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The current paper has been presented to illustrate the thermoelastic vibration of a rotating microbeam based on generalized thermoelasticity theory, taking into account Euler–Bernoulli's assumptions. Using Hamilton's principle, the equation of motion of the initially stressed rotating microbeams has been derived. The microbeam is exposed to femtosecond laser pulses and sinusoidal varying heat. The Laplace transform technique is applied to obtain an analytical solution to the field variables. The influence of properties of various parameters, such as axial load, laser pulse duration, angular velocity, and material variation on the thermal and elastic waves of the rotating microbeam has been displayed graphically and discussed in detail. [ABSTRACT FROM AUTHOR]

Moore-Gibson-Thompson (MGT) is an equation which appropriately describes the spread of sound waves in gasses and fluids as well as thermal/mechanical waves in elastic bodies. The objective of this article is to theoretically analyze the generalized thermoelasticity models that have been presented as the development of the Fourier's law dealing with the paradox of unlimited propagation velocities of thermal waves. For this purpose, a new model is presented which combines the third type of Green and Naghdi model (GN-III) with the generalized theory including the relaxation time based on the MGT equation. The proposed model may be considered as a generalization of previous thermoelastic theories. To examine the introduced approach, the behavior of thermoelastic waves within a homogeneous isotropic sphere in which its surface is exposed to thermal shock with varying heat source is investigated. The variations in different physical fields of a given substance have been computed by means of Laplace transform technique and an efficient numerical technique is implemented in Laplace inversion procedure. The effect of different forms of heat source are also examined and several comparisons for various thermoelasticity approaches are comprehensively conducted. [ABSTRACT FROM AUTHOR]

• The study of a rotating viscoelastic thin microbeam. • Capturing the influences of viscoelastic behavior via a non-Fourier heat conduction model. • To incorporate the viscoelastic properties of the model in terms of the Kelvin-Voigt scheme. • To reduce the new viscoelastic microbeam model to the elastic beam theory. • The effect of the viscous damping coefficient on the microbeam structure. In this investigation, the system of equations governing the thermoelastic behavior of a rotating viscoelastic microbeam has been derived based on the non-Fourier heat conduction model. The viscoelastic properties of the material are incorporated in terms of the Kelvin-Voigt scheme. This considered microbeam is axially compressed and rotated at a uniform angular velocity in addition to exposing it to a femtosecond laser pulse heat source. The proposed model can be reduced to the thermoelastic beam theory when the viscous and rotation parameters are neglected. To obtain an analytical solution for the studied fields, the Laplace transform technique is applied. The effect of the viscous damping coefficient on the microbeam structure has been studied. Also, the effect of the axial load, laser pulse duration and angular velocity on the thermal and elastic waves of the rotating microbeam has been presented graphically and analyzed in detail. [ABSTRACT FROM AUTHOR]

In recent decades, microelectromechanical system (MEMS) technology has aroused great interest from researchers in the fields of science and technology, electromechanics, chemistry, and bioengineering. Rotary systems are also used in a variety of sectors, from a space station with a spinning wheel to a small turbine in smartphones. In this paper, the thermoviscoelastic interactions of rotating microbeams were investigated using the modified couple stress theory (MCST) to examine the size-dependent effect. Also, the governing equations were derived within the framework of the Lord and Shulman generalized thermoelastic theory and the Euler–Bernoulli beam model. In addition, the Kelvin–Voigt approach is used to calculate the properties of viscoelastic materials. By applying the proposed model, an axially compressed microbeam that rotates at a constant angular velocity and is exposed to a femtosecond laser pulsed heat source was studied To solve the equations of motion in the space domain, the well-known Laplace transform technique is utilized. The inverse Laplace transform is calculated numerically using a well-established and reliable approximation approach. The effect of the length scale parameter, laser pulse duration, and angular velocity on the heat and elastic waves of a rotating thin beam is explored and discussed. The effect of the viscous damping factor on different physical fields of the microbeam was also studied. • The thermoviscoelastic interactions of rotating microbeams based on the modified couple stress theory are studied. • The governing equations are derived based on generalized thermoelasticity and Euler–Bernoulli beam theories. • This microbeam is axially compressed and rotated at a consistent angular speed and subjected to a heat source. • The influence of the effective parameters on the thermal and mechanical waves was depicted and explored in depth. [ABSTRACT FROM AUTHOR]