Cited by 4 publications

(3 citation statements)

References 16 publications

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“…On the other hand, in mathematical physics the Hankel transform is very useful in dealing with many linear partial differential equations with appropriate initial-boundaryvalue problems which have obvious physical background, such as the axisymmetric diffusion equation, [16] the vibration of a large plate, [17] axisymmetric Cauchy-Poisson water wave equation, [18] and acoustic radiation equation. [19] The Hankel transform of a function f (r) is defined as [20] ℋ…”

Section: Introductionmentioning

confidence: 99%

Fractional squeezing-Hankel transform based on the induced entangled state representations

Lv¹,

Zhang²,

Xu³

2018

Chinese Phys. B

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Based on the fact that the quantum mechanical version of Hankel transform kernel (the Bessel function) is just the transform between |q, r⟩ and (s, r ′ |, two induced entangled state representations are given, and working with them we derive fractional squeezing-Hankel transform (FrSHT) caused by the operator e −iα(a † 1 a † 2 +a 1 a 2 ) e −iπa † 2 a 2 , which is an entangled fractional squeezing transform operator. The additive rule of the FrSHT can be explicitly proved.

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Section: Introductionmentioning

confidence: 99%

Fractional squeezing-Hankel transform based on the induced entangled state representations

Lv¹,

Zhang²,

Xu³

2018

Chinese Phys. B

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“…The sound radiation by various structures and its reduction have been widely studied in the literature and is still of scientific interest (Hasheminejad, Rabbani, 2015;Szemela, 2015;Zawieska et al, 2007). In many cases the sound propagates from the device to the casing structurally.…”

Section: Introductionmentioning

confidence: 99%

Internal Model Control for a Light-Weight Active Noise-Reducing Casing

Mazur¹,

Pawełczyk²

2016

Archives of Acoustics

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The active noise-reducing casing developed and promoted by the authors in recent publications have multiple advantages over other active noise control methods. When compared to classical solutions, it allows for obtaining global reduction of noise generated by a device enclosed in the casing. Moreover, the system does not require loudspeakers, and much smaller actuators attached to the casing walls are used instead. In turn, when compared to passive casings, the walls can be made thinner, lighter and with much better thermal transfer than sound-absorbing materials. For active noise control a feedforward structure is usually used. However, it requires an in-advance reference signal, which can be difficult to be acquired for some applications. Fortunately, usually the dominant noise components are due to rotational operations of the enclosed device parts, and thus they are tonal and multitonal. Therefore, it can be adequately predicted and the Internal Model Control structure can be used to benefit from algorithms well developed for feedforward systems. The authors have already tested that approach for a rigid casing, where interaction of the walls was significantly reduced. In this paper the idea is further explored and applied for a light-weight casing, more frequently met in practice, where each vibrating wall of the casing influences all the other walls. The system is verified in laboratory experiments.

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“…However, the most important difference lies in their applicability: the frequency domain methods, such as FEM and BEM, typically provide results for steadystate situations, whereas the time domain models, such as FDTD, make it possible to predict impulse responses of enclosures (Sakamoto et al, 2008). Wavebased methods can also be successfully applied to partially bounded spaces (Szemela, 2015).…”

Section: Introductionmentioning

confidence: 99%

Prediction of Reverberant Properties of Enclosures via a Method Employing a Modal Representation of the Room Impulse Response

Meissner

2016

Archives of Acoustics

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A theoretical method has been presented to describe sound decay in enclosures and simulate the room impulse response (RIR) employed for prediction of the indoor reverberation characteristics. The method was based on a solution of wave equation with the form of a series whose time-decaying components represent responses of acoustic modes to an impulse sound source. For small sound absorption on room walls this solution was found by means of the method of variation of parameters. A decay function was computed via the time-reverse integration of the squared RIR. Computer simulations carried out for a rectangular enclosure have proved that the RIR function reproduces the structure of a sound field in the initial stage of sound decay sufficiently well. They have also shown that band-limitedness of the RIR has evident influence on the shape of the decay function and predicted decay times.

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Sound Radiation from a Surface Source Located at the Bottom of the Wedge Region

Cited by 4 publications

References 16 publications

Fractional squeezing-Hankel transform based on the induced entangled state representations

Fractional squeezing-Hankel transform based on the induced entangled state representations

Internal Model Control for a Light-Weight Active Noise-Reducing Casing

Prediction of Reverberant Properties of Enclosures via a Method Employing a Modal Representation of the Room Impulse Response

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