Rayleigh-Ritz variational method with suitable asymptotic behaviour [PDF]
Open Physics, 2014 We discuss Rayleigh-Ritz variational calculations with nonorthogonal basis sets that exhibit the correct asymptotic behaviour. We construct the suitable basis sets for general one-dimensional models and illustrate the application of the approach on two ...
Fernández Francisco, Garcia Javier
doaj +6 more sources
Investigation of Buckling Behaviors in Carbon Nanorings Using the Chebyshev–Ritz Method [PDF]
NanomaterialsCarbon nanorings (CNRs) serve as an ideal quantum system for novel electronic and magnetic properties. Although extensive theoretical studies utilizing molecular dynamics (MD) simulations have investigated the formation and structural characteristics of ...
Xiaobo Wang +6 more
doaj +2 more sources
Sensitivity study of load-dependent Ritz vectors on modal and seismic responses of cable stayed bridges [PDF]
Journal of Materials and Engineering Structures, 2020 In the present article, 3D Finite Element Model (FEM) of a bridge structure under load dynamics is performed in order to assess the sensitivity study of Load-Dependant Ritz vectors (LDR) on modal and seismic responses of cable stayed bridges.
Mouloud OUANANI +2 more
doaj +2 more sources
A Novel Approach for Lateral Buckling Assessment of Double Tapered Thin-Walled Laminated Composite I-Beams [PDF]
Mechanics of Advanced Composite Structures, 2022 The purpose of this paper is to introduce a simple and novel method for discussing the lateral-torsional stability of thin-walled symmetric balanced laminated beams with varying I-section.
Masoumeh Soltani
doaj +1 more source
Static Buckling of a Pre-loaded Complex Nano-composite Shell [PDF]
Journal of Mechanical Engineering, 2021 This paper describes a technique for analyzing the phenomenon of static buckling of a pre-loaded complex nano-composite shell. Most of the works devoted to the analysis of complex structures consider vibration processes, while the phenomenon of buckling ...
Kostiantyn V. Avramov +2 more
doaj +1 more source
Damage Detection of Bridge by Rayleigh-Ritz Method [PDF]
Journal of Rehabilitation in Civil Engineering, 2020 As a result of environmental and accidental actions, damage occurs in structures. The early detection of any defect can be achieved by regular inspection and condition assessment.
Mohammad Hasan Daneshvar +3 more
doaj +1 more source
Forced Vibration Responses of Axially Functionally Graded Beams by using Ritz Method [PDF]
Journal of Applied and Computational Mechanics, 2021 This work presents forced vibration responses of a cantilever beam made of functionally graded material under a harmonic load. The material properties of beam vary along the axial direction.
Şeref Doğuşcan Akbaş
doaj +1 more source
Strength of Steel Shell Cylindrical Panels Reinforced with an Orthogonal Grid of Stiffeners [PDF]
Journal of Applied and Computational Mechanics, 2022 The paper presents an approach to the strength analysis in steel cylindrical panels reinforced from the concave side with an orthogonal grid of stiffeners. A mathematical model of the Timoshenko (Mindlin – Reissner) type is used.
Alexey Semenov
doaj +1 more source
Finite element approximation of fractional hyperbolic integro-differential equation
AIMS Mathematics, 2022 In this article, we propose a Galerkin finite element method for numerically solving a type of fractional hyperbolic integro-differential equation, which can be considered as the generalization of the classical hyperbolic Volterra integro-differential ...
Zhengang Zhao +2 more
doaj +1 more source
Free in-plane vibration of heterogeneous nanoplates using Ritz method [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2016 In this paper, the Ritz method has been employed to analyze the free in-plane vibration of heterogeneous (non-uniform) rectangular nanoplates corresponding to Eringen’s nonlocal elasticity theory.
Shirko Faroughi +1 more
doaj +1 more source