Premium
Response using the Rayleigh‐Ritz method
Author(s) -
Warburton G. B.
Publication year - 1979
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290070404
Subject(s) - rayleigh–ritz method , eigenvalues and eigenvectors , mathematical analysis , bending moment , modal , mathematics , displacement (psychology) , ritz method , rayleigh scattering , amplitude , modal analysis , harmonic , bending , structural engineering , vibration , physics , engineering , acoustics , materials science , boundary value problem , optics , psychology , quantum mechanics , polymer chemistry , psychotherapist
As 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. In general, the Rayleigh‐Ritz method predicts displacements of acceptable accuracy, but for a given number of terms accuracy is less for response calculations than for the determination of comparable eigenvalues. Bending moments may converge slowly to the true values, as the number of terms in the assumed series is increased.