Thermoelastic vibrations in electro-mechanical resonators based on rotating microbeams exposed to laser heat under generalized thermoelasticity with three relaxation times.

The present study illustrates the thermoelastic vibrations of a rotating microbeam caused by a laser pulse heat source and sinusoidal heating in the context of three-phase thermoelasticity. Mathematical modeling of the problem was developed using the concept of the Euler–Bernoulli beam theory and the generalized theory of thermal conductivity with three relaxation coefficients of time. It was taken into account that the flexible beam suffers from initial stress at the beginning. The microbeam motion equation was derived by applying the assumptions of the Hamiltonian principle. The closed-form solutions of the studied domains are identified in the Laplace transform domain. After presenting the numerical inversion of the Laplace transform, the numerical results for the studied field variables, such as deflection and temperature, were developed. The influences of the angular velocity of rotation, the initially applied pressure, and the intensity of the laser pulse on the behavior of the physical fields have been demonstrated. In addition, the advantage of the current model has been verified by comparing the results of the field variables of the current model with the results of other thermal conduction theories, whether classical or generalized. It is believed that the results extracted from the present study may be useful for developing some high-quality electromechanical systems. [ABSTRACT FROM AUTHOR]