Abstract
In this work, a modified viscoelastic model of initially stressed microbeam on the base of the Winkler foundation under the effect of ultrafast laser heating and axial stress has been proposed. Viscosity effects are taken into account following the Kelvin–Voigt model. The governing equation for the thermoelastic vibration of the microbeam is obtained when the thermal field effect is defined by the non-Fourier Moore–Gibson–Thompson (MGT) heat equation. The microbeam is seen as an Euler–Bernoulli beam that is exposed to varying sinusoidal heat. An analytical solution to the problem has been presented on the basis of the Laplace transform in addition to applying a numerical method to find inverse transformations. A numerical illustration is organized in the discussion section which discusses the impact of different effective parameters both on the vibrational behavior of a microbeam system and on the field variables. The viscous damping coefficient, laser pulse duration, and axial load greatly affect the deflection and temperature responses. The results obtained are verified and compared with the literature.
Highlights
Micro-mechanical systems (MEMs) have features that can be used in a wide range of food, plasma, optics, etc., for example, low weights, low energy consumption, and low costs
If the effective parameters are constant, the non-dimensional field variables along the axial distance x of the microbeam are examined in different thermoelasticity theories (CTE, LS, GN-II, Green–Naghdi theory of thermoelasticity (GN-III), and Moore–Gibson–Thompson thermoelasticity (MGTE))
Tables and Figures display the influence of thermal parameters τ0 and K* on the dimensionless mechanical and thermal fields of viscoelastic microbeams resting on Winkler’s elastic foundation medium under laser pulse heating
Summary
Micro-mechanical systems (MEMs) have features that can be used in a wide range of food, plasma, optics, etc., for example, low weights, low energy consumption, and low costs. If the effective parameters are constant, the non-dimensional field variables along the axial distance x of the microbeam are examined in different thermoelasticity theories (CTE, LS, GN-II, GN-III, and MGTE). Tables and Figures display the influence of thermal parameters τ0 and K* on the dimensionless mechanical and thermal fields of viscoelastic microbeams resting on Winkler’s elastic foundation medium under laser pulse heating. The results of the generalized thermoelasticity model GN-IIII demonstrate the convergence between the traditional thermoelastic model (CTE) which, unlike other generalized thermoelasticity models, do not fade into heat It is entirely consistent with the information provided to Quintanilla.[56,60] The Figures and the Table show the identical trends of viscous solids to the changes in temperatures and physical quantities that were examined in the theories of thermoelasticity MGTE and LS. The increase in the laser-pulse parameter tp causes the temperature and deflection to decrease, as the microbeam rests on Winkler’s elastic foundation
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