Acoustic radiation mode shapes for control of plates and shells

Johnson, William R.; Aslani, Pegah; Sommerfeldt, Scott D.; Blotter, Jonathan D.; Gee, Kent L.

doi:10.1121/1.4799718

Cited by 4 publications

(5 citation statements)

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“…e amplitude and phase of the optimal control force are calculated using equation (28). e radiated sound power of the submerged finite cylindrical shell before and after active control can be solved.…”

Section: Active Controlmentioning

confidence: 99%

“…ese modes were only determined by the shape and size of the vibrating structure, and they were unrelated to the physical properties and boundary conditions of the structure. e advantages of acoustic radiation modes have attracted significant attention for the analysis and control of structural acoustic radiation in recent years [25][26][27][28][29]. In our previous research [30], we discussed the contribution of the low-order vibration modes and acoustic radiation modes to the radial squared velocity and the radiated sound power in different fluids and found that compared in water, more vibration modes and acoustic radiation modes are required to calculate the sound power in air.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of Low‐Frequency Sound Radiation Characteristics and Active Control Mechanism of a Finite Cylindrical Shell

Ding

Gao

et al. 2021

Shock and Vibration

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In this paper, the radiation characteristics and active structural acoustic control of a submerged cylindrical shell at low frequencies are investigated. First, the coupled vibro-acoustic equations for a submerged finite cylindrical shell are solved by a modal decomposition method, and the radiation impedance is obtained by the fast Fourier transform. The modal shapes of the first ten acoustic radiation modes and the structure-dependent radiation modes are presented. The relationships between the vibration modes and the radiation modes as well as the contributions of the radiation modes to the radiated sound power are given at low frequencies. Finally, active structural acoustic control of a submerged finite cylindrical shell is investigated by considering the fluid-structure coupled interactions. The physical mechanism of the active control is discussed based on the relationship between the vibration and radiation modes. The results showed that, at low frequencies, only the first several radiation modes contributed to the sound power radiated from a submerged finite cylindrical shell excited by a radial point force. By determining the radiation modes that dominate the contribution to the radiated sound, the physical mechanism of the active control is explained, providing a potential tool to allow active control of the vibro-acoustic responses of submerged structures more effectively.

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Section: Active Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation of Low‐Frequency Sound Radiation Characteristics and Active Control Mechanism of a Finite Cylindrical Shell

Ding

Gao

et al. 2021

Shock and Vibration

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“…23,67–69 Also, the dominant contribution to sound power radiation from the panel at very low frequencies is known to be linked with the (strongly radiating) first radiation mode (characterized by a piston-type or monopole behaviour) which includes a combination of structural modes with nonzero volume velocities, commonly referred to in the literature as the ‘volumetric modes’. 36–39,68,70 A fairly effective method in active suppression of low-frequency acoustic radiation for prediction of the first radiation mode magnitude is to use uniformly spread piezoelectric sensor materials which essentially respond to the velocity distribution associated with such radiation pattern. 37,38,40 Therefore, a single-input single-output (SISO) volume velocity control system 38,40,71 employing an integrated piezoceramic sensor layer collocated with a constantly distributed volume velocity (uniform force) piezoelectric actuator layer (see Figure 1(b)) can be advantageously configured to effectively reduce the total volume velocity vibration of the panel at such low-excitation frequencies.…”

Section: Formulationmentioning

confidence: 99%

“…Wiciak 34,35 used numerical and experimental techniques to investigate active suppression of acoustic wave passage through a thin clamped circular plate baffled in one face of a water-filled rigid-walled aquarium, by using distributed surface-bonded square-shaped piezoelectric actuator elements. More recently, Johnson et al 36 studied acoustic radiation mode shapes of circular plates and used objective functions to target the most efficient radiation modes for reducing the radiated sound power.…”

Section: Introductionmentioning

confidence: 99%

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Robust active sound radiation control of a piezo-laminated composite circular plate of arbitrary thickness based on the exact 3D elasticity model

Hasheminejad

Keshavarzpour

2016

Journal of Low Frequency Noise, Vibration and Active Control

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A multi-objective mixed H 2 /H 1 robust output feedback control synthesis with regional pole placement constraints in a linear matrix inequalities framework is adopted for active low-frequency sound radiation control of an arbitrarily thick, rigidly baffled, simply supported, multi-layered piezo-composite circular panel. The adopted control system concurrently captures the benefits of both H 2 transient control performance and H 1 robust stability in the face of external disturbances and system uncertainties. Also, the implemented volumetric sensing/actuation configuration avoids the typical problems associated with conventional (spatially discrete) piezoelectric sensor/actuator patches, where the total volume velocity can be effectively cancelled with the main contribution being to the long wavelength acoustic power emission. The elasto-acoustic analysis is based on the spatial state-space method in the context of exact 3D elasticity theory along with the Rayleigh integral formula where Neumann's addition theorem is incorporated in the associated Hankel transform representation to arrive at a computationally efficient expression for the nonaxisymmetric pressure field within the acoustic half-space, valid in both near and far fields. Subspace system identification of the fully coupled structure-fluid interaction problem is performed, and the truncated modes are considered as multiplicative uncertainties in synthesis of the mixed-norm controller. Numerical simulations establish the ability of the implemented volumetric sensing/actuation methodology in cooperation with the multi-objective robust active control scheme for restraining low-frequency sound radiation from a Ba 2 NaNb 5 O 15 /steel/PZT4 circular piezo-laminated plate, without provoking instability of the closed-loop system. Also, superior bandwidth frequency and tracking performance in comparison to the H 2 and H 1 controllers are observed. This work is believed to be the first such attempt to exactly model (and actively control) the 3D nonaxisymmetric acousto-elastodynamic frequency response of an arbitrarily thick, smart piezo-laminated circular plate in heavy fluid loading condition (i.e. without using any kind of far-field, low-frequency, and/or light fluid coupling approximations), with straightforward extensibility for any arbitrary through-thickness variation of distributed material properties.

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About the Sound of Percussion Instruments

Bucur

2022

Handbook of Materials for Percussion Musical Instruments

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Acoustic radiation mode shapes for control of plates and shells

Cited by 4 publications

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Investigation of Low‐Frequency Sound Radiation Characteristics and Active Control Mechanism of a Finite Cylindrical Shell

Investigation of Low‐Frequency Sound Radiation Characteristics and Active Control Mechanism of a Finite Cylindrical Shell

Robust active sound radiation control of a piezo-laminated composite circular plate of arbitrary thickness based on the exact 3D elasticity model

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