Results 181 to 190 of about 166,550 (244)

RAYLEIGH-RITZ ANALYSIS OF SANDWICH BEAMS

Journal of Sound and Vibration, 2001
Abstract The paper discusses the possibility of predicting the dynamic behaviour, in terms of modal frequencies and loss factors, of sandwich beams with a constrained viscoelastic layer configuration. The problem is approached by the Rayleigh–Ritz method so that virtually any boundary condition can be dealt with by applying a single procedure. Simple
FASANA, ALESSANDRO, MARCHESIELLO, STEFANO   +1 more
openaire   +1 more source

Free vibration and buckling analysis of elastically supported transversely inhomogeneous functionally graded nanoplate in thermal environment using Rayleigh–Ritz method

Journal of Vibration and Control, 2020
In this study, free vibration and buckling behaviors of a functionally graded nanoplate supported by the Winkler–Pasternak foundation using a nonlocal classical plate theory are investigated.
P. Singh, M. S. Azam
semanticscholar   +1 more source

Free vibration analysis of rotating thin-walled cylindrical shells with hard coating based on Rayleigh-Ritz method

, 2020
This paper focuses on the free vibration analyses of the rotating hard-coating cylindrical shells with various boundary conditions and the effects of hard coating on the vibration behaviors of the rotating shells.
Dongxu Du, Wei Sun, Xianfei Yan, Kunpeng Xu   +3 more
semanticscholar   +1 more source

A Domain Decomposition Rayleigh-Ritz Algorithm for Symmetric Generalized Eigenvalue Problems

SIAM Journal on Scientific Computing, 2020
This paper proposes a parallel domain decomposition Rayleigh--Ritz projection scheme to compute a selected number of eigenvalues (and, optionally, associated eigenvectors) of large and sparse symme...
V. Kalantzis
semanticscholar   +1 more source

Improvement of Rayleigh–Ritz Eigenfunctions

SIAM Review, 1972
A common method of obtaining approximate eigenfunctions of a linear boundary value problem, $H\psi = E\psi $ and homogeneous linear boundary conditions, is the Rayleigh–Ritz method. We consider here the case where $\psi $ is expanded as $\psi = \sum _1^N {c_n w_n } $ and the $w_n $ are solutions of a “standard” problem, with the same boundary ...
openaire   +2 more sources

Exploring the Rayleigh-Ritz Variational Principle

Journal of Chemical Education, 1998
The particle-in-a-box (PIB) system is used as a simple example in order to illustrate the basis of the quantum variational principle. After the general exposition of the variational principle demonstration, a quadratic polynomial trial function is applied to the PIB hamiltonian and the different steps of the demonstration are followed and reproduced ...
Emili Besalú, Josep Martí
openaire   +1 more source

On the use of Chebyshev polynomials in the Rayleigh-Ritz method for vibration and buckling analyses of circular cylindrical three-dimensional graphene foam shells

, 2019
This study aims to perform free vibration and buckling analyses of circular cylindrical shells made of three-dimensional (3D) graphene foam. Three kinds of porosity distribution are considered including two kinds of symmetrical distribution and uniform ...
Chaochao Ye, Y. Wang
semanticscholar   +1 more source

Buckling Analysis of Toroidal Shell by Rayleigh-Ritz Method

Journal of Pressure Vessel Technology, 2019
The energy approach is used to analyze the buckling stability of toroidal shells. A closed and an open toroidal shell, as well as a shell segment are considered.
I. Senjanović, N. Alujevic, I. Čatipović, D. Čakmak, N. Vladimir, D. Cho   +5 more
semanticscholar   +1 more source

Dynamic Condition Estimation and Rayleigh–Ritz Approximation

SIAM Journal on Matrix Analysis and Applications, 1994
The Rayleigh-Ritz approximation method is applied to dynamic condition estimation. It is used as a common framework from which many condition estimators can be viewed. This framework leads to natural generalizations of existing dynamic condition estimators as well as more convenient alternatives. Some numerical examples are provided.
openaire   +1 more source

Some multipoint extensions of the Rayleigh–Ritz inequality

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985
SynopsisWe obtain the best constants for multipoint extensions of the Rayleigh–Ritz inequality, and use our results to find good upper bounds for the constants involved in the standard spline approximation and interpolation error bound theory.
Brown, Richard C., Vrkoc, Ivo
openaire   +2 more sources