NDLI: Vibration Analysis of a Nonlinear System With Cyclic Symmetry

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Grolet, Aure´lien Thouverez, Fabrice
Copyright Year	2010
Abstract	This work is devoted to the study of non linear dynamics of structures with cyclic symmetry under geometrical nonlinearity using the harmonic balance method (HBM). In order to study the influence of the non-linearity due to large deflection of blades a simplified model has been developed. It leads to nonlinear differential equations of the second order, linearly coupled, in which the nonlinearity appears by cubic terms. Periodic solutions in both free and forced cases are sought by the HBM coupled with an arc length continuation and stability analysis. In this study, a specific attention has been paid to the evaluation of nonlinear modes and to the influence of excitation on dynamic responses. Indeed, several cases of excitation have been analyzed: punctual one and tuned or detuned low engine order. The paper shows that for a localized, or sufficiently detuned, excitation, several solutions can coexist, some of them being represented by closed curves in the Frequency-Amplitude domain. Those different kinds of solution meet up when increasing the force amplitude, leading to forced nonlinear localization. As the closed curves are not tied with the basic nonlinear solution they are easily missed. They were calculated using a sequential continuation with the force amplitude as a parameter.
Sponsorship	International Gas Turbine Institute
Starting Page	917
Ending Page	929
Page Count	13
File Format	PDF
ISBN	9780791844014
DOI	10.1115/GT2010-22681
e-ISBN	9780791838723
Volume Number	Volume 6: Structures and Dynamics, Parts A and B
Conference Proceedings	ASME Turbo Expo 2010: Power for Land, Sea, and Air
Language	English
Publisher Date	2010-06-14
Publisher Place	Glasgow, UK
Access Restriction	Subscribed
Subject Keyword	Bifurcation Nonlinear normal modes Localization Geometrical nonlinearity Dynamic response Nonlinear dynamics Stability Blades Deflection Nonlinear differential equations Excitation Nonlinear systems Engines Vibration analysis
Content Type	Text
Resource Type	Article

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