Journal ArticleDOI
Super- and sub-harmonic response calculations for a torsional system with clearance nonlinearity using the harmonic balance method
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TLDR
In this paper, a multi-term harmonic balance method (HBM) was proposed for nonlinear frequency response calculations of a torsional sub-system containing a clearance type nonlinearity.About:
This article is published in Journal of Sound and Vibration.The article was published on 2005-03-22. It has received 140 citations till now. The article focuses on the topics: Harmonic balance & Harmonic.read more
Citations
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Journal ArticleDOI
The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
TL;DR: In this article, an algorithm that combines the computation of the Floquet exponents with bordering techniques is developed for the detection and tracking of bifurcations of nonlinear systems.
The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
TL;DR: In this paper, an algorithm that combines the computation of the Floquet exponents with bordering techniques is developed for the detection and tracking of bifurcations of nonlinear systems.
Journal ArticleDOI
Vibration Prediction of Bladed Disks Coupled by Friction Joints
TL;DR: In this article, the authors present a review of the state of the art in vibration prediction of rotating bladed disks with respect to aeroelastic effects, appropriate model order reduction techniques and the exploitation of the rotationally periodic nature of the problem.
Journal ArticleDOI
Analytical model of bolted disk–drum joints and its application to dynamic analysis of jointed rotor
Zhaoye Qin,Qinkai Han,Fulei Chu +2 more
TL;DR: An analytical model for the bending stiffness of the bolted disk-drum joints is presented in this paper, where the model is applied to aero-engines with rotor disks and drums.
Journal ArticleDOI
Global bifurcation and chaos analysis in nonlinear vibration of spur gear systems
TL;DR: In this paper, the global homoclinic bifurcation and transition to chaotic behavior of a nonlinear gear system are studied by means of Melnikov analytical analysis, where the threshold values of the control parameter for the occurrence of homocallinic Bifurcation and onset of chaos are predicted.
References
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Book
Numerical Continuation Methods: An Introduction
Eugene L. Allgower,Kurt Georg +1 more
TL;DR: This book discusses Continuation Methods, Newton's Method and Orthogonal Decompositions Revisited, and Update Methods and their Numerical Stability.
Book
Practical Bifurcation and Stability Analysis
TL;DR: In this article, the Branching Behavior of Nonlinear Equations and Boundary-Value Problems are discussed. But they do not specify the branching behavior of nonlinear equations.
Journal ArticleDOI
The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems
G. Von Groll,David J. Ewins +1 more
TL;DR: In this article, a numerical algorithm based on the harmonic balance method was proposed to calculate the periodic response of a non-linear system under periodic excitation, and the algorithm also calculated the stability of the periodic solutions found, marks turning and bifurcation points, and follows a solution branch over varying system parameters via arc-length continuation.
Journal ArticleDOI
Non-linear dynamics of a geared rotor-bearing system with multiple clearances
Ahmet Kahraman,Rajendra Singh +1 more
TL;DR: In this article, the nonlinear frequency response characteristics of a geared rotor-bearing system are examined, and the applicability of both analytical and numerical solution techniques to the multi-DOF nonlinear problem is investigated.
Related Papers (5)
The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems
G. Von Groll,David J. Ewins +1 more