Elastothermodynamic damping in laminated composites

Bishop, Joseph E.; Kinra, Vikram K.

doi:10.1016/s0020-7683(96)00085-6

Cited by 70 publications

(44 citation statements)

References 28 publications

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“…More recently, Zener's analysis of homogenous, isotropic beams has been extended in multiple directions and there are now over 350 significant publications on this topic. A selection of the literature includes models to account for the effects of structural boundaries [47,48]; polycrystalline grain structure [49,50]; layered composite architecture [51][52][53]; electrostatic actuation [54]; and geometry (plates [54,55], slotted, channeled, and hollow beams [56][57][58], double-paddle oscillators [63], and bulk-mode, ring-mode, and disc-mode resonators [59]). Using these models, the design space can be explored to formulate detailed guidelines for selecting geometries, structures, modes, materials, and frequencies to minimize thermoelastic damping.…”

Section: Thermoelastic Dampingmentioning

confidence: 99%

Design strategies for controlling damping in micromechanical and nanomechanical resonators

2014

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Damping is a critical design parameter for miniaturized mechanical resonators usedin microelectromechanical systems (MEMS), nanoelectromechanical systems (NEMS),optomechanical systems, and atomic force microscopy for a large and diverse set ofapplications ranging from sensing, timing, and signal processing to precisionmeasurements for fundamental studies of materials science and quantum mechanics.This paper presents an overview of recent advances in damping from the viewpointof device design. The primary goal is to collect and organize methods, tools, andtechniques for the rational and effective control of linear damping in miniaturizedmechanical resonators. After reviewing some fundamental links between dynamicsand dissipation for systems with small linear damping, we explore the space ofdesign and operating parameters for micromechanical and nanomechanicalresonators; classify the mechanisms of dissipation into fluid–structure interactions(viscous damping, squeezed-film damping, and acoustic radiation), boundarydamping (stress-wave radiation, microsliding, and viscoelasticity), and materialdamping (thermoelastic damping, dissipation mediated by phonons and electrons,and internal friction due to crystallographic defects); discuss strategies for minimizingeach source using a combination of models for dissipation and measurements of material properties; and formulate design principles for low-loss micromechanical and nanomechanical resonators

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Section: Thermoelastic Dampingmentioning

confidence: 99%

Design strategies for controlling damping in micromechanical and nanomechanical resonators

2014

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“…From the second law of thermodynamics, entropy generation results from the irreversible heat flow caused by the compression and tension of an oscillating structure. This irreversible process of heat conduction results in a conversion of useful mechanical energy into heat and hence, causes thermoelastic damping [24]. For vibrating resonators during per cycle, the energy lost is the mechanical work loss ∆W as well as the heat increase ∆Q related to entropy [6].…”

Section: Problem Formulationmentioning

confidence: 99%

“…To date, the usual method to derive analytical models of TED in microresonators is calculating the mechanical work loss [22]. However, the entropy generation method is also used to evaluate TED in MEMS devices [13,[22][23][24][25]. In previous work [22], we presented analytical models of TED for flexural vibration resonators including microbeams and microplates by using the entropy generation method.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation and Thermoelastic Damping in the In-plane Vibration of Microring Resonators

Tai

Zheng

et al. 2019

Entropy

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Thermoelastic damping is a critical issue for designing very high quality factor microresonators. This paper derives the entropy generation, associated with the irreversibility in heat conduction, that is used for ring resonators in in-plane vibration and presents an analytical model of thermoelastic damping according to heat increments calculated by entropy theory. We consider the heat flow only in radial thickness of the ring and obtain a complex temperature field that is out of phase with the mechanical stress. The thermoelastic dissipation is calculated in the perspective of heat increments that appear due to entropy generation. The analytical model is validated by comparing with an LR (Lifshitz and Roukes) model, finite-element method and measurement. The accuracy of the present model is found to be very high for different ambient temperatures and structures. The effects of structure dimensions and vibration frequencies on entropy generation and thermoelastic damping is investigated for ring resonators under in-plane vibration.

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“…Up to date, a little of work relative to the thermoelastic damping in laminated composite resonators has been reported. Bishop and Kinra [14] first developed analysis of thermoelastic damping in laminated rectangular plate. Later on, Vengallatore and his co-author studied thermoelastic damping in bilayered [15] and symmetric, three-layered [11] beam resonators.…”

Section: Introductionmentioning

confidence: 99%

A Theoretical Analysis of Thermoelastic Damping Model in Laminated Trilayered Circular Plate Resonators

Sun

Yang²,

Jiang³

2014

WJM

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Thermoelastic damping of the axisymmetric vibration of laminated circular plate resonators is discussed in this paper. Based on the classical laminated plate theory assumptions, the governing equations of coupled thermoelastic problems are established for axisymmetric out-of-plane vibration of trilayered circular plate. The analytical expression for thermoelastic damping is obtained and the accuracy is verified through comparison with finite element analysis results. Then some simplifications are made on the theoretical model.

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Elastothermodynamic damping in laminated composites

Cited by 70 publications

References 28 publications

Design strategies for controlling damping in micromechanical and nanomechanical resonators

Design strategies for controlling damping in micromechanical and nanomechanical resonators

Entropy Generation and Thermoelastic Damping in the In-plane Vibration of Microring Resonators

A Theoretical Analysis of Thermoelastic Damping Model in Laminated Trilayered Circular Plate Resonators

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