This article is cited in 12 papers

Problem of eigen-vibrations of a rectangular plate with mixed border conditions

S. D. Algazin^a, I. A. Selivanov<sup>b

a</sup> Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia
^b Lomonosov Moscow State University, 119991, Moscow, Russia

Abstract: Natural vibrations of a rectangular plate with two pinched and two freely supported edges. The Bubnov method – Galerkin methods are used to obtain the first eigenvalues, and one of the test functions has its first eigenvalue calculated with an error smaller than 1%. Comparison with known results is carried out, with eigenforms given.

Keywords: biharmonic equation, free vibrations of a plate, method Bubnova–Galerkina, computational experiment.

UDC: 539.3:534.1

Received: 21.04.2020
Revised: 03.06.2020
Accepted: 29.06.2020

DOI: 10.15372/PMTF20210207

 English version: Journal of Applied Mechanics and Technical Physics, 2021, 62:2, 238–244

Bibliographic databases:

•