• Title/Summary/Keyword: thermoelastic beam

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Thermoelastic beam in modified couple stress thermoelasticity induced by laser pulse

  • Kumar, Rajneesh;Devi, Shaloo
    • Computers and Concrete
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    • v.19 no.6
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    • pp.701-710
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    • 2017
  • In this study, the thermoelastic beam in modified couple stress theory due to laser source and heat flux is investigated. The beam are heated by a non-Guassian laser pulse and heat flux. The Euler Bernoulli beam theory and the Laplace transform technique are applied to solve the basic equations for coupled thermoelasticity. The simply-supported and isothermal boundary conditions are assumed for both ends of the beam. A general algorithm of the inverse Laplace transform is developed. The analytical results have been numerically analyzed with the help of MATLAB software. The numerically computed results for lateral deflection, thermal moment and axial stress due to laser source and heat flux have been presented graphically. Some comparisons have been shown in figures to estimate the effects of couple stress on the physical quantities. A particular case of interest is also derived. The study of laser-pulse find many applications in the field of biomedical, imaging processing, material processing and medicine with regard to diagnostics and therapy.

Oscillation of Microbeam Structure with Irregular Mass Distribution

  • Kang, Seok-Joo;Kim, Jung-Hwan;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.528-532
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    • 2013
  • In this study, an analytical model of micro-beam structure including thermoelastic damping with irregularly distributed masses is investigated. The significance of thermoelastic damping for micro-scale mechanical resonators is evaluated to design -with high quality factor(Q-factor). The beam model of this work is based on Euler-Bernoulli beam theory. In order to determine the natural frequency of the model, energy method is applied. Also, the thermoelatic damping effects are considered by using heat conduction equations, and the Q-factor can be determined. To derive the equation of motion, non-dimensionalization is employed for systematic analysis. Results of the model are verified, and present mode shapes and Q-factors for the micro-beam with thermoelastic damping including random point masses.

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Dynamics of an Axially Moving Thermoelastic Beam-plate (이동하는 열탄성 보-평판의 동적 해석)

  • Kwon, Kyung-Soo;Cho, Joo-Yong;Lee, U-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.715-718
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    • 2005
  • For accurate prediction of the thermal shock-induced vibrations, this paper develops a spectral element model for usually moving thermoelastic beam-plates. The spectral element model is formulated from the frequency-dependent dynamic shape functions which satisfy the governing equations in the frequency-domain. Some numerical studies are conducted to evaluate the present spectral element model and also to investigate the vibration characteristics of an example axially moving beam-plate subjected to thermal loadings.

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Analysis on Thermoelastic Stress in the Cantilever Beam by Lock-in Thermography

  • Kang, K.S.;Choi, M.Y.;Park, J.H.;Kim, W.T.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.28 no.3
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    • pp.273-278
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    • 2008
  • In this paper, effects of thermoelastic stress by using lock-in thermography was measured in the cantilever beam. In experiment, a circular holed plate was applied to analyze variation of transient stress under the condition of repeated cyclic loading. And the finite element modal analysis as computational work was performed. According to the surface temperature obtained from infrared thermography, the stress of the nearby hole was predicted based on thermoelastic equation. As results, each stress distributions between 2nd and 3rd vibration mode were qualitatively and quantitatively investigated, respectively. Also, dynamic stress concentration factors according to the change of vibration amplitude were estimated for the resonance frequency.

Dynamics of an Axially Moving Thermoelastic Beam-Plate (축방향으로 이동하는 열탄성 보-평판의 동특성 해석)

  • 김도연;이우식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.21-28
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    • 2003
  • The use of frequency-dependent spectral element matrix (or dynamic stiffness matrix) in structural dynamics may Provide very accurate solutions, while it reduces the number of degrees of freedom to improve the computational efficiency and cost problems. Thus, this paper develops a spectral element model for the coupled thermoelastic beam-plate moving with constant speed under uniform in-plane tension.

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A variational asymptotic approach for thermoelastic analysis of composite beams

  • Wang, Qi;Yu, Wenbin
    • Advances in aircraft and spacecraft science
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    • v.1 no.1
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    • pp.93-123
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    • 2014
  • A variational asymptotic composite beam model has been developed for thermoelastic analysis. Composite beams, including sandwich structure and laminates, under different boundary conditions are examined. Previously developed beam model, which is based on variational-asymptotic method, is extended to incorporate temperature-dependent materials experiencing large temperature changes. The recovery relations have been derived so that the temperatures, heat fluxes, stresses, and strains can be recovered over the cross-section. The present theory is implemented into the computer program VABS (Variational Asymptotic Beam Sectional analysis). Numerical results are compared with the 3D analysis for the purpose of demonstrating advantages of the present theory and use of VABS.

Spectral Element Analysis of an Axially Moving Thermoelastic Beam (축 방향으로 이동하는 열 탄성 보의 스펙트럴요소해석)

  • 김도연;권경수;이우식
    • Journal of the Korean Society for Railway
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    • v.7 no.3
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    • pp.239-244
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    • 2004
  • The use of frequency-dependent spectral element matrix (or exact dynamic stiffness matrix) in structural dynamics may provide very accurate solutions, together with drastically reducing the number of degrees of freedom to improve the computation efficiency and cost problems. Thus, this paper develops a spectral element model for the coupled thermoelastic beam which axially moves with constant speed under a uniform tension. The accuracy of the spectral element model is then evaluated by comparing the natural frequencies obtained by the present element model with those obtained by the conventional finite element model.

An Axially Moving Thermoelastic Beam-plate: Spectral Element Modeling and Analysis (이동하는 열탄성 보-평판의 진동에 대한 스펙트럴요소 해석)

  • Kwon Kyung-Soo;Cho Joo-Yong;Lee U-Sik
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.344-349
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    • 2005
  • The axially moving thin beam-plates exposed to sudden thermal loadings may experience severe vibrations through the thermal shock process. For accurate prediction of the thermal shock-induced vibrations, this paper develops a spectral element model for axially moving thermoelastic beam-plates. The spectral element model which is represented by spectral element matrix is formulated from the frequency-dependent dynamic shape functions which satisfy the governing equations in the frequency-domain. Thus, when compared with the classical finite element model in which simple polynomial functions are used as the shape functions, the spectral element model can provide exact solution by treating a whole uniform structure member as a single finite element, regardless of its length.

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Effect of the laser pulse on transient waves in a non-local thermoelastic medium under Green-Naghdi theory

  • Sarkar, Nantu;Mondal, Sudip;Othman, Mohamed I.A.
    • Structural Engineering and Mechanics
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    • v.74 no.4
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    • pp.471-479
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    • 2020
  • This paper aims to study the effect of the elastic nonlocality on the transient waves in a two-dimensional thermoelastic medium influenced by thermal loading due to the laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam. The problem is discussed under the Eringen's nonlocal elasticity model and the Green-Naghdi (G-N) theory with and without energy dissipation. The normal mode analysis method is used to get the exact expressions for the physical quantities which illustrated graphically by comparison and discussion. The effects of nonlocality and different values of time on the displacement, the stresses, and the temperature were made numerically. All the computed results obtained have been depicted graphically and explained.

Dual-phase-lag model on microstretch thermoelastic medium with diffusion under the influence of gravity and laser pulse

  • Othman, Mohamed I.A.;Abd-Elaziz, Elsayed M.;Mohamed, Ibrahim E.A.
    • Structural Engineering and Mechanics
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    • v.75 no.2
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    • pp.133-144
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    • 2020
  • This investigation is to study the effect of gravitational field and diffusion on a microstretch thermoelastic medium heating by a non-Gaussian laser beam. The problem was studied in the context of the dual-phase-lag model. The normal mode analysis is used to solve the problem to obtain the exact expressions for the non-dimensional displacement components, the micro-rotation, the stresses, and the temperature distribution. The effect of time parameter, heat flux parameter and gravity response of three theories of thermoelasticity i.e. dual-phase-lag model (DPL), Lord and Shulman theory (L-S) and coupled theory (CT) on these quantities have been depicted graphically for a particular model.