Farbod Alijani

TL;DR: In this paper, a review of geometrically non-linear free and forced vibrations of shells made of traditional and advanced materials is presented, including closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials.

TL;DR: In this paper, the Galerkin method was used to reduce the nonlinear forced vibrations of FGM doubly curved shallow shells with a rectangular base to a system of infinite nonlinear ordinary differential equations with quadratic and cubic nonlinearities.

TL;DR: In this article, the effect of temperature variations as well as volume fraction exponent is discussed and it is illustrated that thermally deformed FGM plates have stronger hardening behaviour; on the other hand, the effect is not significant, but modal interactions may rise in thermally deformable FGM plate that could not be seen in their undeformed isotropic counterparts.

TL;DR: A contactless method to extract the Young’s modulus of 2D materials from the nonlinear dynamic response of these nanomechanical resonators is developed and provides a platform for high-frequency characterization of the mechanical properties of2D materials.

TL;DR: In this article, the effects of FGM power law index, thickness ratio and temperature variations on the frequency-amplitude nonlinear response are fully discussed and it is revealed that, for relatively thick and deep shells, the Amabili-Reddy theory which retains all the nonlinear terms in the in-plane displacements gives different and more accurate results.