Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Thermoelastic Damping of Functionally Graded Material Micro-Beam Resonators Based on the Modified Couple Stress Theory

Thermoelastic Damping of Functionally Graded Material Micro-Beam Resonators Based on the Modified... Thermoelastic damping (TED) is one of the main internal energy dissipation mechanisms in micro-/nano-resonators. Accurate evaluation of TED is important in the design of micro-electromechanical systems and nano-electromechanical systems. In this paper, a theoretical analysis on the TED in functionally graded material (FGM) micro-beam resonators is presented. Equations of motion and the heat conduction equation governing the thermodynamic coupling free vibration of non-homogenous micro-beams are established based on the Euler–Bernoulli beam theory associated with the modified couple stress theory. Material properties of the FGM micro-beam are assumed to change in the depth direction as power-law functions. The layer-wise homogenization method is used for solving the heat conduction equation. By using the mathematical similarity of eigenvalue problem between the FGM beam and the reference homogeneous one, the complex natural frequency including TED is expressed in terms of the natural frequency of the isothermal homogenous beam. In the presented numerical results, influences of various characteristic parameters, such as beam thickness, material gradient index, structure size, vibration mode and boundary conditions, on TED are examined in detail. It shows that TED decreases with the increases in the values of length scale parameters because the latter lead to the increase in structural stiffness. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Thermoelastic Damping of Functionally Graded Material Micro-Beam Resonators Based on the Modified Couple Stress Theory

Zhang, Zhichao; Li, Shirong
"Acta Mechanica Solida Sinica" , Volume 33 (4) – Aug 2, 2020
Download PDF
12 pages

Loading next page...
 
/lp/springer-journals/thermoelastic-damping-of-functionally-graded-material-micro-beam-Bm3Fmkab2z
Publisher
Springer Journals
Copyright
Copyright © The Chinese Society of Theoretical and Applied Mechanics 2020
Subject
Engineering; Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-019-00155-x
Publisher site
See Article on Publisher Site

Abstract

Thermoelastic damping (TED) is one of the main internal energy dissipation mechanisms in micro-/nano-resonators. Accurate evaluation of TED is important in the design of micro-electromechanical systems and nano-electromechanical systems. In this paper, a theoretical analysis on the TED in functionally graded material (FGM) micro-beam resonators is presented. Equations of motion and the heat conduction equation governing the thermodynamic coupling free vibration of non-homogenous micro-beams are established based on the Euler–Bernoulli beam theory associated with the modified couple stress theory. Material properties of the FGM micro-beam are assumed to change in the depth direction as power-law functions. The layer-wise homogenization method is used for solving the heat conduction equation. By using the mathematical similarity of eigenvalue problem between the FGM beam and the reference homogeneous one, the complex natural frequency including TED is expressed in terms of the natural frequency of the isothermal homogenous beam. In the presented numerical results, influences of various characteristic parameters, such as beam thickness, material gradient index, structure size, vibration mode and boundary conditions, on TED are examined in detail. It shows that TED decreases with the increases in the values of length scale parameters because the latter lead to the increase in structural stiffness.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Aug 2, 2020

References

  • Analysis of thermoelastic damping in micro- and nanomechanical resonators based on dual-phase-lagging generalized thermoelasticity theory
    Guo, FL; Wang, GQ; Rogerson, GA
  • Internal friction in solids. I. Theory of internal friction in reeds
    Zener, C
  • Internal friction in solids II. General theory of thermoelastic internal friction
    Zener, C
  • Thermoelastic damping in micro-and nanomechanical systems
    Lifshitz, R; Roukes, ML
  • Modeling size-dependent thermoelastic energy dissipation of graphene nanoresonators using nonlocal elasticity theory
    Rashahmadi, S; Meguid, SA
  • The concept of FGM
    Koizumi, M
  • Thermal analysis of FGM plates—a critical review of various modelling techniques and solution methods
    Swaminathan, K; Sangeetha, DM
  • Influence of surface effects on vibration behavior of a rotary functionally graded nanobeam based on Eringen’s nonlocal elasticity
    Ghadiri, M; Shafiei, N; Safarpour, H
  • Exact solution for thermal damping of functionally graded Timoshenko microbeams
    Emami, AA; Alibeigloo, A
  • Thermoelastic damping analysis of FG Mindlin microplates using strain gradient theory
    Emami, AA; Alibeigloo, A
  • Unified finite element approach for generalized coupled thermoelastic analysis of 3D beam-type structures, part 1: Equations and formulation
    Entezari, A; Filippi, M; Carrera, E
  • Analysis of thermoelastic damping of functionally graded material beam resonators
    Li, SR; Xu, X; Chen, S
  • Thermoelastic damping in functionally graded material circular micro plates
    Li, SR; Chen, S; Xiong, P
  • Thermoelastic damping in bilayered micromechanical beam resonators
    Prabhakar, S; Vengallatore, S
  • Thermoelastic damping of the axisymmetric vibration of laminated trilayered circular plate resonators
    Sun, YX; Jiang, Y; Yang, JL
  • Thermoelastic damping in the size-dependent microplate resonators based on modified couple stress theory
    Zhong, ZY; Zhang, WM; Meng, G; Wang, MY
  • Thermoelastic damping in micro-and nanomechanical beam resonators considering size effects
    Zhang, H; Kim, T; Choi, G; Cho, HH
  • Couple stress based strain gradient theory for elasticity
    Yang, F; Chong, ACM; Lam, DCC
  • Size-dependent elastic properties of micro-and nano-honeycombs
    Zhu, HX
  • The size-dependent natural frequency of Bernoulli-Euler micro-beams
    Kong, S; Zhou, S; Nie, Z; Wang, K
  • An analytical solution for thermoelastic damping in a micro-beam based on generalized theory of thermoelasticity and modified couple stress theory
    Kakhki, EK; Hosseini, SM; Tahani, M
  • Investigation of thermoelastic damping in rectangular microplate resonator using modified couple stress theory
    Razavilar, R; Alashti, RA; Fathi, A
  • Micro-structure in linear elasticity
    Mindlin, RD
  • Effects of couple-stresses in linear elasticity
    Mindlin, RD; Tiersten, HF
  • Elastic materials with couple-stresses
    Toupin, RA
  • Microstructure-dependent couple stress theories of functionally graded beams
    Reddy, JN
  • Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams
    Akgöz, B; Civalek, Ö
  • Thermal effect on size dependent behavior of functionally graded microbeams based on modified couple stress theory
    Nateghi, A; Salamat-talab, M
  • Free vibration analysis of functionally graded material beams based on Levinson beam theory
    Wang, X; Li, S