Power operator dimensional reduction to obtain the useful intensity in rectangular plates with several boundary conditions

Ferreira, Vera Lúcia Duarte; Tenenbaum, Roberto A.; Dias, Fernando Luis; Corrêa, C.A.

doi:10.1016/j.jsv.2019.02.018

Cited by 1 publication

(2 citation statements)

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“…This equation is exactly the same as Eq. (11). The NNI formulae can be obtained by substituting Eqs.…”

Section: Non-negative Intensitymentioning

confidence: 99%

“…The technique does not require the construction of a hologram to evaluate the acoustic pressure from the known normal velocity field on the vibrating surface. Both the analytical SSI and the numerical useful intensity methods were used by Ferreira et al [11] to examine the sound radiated from rectangular baffled panels. Eight different combinations of classical boundary conditions were considered.…”

Section: Introductionmentioning

confidence: 99%

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Non-negative intensity for planar structures under stochastic excitation

Karimi

Maxit

Meyer

et al. 2020

Journal of Sound and Vibration

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Identification of regions on a vibrating structure which radiate energy to the far field is critical in many areas of engineering. Non-negative intensity is a means to visualize contributions of local surface regions to sound power from vibrating structures. Whilst the non-negative intensity has been used for structures under deterministic excitation due to structural forces or harmonic incident acoustic pressure excitation, it has not been considered for analyzing a structure under stochastic excitation. This work analytically formulates non-negative intensity in the wavenumber domain to investigate the surface areas on a vibrating planar structure that are contributing to the radiated sound power in the far field. The non-negative intensity is derived in terms of the cross spectrum density function of the stochastic field and the sensitivity functions of either the acoustic pressure or normal fluid particle velocity. The proposed formulation can be used for both infinite planar structure and finite plate in an infinite baffle. To demonstrate the technique, a simply supported baffled panel excited by a turbulent boundary layer as well as an acoustic diffuse field is considered and those regions contributing to the radiated sound power are identified. It is demonstrated that the nonnegative intensity distribution is dependent on the stochastic excitation. It is also found that for a panel under stochastic excitation the more the nonnegative intensity distribution is concentrated within the panel surface, the

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“…This equation is exactly the same as Eq. (11). The NNI formulae can be obtained by substituting Eqs.…”

Section: Non-negative Intensitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%