NDLI: Analysis of limit cycle oscillations of a typical airfoil section with freeplay

Content Provider	Springer Nature Link
Author	Zhang, Si Jin Wen, Gui Lin Peng, Fan Liu, Zi Qiang
Copyright Year	2013
Abstract	A typical airfoil section system with freeplay is investigated in the paper. The classic quasi-steady flow model is applied to calculate the aerodynamics, and a piecewise-stiffness model is adopted to characterize the nonlinearity of the airfoil section’s freeplay. There are two critical speeds in the system, i.e., a lower critical speed, above which the system might generate limit cycle oscillation, and an upper critical one, above which the system will flutter. Then a Poincaré map is constructed for the limit cycle oscillations by using piecewise-linear solutions with and without contact in the system. Through analysis of the Poincaré map, a series of equations which can determine the frequencies of period-1 limit cycle oscillations at any flight velocity are derived. Finally, these analytic results are compared to the results of numerical simulations, and a good agreement is found. The effects of freeplay value and contact stiffness ratio on the limit cycle oscillation are also analyzed through numerical simulations of the original system. Moreover, there exist multi-periods limit cycle oscillations and even complicated “chaotic” oscillations may occur, which are usually found in smooth nonlinear dynamic systems.
Starting Page	583
Ending Page	592
Page Count	10
File Format	PDF
ISSN	05677718
Journal	Acta Mechanica Sinica
Volume Number	29
Issue Number	4
e-ISSN	16143116
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-08-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Freeplay nonlinearity Typical airfoil section Limit cycle oscillations Poincaré map Theoretical and Applied Mechanics Classical Continuum Physics Engineering Fluid Dynamics Computational Intelligence
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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