Results 201 to 210 of about 166,550 (244)

The Rayleigh-Ritz Method: A Graphical Proof

American Journal of Physics, 1969
We give a simple graphical proof for the Rayleigh-Ritz variational method for simultaneously obtaining upper bounds to the n lowest eigenvalues of a Hermitean operator.
J. Flores, P. A. Mello
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Buckling analyses of functionally graded graphene-reinforced porous cylindrical shell using the Rayleigh–Ritz method

Acta Mechanica, 2020
D. Shahgholian, M. Safarpour, A. Rahimi, A. Alibeigloo   +3 more
semanticscholar   +1 more source

On the Rayleigh-Ritz Method, Gorman's Superposition Method and the exact Dynamic Stiffness Method for vibration and stability analysis of continuous systems

, 2021
Y. Mochida, S. Ilanko
semanticscholar   +1 more source

Application of shifted Chebyshev polynomial-based Rayleigh–Ritz method and Navier’s technique for vibration analysis of a functionally graded porous beam embedded in Kerr foundation

Engineering computations, 2020
S. Jena, S. Chakraverty, M. Malikan
semanticscholar   +1 more source

Das Verfahren von Rayleigh‐Ritz mit hermiteschen Interpolationspolynomen

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1963
AbstractDie Aufstellung von zulässigen oder Vergleichsfunktionen für das Ritzsche Verfahren wird erheblich vereinfacht, wenn man hermitesche Interpolationspolynome benutzt. Für Differentialgleichungen mit konstanten Koeffizienten werden fertige Integrationsmatrizen angegeben, so daß die ganze Methode auf bloße Matrizenmultiplikationen hinausläuft und ...
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Une généralisation de l'approximation de Rayleigh–Ritz

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001
Resume Cette Note est consacree a l'etude de l'approximation de Rayleigh–Ritz appliquee a des sous-espaces vectoriels. En depit du fait que l'approximation de Rayleigh–Ritz n'est pas optimale, elle est frequemment employee dans les applications numeriques. Nous donnons une estimation d'erreur a priori generalisant les resultats obtenus par Y. Saad et
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Collocation, Galerkin, and Rayleigh–Ritz Methods

2019
Weighted residual methods (WRM) (also called Petrov-Galerkin methods) provide simple and highly accurate solutions of BVPs. Collocation, Galerkin, and Rayleigh–Ritz methods are examples of the WRMs.
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Modified Fourier Series and Rayleigh-Ritz Method

2015
Although the governing equations and associated boundary equations for laminated beams, plates and shells presented in Chap. 1 show the possibility of seeking their exact solutions of vibration, however, it is commonly believed that very few exact solutions are possible for plate and shell vibration problems.
Guoyong Jin, Tiangui Ye, Zhu Su
openaire   +1 more source

The Rayleigh-Ritz and Trefftz Methods

1981
The Rayleigh-Ritz method belongs to the so-called direct methods of the calculus of variations, inasmuch as it is applied to problems formulated in an integral rather than a conventional, that is, differential, form. More often than not, the procedure involves the minimization of integrals containing unknown functions and their derivatives, without ...
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Simulating vibration of single-walled carbon nanotube using Rayleigh-Ritz's method

, 2020
M. Hussain, M. Naeem, M. Taj, A. Tounsi
semanticscholar   +1 more source