TY - JOUR TI - Influence of boundary conditions on the natural frequencies and the stability regions of the hydraulic pipes AU - Łuczko, Jan AU - Czerwiński, Andrzej TI - Influence of boundary conditions on the natural frequencies and the stability regions of the hydraulic pipes AB - 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. VL - 2012 IS - Mechanika Zeszyt 8-M (22) 2012 PY - 2012 SN - 0011-4561 C1 - 2353-737X SP - 71 EP - 89 DO - 10.4467/2353737XCT.14.042.1819 UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/influence-of-boundary-conditions-on-the-natural-frequencies-and-the-stability-regions-of-the-hydraulic-pipes KW - hydraulic systems KW - flow-induced vibration KW - parametric resonance