Abstract
In the current paper, the sensitivity performance of functionally graded magneto-electro-elastic (FG-MEE) nanoplate with attached nanoparticles as a nanosensor is analyzed based on nonlocal Mindlin plate assumption. Power law distribution model is employed to display how the material properties of FG-MEE nanoplate vary across the thickness direction. It is supposed that FG-MEE nanoplate is under initial external electric and magnetic potentials. Boundary condition of each edge of FG-MEE nanoplate is assumed to be simply supported. Furthermore, a Pasternak substrate is applied for modelling the total reaction pressure between nanoplate and foundation. Partial differential equations and corresponding boundary conditions are first achieved using Hamilton’s variational principle and then analytically solved to determine the frequency shift utilizing Navier’s approach. Numerical examples are performed to elucidate the dependency of the sensitivity performance of FG-MEE nanosensor on the volume fraction exponent, nonlocal parameter, total attached mass and location of the nanoparticle, aspect ratio, mode number, initial external electric voltage, initial external magnetic potential, and Pasternak medium coefficients. It is clearly indicated that these factors have highly significant impacts on the variations of frequency shift.
Highlights
In the recent years, with the rapid growth in the use of the composite materials in a wide range of engineering structures such as aircraft structures (Baker and Baker 2004) and sensor and actuators (Tressler et al 1999; Akdogan et al 2005; Li et al 2008) because of their excellent mechanical properties, the importance of recognizing the composite material behavior increases day to day
In the current paper, the sensitivity performance of functionally graded magneto-electro-elastic (FG-MEE) nanoplate with attached nanoparticles as a nanosensor is analyzed based on nonlocal Mindlin plate assumption
Some of the most popular modified theories include nonlocal elasticity theory suggested by Eringen (1972, 1983), modified couple stress theory presented (MCST) by Yang et al (2002) and modified strain gradient theory (MSGT) suggested by Lam et al (2003)
Summary
With the rapid growth in the use of the composite materials in a wide range of engineering structures such as aircraft structures (Baker and Baker 2004) and sensor and actuators (Tressler et al 1999; Akdogan et al 2005; Li et al 2008) because of their excellent mechanical properties, the importance of recognizing the composite material behavior increases day to day. On the basis of nonlocal elasticity theory in conjunction with Gurtin–Murdoch elasticity theory, Hosseini and Jamalpoor (2015) reported the important role of the surface effects, i.e., surface elasticity, residual stresses and surface density on the free vibration of a double-FGM viscoelastic nanoplates-system under thermal load They considered that the material traits of the plate follow power law repartition in the thickness direction. In this work, a first-order shear deformable (Mindlin) plate theory in conjunction with the nonlocal elasticity theory is applied to take into account the size effect on the sensitivity of the sensor In this regard, the key novelties of the presented study are summarized as follows:. Partial differential equations of motion of the system with multiple added masses are derived by employing Hamilton’s principle, by applying the analytical Navier type solution, the frequency shift of the system is presented in the explicit closed-form
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
