Steady self-sustained vibrations of structures with two-side flowing of potential gas sream

Authors

  • К. В. Аврамов Institute of Problems of Mechanical Engineering. AN Podgorny NAS, Ukraine
  • Ю. В. Михлин National Technical Institute "Kharkiv Polytechnic Institute", Ukraine
  • В. Н. Романенко A.N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine, Ukraine
  • А. А. Киреенков Institute of Mechanics RAS, Russian Federation

Abstract

Thin-walled structures with geometrical nonlinearity flowing by potential gas stream are analyzed. The method for stability and bifurcations analysis of such systems is investigated. The basis of this approach is solution of the singular integral equations with respect to aerodynamic derivatives of the pressure drop. Using the Bubnov-Galerkin method, the nonlinear dynamical system with respect to the plate general coordinates is derived. The combination of the shooting technique and continuation method is used to analyze bifurcations and stability of the self-sustained vibrations.

Author Biographies

К. В. Аврамов, Institute of Problems of Mechanical Engineering. AN Podgorny NAS

Doctor of Technical Sciences

Ю. В. Михлин, National Technical Institute "Kharkiv Polytechnic Institute"

Doctor of physical and mathematical science

А. А. Киреенков, Institute of Mechanics RAS

Candidate of physical and mathematical science

Published

2015-08-06

Issue

Section

Dynamics and Strength of Machines