In this work, we study the vibration and bending response of functionally graded graphene platelets reinforced composite (FG-GPLRC) rectangular plates embedded on different substrates thermal conditions. The governing equations problem along with boundary conditions are determined by employing minimum total potential energy Hamilton’s principle, within a higher-order shear deformation theoretic...

We investigate recovery of through-the-thickness transverse normal and shear strains and stresses in statically deformed functionally graded (FG) doubly-curved sandwich shell structures and shells of revolution using the generalized zigzag displacement field and the Carrera Unified Formulation (CUF). Three different through-the-thickness distributions of the volume fractions of constituents and...

In a previous work, we have introduced the generalized differential quadratic method (called GDQ) to handle the Schrödinger equation. This paper deals with a particular situation in which an application to the non polynomial potential is considered. The results are compared with some numerical examples for the same potential of interest.

Free vibration characteristics of continuous grading fiber orientation (CGFO) beams resting on variable Winkler and two-parameter elastic foundations have been studied. The beam is under different boundary conditions and assumed to have arbitrary variations of fiber orientation in the thickness direction. The governing differential equations for beam vibration are being solved using Generalized...

In the present paper, a novel unconstrained higher-order theory (UCHOT) is applied to analyse free vibration of cylindrical sandwich shells with nanocomposite face sheets reinforced graphene platelets. UCHOT considers shear and thickness deformations. It assumed that cylinder includes soft core which embedded between functionally graded platelets composites (FG-GPLRC). FG-GPLRC sheet consists s...

in this paper, eringen’s nonlocal elasticity and timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  the governing equations and the boundary conditions are derived using hamilton’s principle. a generalized differential quadrature method (gdqm) is utilized for solving the governing equations of non-uniform timoshenko nano-beam for pinned-pinned...

The article proposes an Equivalent Single Layer (ESL) formulation for the linear static analysis of arbitrarily-shaped shell structures subjected to general surface loads and boundary conditions. A parametrization physical domain is provided by employing a set curvilinear principal coordinates. generalized blending methodology accounts distortion structure so that disparate geometries can be co...

Let K be a multivalued map from the interval [0, 1] to R. On its graph, denoted by Gr(K), another multivalued map F is defined. Its values are closed subsets of R. The map F , called an orientor field, gives rise to a differential inclusion ẋ(t) ∈ F (t, x(t)). The inclusion is called viable, if for every (t0, x0) ∈ Gr(K) there is a global absolutely continuous forward trajectory x : [t0, 1] → R...

In this paper the nano conical shell model is developed based on modified strain gradient theory. The governing equations of the nano truncated conical shell are derived using the FSDT, and the size parameters through modified strain gradient theory have been taken into account. Hamilton’s principle is used to obtain the governing equations, and the shell’s equations of motion are derived with ...