Nonlinear dynamic analysis of temperature-dependent functionally graded magnetostrictive sandwich nanobeams using different beam theories

Abstract

In the present study, nonlinear dynamic analysis of an embedded functionally graded sandwich nanobeam (FGSNB) integrated with magnetostrictive layers is investigated. The core layer of FGSNB, which is subjected to a time-dependent transverse load, is made of a two-constituent functionally graded material that the material properties of the functionally graded nanobeam are temperature dependent and assumed to vary in the thickness direction. The modified couple stress theory is taken into account so as to consider the small-scale effects. The surrounding elastic medium is simulated as visco-Pasternak foundation to study the effects of damping, shear and elastic effects of surrounded medium. Using energy method and Hamilton's principle, the governing motion equations and related boundary conditions are obtained for different beam theories. Finally, the differential quadrature as well as Newmark-β methods are employed to obtain the nonlinear dynamic response of the functionally graded magnetostrictive sandwich nanobeam (FGMSNB), and therefore deflection-response curves are plotted to study the effects of small-scale parameter, surrounding elastic medium, magnetostrictive layers, geometrical parameters, material compositions of core layer, environment temperature and boundary conditions and nonlinear terms graphically. The results indicate that the magnetostrictive layers play a key role on the dynamic behavior of the FGMSNB. Moreover, comparing results with those obtained in Ghorbanpour Arani and Abdollahian (Mech Adv Mater Struct, 2017.

A wave model of high frequency vibrational energy transfer in a wedge-shaped combined plate structure

“…9 Ghorbanpour Arani et al has conducted extensive research on the propagation of coupled structural vibration waves, providing a reference for the subsequent solution of motion equations and derivation of energy density governing equations in this paper. [10][11][12] When solving issues is about combined structures using the EFEA, the energy density at coupling joints is discontinues. It is thus necessary to research the energy transfer coefficient at the joints, to reflect the energy transfer relationship to the total stiffness matrix.…”

“…9 Ghorbanpour Arani et al has conducted extensive research on the propagation of coupled structural vibration waves, providing a reference for the subsequent solution of motion equations and derivation of energy density governing equations in this paper. 10–12…”

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

“…Additionally, the first‐order shear deformable and higher‐order shear deformable FGM plates stiffened by orthogonal and oblique stiffener systems subjected to external pressure, axial compression, and thermal load were also investigated and discussed 9–11 . The nonlinear dynamic responses of FGM structures were also considered in the nanoscale with the magnetostrictive effects 12 …”

“…[9][10][11] The nonlinear dynamic responses of FGM structures were also considered in the nanoscale with the magnetostrictive effects. 12 Due to the superiority in thermomechanical properties, nanoscale materials such as Carbon nanotubes 13 (CNTs) and double-walled boron nitride nanotubes 14 have been of particular interest in recent years. CNTs have been researched for improved composite manufacturing because they have superior heat conductivity than diamond and substantially higher mechanical tensile strength than steel.…”

Mechanical and vibrational study of raw and surface‐treated ramie fiber hybridized carbon fiber epoxy composites

“…In addition to mechanical properties studies, hybrid composites must also examine their dynamic response to ensure their safety in use. Several researchers [42][43][44][45][46][47] have used analytical and numerical approaches to perform vibrational analysis on composites, and a few researchers 48,49 have investigated the hybrid composites' mechanical and free vibrational studies using experimental methods. Thus, alkali-treated hybrid composite's free vibration studies and mechanical characteristics are vital to examine.…”