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Modified Fourier Series and Rayleigh-Ritz Method
2015Although 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
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The Rayleigh-Ritz and Trefftz Methods
1981The 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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Nullspace technique for imposing constraints in the Rayleigh–Ritz method
Journal of Sound and Vibration, 2022Jie Deng, Oriol Guasch, Nan-Sha Gao
exaly
Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials
SIAM Journal on Numerical Analysis, 1966Birkhoff, G. +3 more
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