Analytical solutions of functionally graded piezoelectric circular plates subjected to axisymmetric loads

Three-dimensional magneto-elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations

“…The DQ method is originated from the idea of the conventional integral quadrature and approximates derivatives of the given function at any discretization point by a weighted linear summation of the function values in the whole domain [46]. For example the nth-order derivatives of the function ( (27) and the weighting coefficients matrix of the second-order derivative may be written as follows (2) (2) 1,…”

“…Engineering analysis models of many structural elements may be considered directly or through employing some geometric simplifications (e.g., omitting the gear teeth of a flywheel) as homogeneous, heterogeneous [1,2] or even intelligent [3] circular plates. In many applications, these plates may be supported by non-uniform elastic foundations (e.g., in the clutch systems) or subjected to asymmetric normal and shear tractions (e.g., in disc brakes).…”

Three-Dimensional Piezoelectricity Solutions for Uniformly Loaded Circular Plates of Functionally Graded Piezoelectric Materials With Transverse Isotropy

“…They are actually semianalytical solutions which cannot express the physical quantities explicitly [13][14][15][16][17]26]. Although some solutions are exact, however they are valid only for a specific FGPM model, i.e., the material coefficients varying exponentially in the same way [22][23][24][25][26][27][28]. The treatment that properties of FGPM obey the same function, renders a mathematical simplicity, but is totally unrealistic.…”

Transient Response Analysis for a Circular Sandwich Plate with an FGM Central Disk

“…Birschetto and Carrera [19] gave a static analysis of a single-layered FGPM plate. Based on the threedimensional theory of piezoelectricity, Wang et al [20] investigated the axisymmetric bending of a circular plate whose material properties vary along the thickness. Resorting to the Fourier series expansions and state-space method, Alibeigloo [21] presented analytical solutions for the temperature, stress and displacement fields for an FGM host plate with simply supported edges under applied electrical and thermal or mechanical loads.…”