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Conference Papers Year : 2015

Parametric analysis of the nonlinear behavior of rotating structures

Abstract

In nonlinear rotordynamics, techniques can take advantage of the periodic steady state behavior to predict quickly and accurately the mass unbalance response to a series of parameters, especially with the presence of certain nonlinearities which leads to nonlinear dynamics and complicated responses. The method proposed here calculates the response curve by combining Harmonic Balance Method, Alternating Frequency-Time method and continuation. The singular points where a stability change often arises are detected with the sign change of the Jacobian determinant and then located through a penalty method that increases the solving equation system by a completing constraint. Tracking these points, which provides an efficient way to analyze parametrically the nonlinear behavior of a system, can be fulfilled, once again, by the continuation technique.
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Dates and versions

hal-01192860 , version 1 (22-03-2017)

Identifiers

  • HAL Id : hal-01192860 , version 1

Cite

Lihan Xie, Sébastien Baguet, Benoit Prabel, Régis Dufour. Parametric analysis of the nonlinear behavior of rotating structures. ASME IDETC/CIE 2015 Conference, International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, Massachusetts, United States. pp.DETC2015-46816. ⟨hal-01192860⟩
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