Vibration analysis of nanobeams subjected to gradient-type heating due to a static magnetic field under the theory of nonlocal elasticity

Abstract

Nanoelectromechanical systems (NEMS) have received great interest from researchers around the world since the advent of nanotechnology and nanoengineering. This can be attributed due to the unique characteristics of NEMS devices and their wide range of applications. Among these applications, nanobeams and nanotubes now have an important role in the design of a variety of NEMS engineering devices. In the current research, the thermoelastic vibration analysis of Euler–Bernoulli nanobeams has been investigated using the theory of non-local elasticity proposed by Eringen. Also to study the effect of temperature change, the generalized thermoelastic model with dual phase-lag (DPL) is applied. The studied nanobeam is subjected to an axial thermal excitation load and surrounded by a magnetic field of constant strength. The Laplace transform technique has been used to solve the system differential equations and to find an approximate analytical solution for the different physical fields of the nanobeam. The numerical results obtained for the studied variables have been graphically clarified and discussed analytically. The effects of various influencing factors such as magnetic field strength, temperature change, non-local parameter as well as ramp type parameter have been examined and studied in detail.

A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

“…The theory of nonlocal elasticity has been studied by many researchers Eringen and Edelen (1972), Eringen (1983), Inan and Eringen (1991), Wang and Dhaliwal (1993), Zenkour and Abouelregal (2016), Zhu et al (2017), Sarkar et al (2020) and Othman and Said (2014). Various vital approaches for determining the solutions of the governing equations of problems in thermodynamics, electrohydrodynamics and thermoelasticity have been introduced by Abouelregal and Ahmad (2021) and Ahmad et al (2022).…”

“…For this model, we can consider several kinds of Taylor approximations to recover the previously cited theories. Abouelregal and Ahmad (2021) and Ahmad et al. (2022) have solved different problems applying the 3PHL model.…”

“…(2020) and Othman and Said (2014). Various vital approaches for determining the solutions of the governing equations of problems in thermodynamics, electrohydrodynamics and thermoelasticity have been introduced by Abouelregal and Ahmad (2021) and Ahmad et al. (2022).…”

Nonlinear dynamic and stability of a small size moving beam under thermal conditions

“…It was shown that the nonlocal nanoscale parameters causes an increase in the natural frequency of transverse vibration of the beam. Applying the nonlocal elasticity theory, Ahmad et al 45 showed the significance of the nonlocal parameter on the nanobeam dynamic response. Laplace transformation was used in the analytical solution.…”