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Vibration of Rectangular Plates by the Ritz Method
Journal of Applied Mechanics, 1950Abstract Ritz’s method is one of several possible procedures for obtaining approximate solutions for the frequencies and modes of vibration of thin elastic plates. The accuracy of the results and the practicability of the computations depend to a great extent upon the set of functions that is chosen to represent the plate deflection.
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Collocation, Galerkin, and Rayleigh–Ritz Methods
2019Weighted 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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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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Dynamic Analysis of a Fiber-Reinforced Composite Beam under a Moving Load by the Ritz Method
Mathematics, 2021Hakan Ersoy, Bekir Akgöz, Ömer Civalek
exaly
Discrete Ritz method for buckling analysis of arbitrarily shaped plates with arbitrary cutouts
Thin-Walled Structures, 2023Zhao Jing
exaly