MECHANICS

Applying adjustment factors in Rayleigh method to calculate vibrations principal frequency of a shell with rectangular cross-section

G. T. Dzebisashvili

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: The applying of adjustment factors in Rayleigh method to calculate vibrations principal frequency of a shell with rectangular cross-section is considered in the paper. Behavior patterns of the adjustment factors are generalized. Relationship between the adjustment factors and properties of the approximate formulae is analyzed.

Keywords: vibrations, cylindrical shell, Rayleigh method, adjustment factor.

UDC: 534.1:539.3

MSC: 74K25, 74H45

Received: 14.04.2021
Revised: 13.06.2021
Accepted: 17.07.2021

DOI: 10.21638/spbu01.2021.410

 English version: Vestnik St. Petersburg University, Mathematics, 2021, 8:4, 400–404