Attenuation of Plate Flexural Waves by a Layer of Dynamic Absorbers

Smith, Timothy L.; Rao, K Arjun; Dyer, Ira

doi:10.3397/1.2827662

Cited by 29 publications

(14 citation statements)

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“…In the present analysis, energy dissipation is modeled by a complex modulus formulation wherein the spring rate in Eq. (1) is replaced by the complex quantity, k1* =k1( 1 +jr), (2) where i, is the loss factor associated with the spring material. 2.1 Application of the distributed damper to a plate For a plate application, the discrete dampers in Eq.…”

Section: Distributed Tuned Mass Absorbersmentioning

confidence: 99%

<title>Passive damping in optical tables using highly distributed inertial dampers</title>

Zapfe¹

1997

Smart Structures and Materials 1997: Passive Damping and Isolation

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Optical tables are typically used in applications that require a very flat, rigid working surface. The grade ofthe optical table determines the amount of damping augmentation used to attenuate modal vibration. Discrete tuned mass dampers are a popular and effective damping method, however, their narrow effective bandwidth requires precise tuning to the table's resonant frequency. The present research deals with a damping method whereby a large number of small tuned dampers are distributed over the table's surface. In addition to the spatial distribution, the dampers are also distributed in frequency, providing energy dissipation over a wide frequency band. The wide effective bandwidth makes the distributed damping treatment extremely tolerant to variations in the table's dynamics. Test data is presented for a system of 349 dampers applied to a 243.8 cm x 121.9 cm x 20.3 cm optical table. The distributed damper attenuated both the first bending and the first torsion modes ofthe table, with a mass increase comparable to that realized with conventional discrete tuned dampers. The experimental results compared favorably to analytical predictions obtained using a full domain plate model.

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Section: Distributed Tuned Mass Absorbersmentioning

confidence: 99%

<title>Passive damping in optical tables using highly distributed inertial dampers</title>

Zapfe¹

1997

Smart Structures and Materials 1997: Passive Damping and Isolation

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“…Indeed, in certain situations implementation may not even be physically realizable. [10][11][12][13]15 It may be useful, nonetheless, to suspend the question of realization and examine the analytical implications involved in such an extension, employing a simple generic device. With the notable exception of Ref.…”

Section: Introductionmentioning

confidence: 98%

“…Means to extend the operational frequency band of these resonant devices are constantly sought. [3][4][5][6][7][8][9][10][11][12][13][14] An obvious extension is one in which a series of adjacent and appropriately tailored resonances are designed into the device with associated loss factors that obey the ''modal overlap'' condition. [5][6][7][8][9][10][11][12][13] Although such an extension is obvious, implementation is not always that straightforward.…”

Section: Introductionmentioning

confidence: 99%

A boundary that sustains a negligible specular reflection coefficient over a wide frequency band

Maidanik¹,

Dickey²

2000

The Journal of the Acoustical Society of America

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In a previous paper the authors analyzed and discussed the specular reflection coefficient of a plane boundary comprised of a plate, a compliant layer, and a fluid. The analysis showed that a negligible specular reflection coefficient may be derived provided specific resonance conditions are met. The resonance of concern is that between the surface mass of the plate and the surface stiffness of the compliant layer. The conditions of resonance included the value that must be assigned to the loss factor in the compliant layer. In the present paper, an attempt is made to determine the conditions that must be placed on the surface stiffness of the compliant layer in order to increase the frequency range over which a negligible specular reflection coefficient may be maintained. The tolerances in these conditions are also estimated.

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“…Several solutions have been utilized to mitigate these effects including layered or periodic structures [1,2], sacrificial structures made of foams or cellular solids [3], energy dissipation by means of strain amplification in bi-stable elements [4], damping layer treatment of structures [5], tuned vibration absorbers [6][7][8], and nonlinear energy sinks [9]. We investigate the suitability of negative effective mass structures (NMS) that are constructed by incorporating resonating endo-structures within a load bearing exo-structure to mitigate dynamic loads.…”

Section: Introductionmentioning

confidence: 99%