Bifurcation analysis of an aeroelastic system with concentrated nonlinearities

Author(s)

Abdelkefi, Abdessattar ^[1] ; Vasconcellos, Rui ^[2] ; Marques, Flavio D. ^[2] ; Hajj, Muhammad R. ^[1]

Affiliation

^[1] Virginia Tech, Blacksburg, VA 24061 - USA

^[2] Univ Sao Paulo, Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: NONLINEAR DYNAMICS; v. 69, n. 1-2, p. 57-70, JUL 2012.
• Web of Science Citations: 17

Abstract

Analytical and numerical analyses of the nonlinear response of a three-degree-of-freedom nonlinear aeroelastic system are performed. Particularly, the effects of concentrated structural nonlinearities on the different motions are determined. The concentrated nonlinearities are introduced in the pitch, plunge, and flap springs by adding cubic stiffness in each of them. Quasi-steady approximation and the Duhamel formulation are used to model the aerodynamic loads. Using the quasi-steady approach, we derive the normal form of the Hopf bifurcation associated with the system's instability. Using the nonlinear form, three configurations including supercritical and subcritical aeroelastic systems are defined and analyzed numerically. The characteristics of these different configurations in terms of stability and motions are evaluated. The usefulness of the two aerodynamic formulations in the prediction of the different motions beyond the bifurcation is discussed. (AU)

• FAPESP's process: 07/08459-1 - Nonlinear aeroelastic time series analysis: an experimental study
• Grantee: Rui Marcos Grombone de Vasconcellos
• Support Opportunities: Scholarships in Brazil - Doctorate