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Nonlinear Dynamics of a Rotating Flexible Link

Reddy, Sandeep B and Ghosal, Ashitava (2015) Nonlinear Dynamics of a Rotating Flexible Link. In: JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 10 (6).

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Official URL: http://dx.doi.org/10.1115/1.4028929


This paper deals with the study of the nonlinear dynamics of a rotating flexible link modeled as a one dimensional beam, undergoing large deformation and with geometric nonlinearities. The partial differential equation of motion is discretized using a finite element approach to yield four nonlinear, nonautonomous and coupled ordinary differential equations (ODEs). The equations are nondimensionalized using two characteristic velocities-the speed of sound in the material and a velocity associated with the transverse bending vibration of the beam. The method of multiple scales is used to perform a detailed study of the system. A set of four autonomous equations of the first-order are derived considering primary resonances of the external excitation and one-to-one internal resonances between the natural frequencies of the equations. Numerical simulations show that for certain ranges of values of these characteristic velocities, the slow flow equations can exhibit chaotic motions. The numerical simulations and the results are related to a rotating wind turbine blade and the approach can be used for the study of the nonlinear dynamics of a single link flexible manipulator.

Item Type: Journal Article
Publisher: ASME
Additional Information: Copy right for this article belongs to the ASME, TWO PARK AVE, NEW YORK, NY 10016-5990 USA
Keywords: flexible rotating beam; nonlinear dynamics; chaotic motion; multiple scales analysis; wind turbine blade
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 18 Feb 2016 05:51
Last Modified: 18 Feb 2016 05:51
URI: http://eprints.iisc.ac.in/id/eprint/53289

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