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Author

Yin Lu

Bio: Yin Lu is an academic researcher. The author has contributed to research in topics: Equations of motion & Thermoelastic damping. The author has an hindex of 1, co-authored 1 publications receiving 3 citations.

Papers
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TL;DR: In this paper, the effect of non-local strain gradient and phase lag parameters on the behavior of Timoshenko nanobeams was investigated. But the authors focused on the effect on the nanostructure and heat conduction.
Abstract: In this article, size-dependent modeling and analysis of thermoelastic coupling effect on the oscillations of Timoshenko nanobeams are carried out. Small-scale effect on the nanostructure and heat conduction is taken into account with the aid of nonlocal strain gradient theory (NSGT) together with dual-phase-lag (DPL) heat conduction model. In order to illustrate the influence of nonclassical scale parameters on the coefficients of governing equations, the normalized forms of size-dependent equations of motion and heat conduction are established by definition of some dimensionless parameters. These coupled differential equations are then solved in the Laplace domain to attain the analytical thermoelastic responses of a simply supported Timoshenko nanobeam subjected to a dynamic load. Through several numerical examples, a detailed parametric study is performed to illuminate the decisive role of nonlocal, strain gradient and phase lag parameters in thermoelastic behavior of Timoshenko nanobeams. Furthermore, comparing the results corresponding to various relative magnitudes of nonlocal and strain gradient length scale parameters confirms the potential of NSGT for covering both hardening and softening characteristic of nanoscale structures.

19 citations


Cited by
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01 Mar 2000
Abstract: The importance of thermoelastic damping as a fundamental dissipation mechanism for small-scale mechanical resonators is evaluated in light of recent efforts to design high-Q micrometer- and nanometer-scale electromechanical systems. The equations of linear thermoelasticity are used to give a simple derivation for thermoelastic damping of small flexural vibrations in thin beams. It is shown that Zener’s well-known approximation by a Lorentzian with a single thermal relaxation time slightly deviates from the exact expression.

106 citations

Journal ArticleDOI
TL;DR: In this article , a size-dependent generalized thermoelasticity model and closed-form solution for TED in cylindrical nanoshells is presented. But, the authors do not consider the effect of temperature and structural and thermal nonlocal parameters.
Abstract: The present article intends to provide a size-dependent generalized thermoelasticity model and closed-form solution for thermoelastic damping (TED) in cylindrical nanoshells. With the aim of incorporating size effect within constitutive relations and heat conduction equation, nonlocal elasticity theory and Guyer–Krumhansl (GK) heat conduction model are exploited. Donnell–Mushtari–Vlasov (DMV) equations are also employed to model the cylindrical nanoshell. By adopting asymmetric simple harmonic form for oscillations of nanoshell and merging the motion, compatibility and heat conduction equations, the nonclassical frequency equation is extracted. By solving this eigenvalue problem and separating the real and imaginary parts of complex frequency analytically, an explicit expression is given to estimate the magnitude of TED in cylindrical nanoshells with arbitrary boundary conditions. Good agreement between the results of this study in special cases and those available in the literature affirms the validity of present formulation. In the following, for some vibration modes, a detailed parametric study is conducted to illuminate the determining role of structural and thermal nonlocal parameters in the amount of TED in simply-supported cylindrical nanoshells. The augmentation of difference between classical and nonclassical results by reduction in dimensions of nanoshell confirms the small-scale effect on TED value at nanoscales. • A closed-form expression for evaluating the amount of thermoelastic damping (TED) in cylindrical nanoshells is given. • The nonlocal elasticity theory and the Guyer-Krumhansl (GK) heat conduction model are used. • Comparison studies are conducted to check the validity of presented formulation. • Parametric studies are done on the results given by classical and nonclassical continuum theories and heat transfer models. • Detailed numerical results are provided to survey the effect of some parameters like vibration mode on TED value.

15 citations

Journal ArticleDOI
TL;DR: In this article, the authors assessed thermoelastic damping (TED) in circular nanoplates by incorporating the small-scale effect into structural and thermal domains, based on the nonlocal elasticity theory and dual-phase phase transition.
Abstract: This paper assesses thermoelastic damping (TED) in circular nanoplates by incorporation of the small-scale effect into structural and thermal domains. The nonlocal elasticity theory and dual-phase-...

14 citations

Journal ArticleDOI
TL;DR: In this paper, the authors examined the effect of nonlocal elasticity theory and dual-phase-lag (DPL) heat conduction model on thermal damping in circular cylindrical nanoshells.

7 citations