Galerkin’s Method was not Developed by Ritz, Contrary to the Timoshenko’s Statement

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Advanced Structured Materials

Publication Status

Version of Record

Abstract

In the context of its title, this paper we discuss two letters sent to S. P. Timoshenko (1878–1972), as well as a letter of response sent by Timoshenko to Grigolyuk. B. G. Galerkin (1871–1945) is the author of the first letter to S. P. Timoshenko. Second letter to him is by E. I. Grigolyuk. The letters are concerned with the method known as the Galerkin method (in the West), or the Bubnov-Galerkin method or the Bubnov method (in Russia). The letters are fully reproduced here in English translation. Their originals in Russian language are stored at the Timoshenko Archive at Stanford University. The copies of the originals are also obtainable from the authors. Galerkin’s letter appears to be the only document until now where B. G. Galerkin relates to this method, apart from his 1915 paper. The author of the second letter is E. I. Grigolyuk (1923–2005). Grigolyuk suggests to Timoshenko to co-author a paper on the priority associated with the Galerkin method, claiming that it belongs solely to I. G. Bubnov (1872–1919). Although a joint paper by Timoshenko and Grigolyuk was never written, Timoshenko expressed an interest in such an endeavor. These correspondents, namely, B. G. Galerkin, S. P. Timoshenko, and E. I. Grigolyuk have made important contributions to theoretical and applied mechanics of the last century, and their interaction appears to be of interest to the mechanics community. This paper is devoted to their correspondence concerning the priority of authorship, that was questioned by both S. P. Timoshenko and E. I. Grigolyuk, albeit in a different manner.

First Page

63

Last Page

82

DOI

10.1007/978-3-030-53006-8_5

Publication Date

1-1-2021

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