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R-function method and variational method for the bending problem of functionally graded plates with fixed supports and complex shapes. [PDF]

Sci Rep
Su K, Li S.
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Inverse design of bistable composite laminates with switching tunneling method for global optimization. [PDF]

Commun Eng
Riley KS, Jhon MH, Le Ferrand H, Wang D, Arrieta AF.   +4 more
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Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm. [PDF]

Sci Rep
Köcher N, Rose H, Bharadwaj SS, Schumacher J, Schumacher S.   +4 more
europepmc   +1 more source

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Response using the Rayleigh‐Ritz method

Earthquake Engineering & Structural Dynamics, 1979
AbstractAs an example of the extension of the Rayleigh‐Ritz method to response calculations, analysis is outlined for a damped rectangular plate. For harmonic excitation amplitudes of displacement and bending moment are compared with values from a modal solution from the plate equation.
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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. Linear strain energy and nonlinear strain energy due to a uniform external pressure are formulated.
Senjanović, Ivo, Alujević, Neven, Ćatipović, Ivan, Čakmak, Damjan, Vladimir, Nikola, Cho, Dae-Seung   +5 more
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Rayleigh-Ritz Method

2013
This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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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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Successive Approximations by the Rayleigh-Ritz Variation Method

Physical Review, 1933
Approximate eigenvalues given by the Rayleigh-Ritz variation method for handling linear differential equations are examined and relations are established between the discrete eigenvalues obtained in successive approximations. These relations should be of use in practical computations.
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