Ritz method

Buckling and postbuckling behaviors of porous functionally graded graphene platelets-reinforced composite (porous FG-GPLRC) cylindrical shells with stiffeners subjected to external pressures are presented in this paper. Three distribution types of porosity in the shells are considered. The smeared technique for stiffeners is employed to model the mechanical behaviors of the stiffened shells.

13p viengfa 28-10-2024 4 2   Download

An analytical approach for nonlinear buckling of functionally graded graphene platelet reinforced composite toroidal shell segments is presented in this paper. The Ritz energy procedure is executed, and radial pressure– deflection expression is constituted to obtain the postbuckling strength and critical buckling pressure of the shells.

7p viengfa 28-10-2024 3 1   Download

This study introduces a novel Ritz approximation function to analyze the free vibrations of laminated composite shallow curved beams. The methodology utilizes polynomial functions-based Fibonacci series to develop the Ritz’s approximation function. The displacement field aligns with the high-order shear deformation theory designed explicitly for shallow curved beams.

18p viyoko 01-10-2024 5 1   Download

In this paper, the bending and warping shears are considered. The main novelty of this paper is to apply a Ritz solution for the buckling analysis of thin-walled composite beams. The governing equations are derived by using Lagrange’s equations.

11p vifilm 24-09-2024 4 1   Download

This paper aims to present thermo-electrical free vibration characteristics of functionally graded material (FGM) sandwich beam placed on the two-parameter elastic foundation. The beam is constructed of a foam core, two middle FGM layers, and two outer piezoelectric layers.

14p vifilm 24-09-2024 2 1   Download

In this study, the Ritz variational method is used to analyze and solve the bending problem of rectangular functionally graded material plate with general boundary conditions and subject to some types of load distribution over the entire plate domain. Based on the Kirchoff plate theory, the equilibrium equations are obtained by minimizing the total potential energy.

12p viyoko 24-09-2024 2 1   Download

Objectives of the thesis: The literature review on the behaviours of composite beams shows that Ritz method is efficient to analyse the behaviours of composite beams with various boundary conditions, however, the number of researches used this method is still limited.

203p monsterhunterer 20-06-2021 7 2   Download