Rigorous versus naïve implementation of the Galerkin method for stepped beams

Author:

Elishakoff Isaac,Ankitha Arvan Prakash,Marzani Alessandro

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference26 articles.

1. Galerkin, B.G.: Sterzhni i plastiny. Ryady v nekotorykh voprosakh uprugogo ravnovesiya sterzhnei i plastin (Rods and plates series occuring in some problems of elastic equilibrium of rods and plates), Vestnik Inzhenerov i Tekhnikov, Petrograd, Vol. 19, pp. 897–908 (1915) (in Russian) (English Translation: 63-18925, Clearinghouse Fed. Sci. Tech. Info. 1963)

2. Ritz, W.: Über eine neue Methode zur Lösung gewisser Randwertaufgaben. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch - Physikalische Klasse 236–248, 1908 (1908). (in German)

3. Michlin, S.G.: The Numerical Performance of Variational Methods. Wolters-Noordhoff Publishing, Groningen (1971)

4. Leipholz, H.H.E.: Use of Galerkin’s method for vibration problems. Shock Vib. Dig. 8, 3–18 (1976)

5. Elishakoff, I., Lee, L.H.N.: On equivalence of the Galerkin and Fourier series methods for one class of problems. J. Sound Vib. 109, 174–177 (1986)

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