Geometrically nonlinear analysis of thin circular plates on Winkler elastic foundations has been studied in this paper. The nonlinear partial differential equations obtained from von Karman’s large deflection plate theory have been solved by using the discrete singular convolution (DSC) in the space domain and the harmonic differential quadrature (HDQ) method in the time domain.

In this paper, a machine-learning model is utilized to estimate the temperature-dependent moduli of neat, thermally reduced graphene and covalently functionalized graphene/epoxy nanocomposites. addition, governed mathematical expressions have been used solve buckling problem beams fabricated from such nanocomposites in presence thermal gradient. order do so, an energy-based method including she...

In this paper, a refined plate theory is applied to investigate the free vibration analysis of functionally graded nanocomposite sandwich plates reinforced by randomly oriented straight carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses only four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, and satis...

Convergence studies for the static analysis of thin plates resting on Pasternak foundations is performed. The are discretized using two different finite elements, formulations which based Kirchhoff and Reissner-Mindlin plate theories. shear locking problem arises when full integration used in element implementation theory eliminated with selective integration. foundation accounted by adding par...

The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. finite element method based the modified couple stress theory used to derive formulations. present and mathematical model are validated by comparisons work’s results with those other reputable publications, which show a very good agreement. influences length-scal...

Recently, the stability calculation of functionally graded (FG) plate has attracted many scientists, especially when considering FG with cracks. In this work, is made from a new generation composite material consisting two components, ceramic and metal, law continuous exponential distribution. The placed on Winkler - Pasternak elastic foundation background parameters. Then, we used third-order ...