Open AccessParametric Analysis of the Nonlinear Behavior of Rotating Structures
Author(s) -
Lihan Xie,
Sébastien Baguet,
Benoit Prabel,
Régis Dufour
Publication year - 2015
Publication title -
hal (le centre pour la communication scientifique directe)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.1115/detc2015-46816
Subject(s) - harmonic balance , nonlinear system , continuation , jacobian matrix and determinant , control theory (sociology) , parametric statistics , numerical continuation , unobservable , stability (learning theory) , constraint (computer aided design) , rotordynamics , sign (mathematics) , harmonic , computer science , mathematics , mathematical analysis , bifurcation , physics , vibration , artificial intelligence , statistics , geometry , control (management) , quantum mechanics , machine learning , econometrics , programming language
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.Copyright © 2015 by ASME
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom