Vibration analysis of thermoelastic micro-beams on a Pasternak foundation with two parameters using the Moore–Gibson–Thompson heat conduction model

IF 1.9 4区工程技术 Q3 MECHANICS

Continuum Mechanics and Thermodynamics Pub Date : 2025-01-30 DOI:10.1007/s00161-025-01358-z

Adam Zakria, Ahmed Yahya, Ahmed E. Abouelregal, Muntasir Suhail

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Abstract

This study investigated the thermoelastic vibration behavior of microbeams supported by a Pasternak foundation, characterized by two elastic parameters: the shear layer modulus and the Winkler modulus. The thermoelastic behavior of the beam was modeled using the Moore–Gibson–Thompson (MGT) heat conduction theory, which accounted for finite thermal wave speeds and included a higher-order time derivative to effectively address heat conduction dynamics in small-scale structures. The governing equations were derived from the coupled theories of generalized thermoelasticity and beam mechanics, integrating the effects of the foundation. The research examined how foundation parameters, thermal relaxation times, and beam geometry influenced vibration frequency, thermal damping, and the stability of the microbeam. Numerical simulations were performed to demonstrate the effects of material properties, foundation stiffness, and thermal loading on the dynamic behavior of the microbeam. The findings offered valuable insights for the design and optimization of microbeams in advanced engineering applications, such as MEMS devices and nanoscale structures, where thermal effects and foundation interactions were crucial

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采用Moore-Gibson-Thompson热传导模型分析两参数帕斯捷尔纳克地基上热弹性微梁的振动

采用剪切层模量和温克勒模量这两个弹性参数，研究了帕斯捷尔纳克地基微梁的热弹性振动特性。采用Moore-Gibson-Thompson （MGT）热传导理论对梁的热弹性行为进行了建模，该理论考虑了有限热波速度，并包含了高阶时间导数，以有效地解决小尺度结构中的热传导动力学问题。控制方程由广义热弹性力学和梁力学耦合理论推导而来，考虑了地基的影响。该研究考察了基础参数、热松弛时间和梁的几何形状如何影响微梁的振动频率、热阻尼和稳定性。数值模拟验证了材料特性、基础刚度和热载荷对微梁动力特性的影响。这些发现为先进工程应用中的微梁设计和优化提供了有价值的见解，例如MEMS器件和纳米级结构，其中热效应和基础相互作用至关重要

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.