基于修正耦合应力理论的长度尺度参数对微纳板材料热弹性阻尼的影响

IF 0.6 4区 工程技术 Q4 MECHANICS Mechanika Pub Date : 2022-06-21 DOI:10.5755/j02.mech.25841
R. R., V. Babu, M. Baiju
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引用次数: 0

摘要

在不同的能量耗散机制中,热弹性阻尼在谐振器中起着至关重要的作用,需要通过改善其热弹性阻尼有限质量因子(QTED)来改善其性能参数。最大能量耗散也与临界长度相关(????????)。通过优化板的尺寸,可以减少能量耗散的峰值。随着器件尺寸的缩小,经典连续统理论无法解释微米或亚微米水平上与尺寸效应相关的力学行为,因此非经典连续统理论开创了内部长度尺度参数的开始。本文应用修正耦合应力理论,基于kirchhoff模型对各向同性矩形微板进行分析,分析了尺寸相关的热弹性阻尼及其对质量因子和临界尺寸的影响。采用Hamilton原理推导运动控制方程,采用耦合热传导方程推导板的热弹性阻尼限制品质因子。五种不同的结构材料(多晶硅、金刚石、硅、砷化镓和sic)被用于优化QTED,这取决于材料的性能指标参数。热弹性阻尼指数[TDI]和热扩散长度,lT.根据这项工作,获得了具有最低TDI的多晶硅的最大QTED和具有最低ltc的SiC的最大Lcmax。还研究了长度尺度参数(l),振动模式,边界条件(夹紧-夹紧和简支撑)和工作温度对QTED和Lcare的影响。结果表明,选择低温和较高的内部长度尺度参数可以进一步最大化QTED。QTED和Lchelp的先验知识有助于设计出高性能低损耗谐振器。
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Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory
Among the different energy dissipation mechanisms, thermoelastic damping plays a vital role and need tobe alleviated in resonators inorder to enhance its performance parameters by improving its thermoelastic dampinglimited qualityfactor, QTED. The maximum energy dissipation is also interrelated with critical length (???????? ) of theplates and by optimizing the dimensions the peaking of energy dissipation can be diminished. As the size of thedevices is scaled down, classical continuum theories are not able to explain the size effect related mechanicalbehavior at micron or submicron levels and as a result non-classical continuum theories are pioneered with theinception of internal length scale parameters. In this paper, analysis of isotropic rectangular micro-plates based onKirchhoff model applying Modified Coupled Stress Theory is used toanalyzethe size-dependent thermoelasticdamping and its impact on quality factor and critical dimensions.Hamilton principle is adapted to derive thegoverning equations of motion and the coupled heat conduction equation is employed to formulate the thermoelasticdamping limited quality factor of the plates. Five different structural materials (PolySi, Diamond,Si, GaAs andSiC)are used for optimizing QTED which depends on the materialperformance index parameters. ThermoelasticDamping Index [TDI] and thermal diffusion length, lT. According to this work, the maximum QTED is attained forPolySi with the lowest TDI and Lcmax is obtained for SiC which is having the lowest lT. The impact of lengthscaleparameters (l), vibration modes, boundary conditions (Clamped–Clamped and Simply Supported), and operatingtemperatures on QTED and Lcare also investigated. It is concluded that QTED is further maximized by selecting lowtemperatures and higher internal length scale parameters (l).The prior knowledge of QTED and Lchelp the designers tocome out with high performance low loss resonators.
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来源期刊
Mechanika
Mechanika 物理-力学
CiteScore
1.30
自引率
0.00%
发文量
50
审稿时长
3 months
期刊介绍: The journal is publishing scientific papers dealing with the following problems: Mechanics of Solid Bodies; Mechanics of Fluids and Gases; Dynamics of Mechanical Systems; Design and Optimization of Mechanical Systems; Mechanical Technologies.
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