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

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