INSTABILITY ONSET OF RECTANGULAR PRISMATIC BEAMS IN THE WIND FLOW

Abstract cze:
Abstrakt: This paper describes a part of theoretical and experimental research dealing with the problem of the aeroelastic instability onset of slender rectangular beams in the air stream. The fluid-structure interaction response is modeled using two degrees-of-freedom system oscillating in the potential flow. The coupling of the translation and rotation is due to nonconservative and gyroscopic forces. The linearized differential equations of motion are solved qualitatively and the solution is analyzed in the frequency plane. Numerical solution of four examples is based on the aerodynamics lift and moments that are expressed by means of Theodorsen's circulatory function. Solution is given in the form of frequencies of the aeroelastic modes and the critical flutter velocity. A mechanical model of a structure with adjustable parameters has been designed in order to compare the theoretical results with forthcoming experiments in the wind tunnel.

Abstract eng:
Abstract: This paper describes a part of theoretical and experimental research dealing with the problem of the aeroelastic instability onset of slender rectangular beams in the air stream. The fluid-structure interaction response is modeled using two degrees-of-freedom system oscillating in the potential flow. The coupling of the translation and rotation is due to nonconservative and gyroscopic forces. The linearized differential equations of motion are solved qualitatively and the solution is analyzed in the frequency plane. Numerical solution of four examples is based on the aerodynamics lift and moments that are expressed by means of Theodorsen's circulatory function. Solution is given in the form of frequencies of the aeroelastic modes and the critical flutter velocity. A mechanical model of a structure with adjustable parameters has been designed in order to compare the theoretical results with forthcoming experiments in the wind tunnel.

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