Free Vibrations of Circular Cylindrical Shells with a Small Added Concentrated Mass
G. S. Leizerovich†, S. V. Seregin
Komsomolsk-on-Amur State Technical University, Komsomolsk-on-Amur, 681013 Russia
Keywords: круговая цилиндрическая оболочка, присоединенная масса, изгибно-радиальные колебания, расщепление изгибного частотного спектра, circular cylindrical shell, added mass, bending-radial vibrations, splitting of bending frequency spectrum
Abstract
The effect of a small added mass on the frequency and shape of free vibrations of a thin shell are studied using shallow shell theory. The proposed mathematical model assumes that mass asymmetry even in a linear formulation leads to coupled radial bending vibrations. The interaction of shape-forming waves is studied using modal equations obtained by the Bubnov-Galerkin method. Splitting of the bending frequency spectrum is found which is caused not only by the added mass, but also shell wave-formation parameters. The ranges of the relative lengths and shell thicknesses are determined in which the interaction of bending and radial vibrations can be ignored.
DOI: 10.1134/S0021894416050102
|
