Stochastic vibration and buckling analysis of functionally graded microplates with a unified higher-order shear deformation theory

Vibration and buckling optimization of functionally graded porous microplates using BCMO-ANN algorithm

“…] 𝑇 is the displacement vector to be determined; 𝐊 = 𝐊 𝜀 + 𝐊 𝜒 is the stiffness matrix which consists of the strains 𝐊 𝜀 and the symmetric rotation gradients 𝐊 𝜒 ; 𝐌 is the mass matrix. The components of stiffness matrix and mass matrix are defined in details in [25]. Furthermore, it is worthy to note that for buckling analysis, the critical buckling loads of the FGP plate can be obtained from Eq.…”

“…Another way to investigate the size effects is to use the modified couple stress theory (MCT) or modified strain gradient theory (MST). These theories have been employed to predict the behaviors of isotropic and functionally graded microplates with various displacement fields [15][16][17][18][19][20][21][22][23][24][25][26][27]. Literature shows that the study of size effects on static and dynamic responses of FGP microplates is still limited.…”

Static and vibration analysis of functionally graded microplate with porosities based on higher-order shear deformation and modified strain gradient theory

“…As a result, five unknowns of the plate only depend on two shape functions. It should be noted that the accuracy, convergence rates and numerical instabilities of the Ritz solution depends on the selection of the shape functions, which was discussed in details in [27][28][29][30][31][32]. The functions R i (x 1 ) and P j (x 2 )…”

Analysis of vibro-acoustic characteristics of functionally graded sandwich microplates under thermal-electric effects

“…Civalek and Akgöz (2013) analyzed the vibration of micro-scaled sector shaped graphene surrounded by an elastic matrix. By using a unified HSDT and stochastic collocation method, Tran et al (2023) studied the thermal buckling and vibration behaviors of FG sandwich microplates. Han et al (2022) established the model of size-dependent magnetoelectroelastic plates based on the MSGT, and analyzed the influences of size effect, mechanical-electric-magnetic coupling loads, and Pasternak foundation on the bending properties of the structure.…”