Vibrational investigation of the spinning bi-dimensional functionally graded (2-FGM) micro plate subjected to thermal load in thermal environment

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

“…Ghadiri and Safarpour (2016) examined free vibrational behavior of a magneto-electro-elastic cylindrical nanoshell under magnetic, electrical, and thermal loadings based on the modified couple stress theory. Mahinzare et al (2017a) discussed about the natural frequencies of the spinning (2-FGM) microplate subjected to thermal load. Wang et al (2016) reported the effect of thermal conditions on nonlinear vibrational behavior of an electrostatically actuated circular micro/nanoplate, based on the modified couple stress and surface elasticity.…”

Nonlinear Static Bending and Free Vibration Analysis of Bidirectional Functionally Graded Material Plates

“…There are many works that have investigated the mechanical behaviors of one-direction [1][2][3][4][5][6] and twodirection FGM plates [7][8][9][10][11][12][13][14][15][16][17] (called FGM and 2D-FGM plates); the 2D-FGM plates with the volume fraction exponents are the power-law distributions in the longitudinal and thickness directions. Scientists also paid much attention to nonlinear static bending and free vibration analysis of FGM plates based on several plate theories.…”

“…Esmaeilzadeh and Kadkhodayan [13] investigated dynamic responses of the bidirectional FGM porous plate structure; the solution was based on a dynamic relaxation method and a structure with moving loads. Mahinzare et al [14] calculated the free vibration of a bidimensional functionally graded microplate by using a numerical method, while the structure rested on a Winkler-Pasternak foundation under the thermal load, in which temperature-dependent mechanical properties varied gradually in the thickness and radial direction of the plate. Lieu and Lee [15] considered taking the material optimization method into the free vibration analysis of multidirectional FGM plates based on the IGA method.…”

Magnetic field effect on free vibration of smart rotary functionally graded nano/microplates: A comparative study on modified couple stress theory and nonlocal elasticity theory

“…In analytical approach, classical deformation theories could not describe the mechanical response of micro/nanoscale structures (i.e. micro/nanoshells (Mahinzare et al, 2017b; Mohammadi et al, 2017, 2018) and plates (Mahinzare et al, 2017a; Shojaeefard et al, 2017, 2018)) correctly; however, higher-order elasticity theories such as the couple stress and the nonlocal elasticity theory (NET) in conjunction with the classical ones would lead to a more accurate prediction for the mechanical behavior of micro/nanoscale structures (Koiter, 1969; Kolahchi, 2017; Mindlin, 1964; Mindlin and Tiersten, 1962; Shafiei et al, 2017; Shafiei and Kazemi, 2017; Toupin, 1962). In higher-order theories, some independent length-scale parameters are usually introduced as additional parameters to the classical formulations.…”