Results 191 to 200 of about 166,550 (244)

Nonlinear dynamics analysis of a graphene laminated composite plate based on an extended Rayleigh–Ritz method

Thin-walled structures, 2023
Xiangying Guo, Yanmei Zhang, Zhong Luo, D. Cao   +3 more
semanticscholar   +1 more source

A wave and Rayleigh–Ritz method to compute complex dispersion curves in periodic lossy acoustic black holes

Journal of Sound and Vibration, 2022
Jie Deng, Yuxin Xu, O. Guasch, Nansha Gao, Liling Tang, Wenjie Guo   +5 more
semanticscholar   +1 more source

Nullspace technique for imposing constraints in the Rayleigh–Ritz method

Journal of Sound and Vibration, 2022
Jie Deng, Yuxin Xu, O. Guasch, Nansha Gao, Liling Tang   +4 more
semanticscholar   +1 more source

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.
openaire   +1 more source

The Extended Rayleigh–Ritz Method for Higher Order Approximate Solutions of Nonlinear Vibration Equations

Aerotecnica Missili & Spazio, 2023
R. Wu, Ji Wang
semanticscholar   +1 more source

Rayleigh-Ritz vibration analysis of Mindlin plates

Journal of Sound and Vibration, 1980
Abstract The Rayleigh-Ritz method is applied to the prediction of the natural frequencies of flexural vibration of square plates having general boundary conditions. The analysis is based on the use of Mindlin plate theory so that the effects of shear deformation and rotary inertia are included.
Dawe, D. J., Roufaeil, O. L.
openaire   +2 more sources

A Parallelized Contour Integral Rayleigh–Ritz Method for Computing Critical Eigenvalues of Large-Scale Power Systems

IEEE Transactions on Smart Grid, 2018
A contour integral based spectrum transform (CIST) is first introduced for computing critical eigenvalues of power systems. Different from commonly-used shift-invert and Cayley transforms, CIST is able to give equal dominance to the eigenvalue set in a ...
Yongjie Li, Guangchao Geng, Q. Jiang
semanticscholar   +1 more source

A moment equation reformulation of Rayleigh - Ritz theory

Journal of Physics A: Mathematical and General, 1996
Summary: We present a moment equation Rayleigh-Ritz (RR) variational theory for the ground-state energy. An extended Fourier transform space can be defined through the moment equation corresponding to a given Schrödinger Hamiltonian. Within this extended space, we can implement a variational ansatz with respect to configurations of the form ...
openaire   +2 more sources

Rayleigh-Ritz Method for Plate Flexure

Journal of the Engineering Mechanics Division, 1967
A method is presented for obtaining two-dimensional plate element displacement functions which may allow continuity in any required derivative of the displacement parameter. These functions for slope and curvature continuity are used to obtain the load deflection characteristics of square plates simply supported or built-in along their edges.
openaire   +1 more source

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.
openaire   +1 more source