Influence of boundary conditions on the natural frequencies and the stability regions of the hydraulic pipes

Jan Łuczko,

Andrzej Czerwiński

Abstrakt

The paper is concerned with the analysis of a model describing the transverse vibrations induced by periodically variable fluid flow. Motion of the system was described by using partial differential equations with periodically variable coefficients. The analysis was performed by Galerkin method and orthogonal polynomials as shape functions. The instability regions were determined by Floquet theory. The influence of several parameters and boundary conditions on the natural frequencies and the instability regions were investigated.

Słowa kluczowe: hydraulic systems, flow-induced vibration, parametric resonance