Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 611-616 |
Journal / Publication | Mechanics of Advanced Materials and Structures |
Volume | 18 |
Issue number | 8 |
Online published | 16 Nov 2011 |
Publication status | Published - 2011 |
Link(s)
Abstract
This article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration.
Research Area(s)
- axially moving beam, Floquet theory, IHB method, internal resonance, nonlinear vibration, numerical integration, stability
Citation Format(s)
Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method. / Huang, J. L.; Chen, S. H.; Su, R. K. L. et al.
In: Mechanics of Advanced Materials and Structures, Vol. 18, No. 8, 2011, p. 611-616.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review