Presently, the Nonlinear Single Resonant Mode (NLSRM) method is the most efficient method for extending standard linear modal analysis concept to nonlinear systems. In this method, it is assumed that the mode of vibration in the resonant condition is close to the nonlinear normal mode and only one mode has nonlinear behavior. Therefore, predicting which one of the modes will exhibit nonlinear behavior is very important especially for a large system. The main object of this paper is twofold: (1) to improve the NLSRM method, (2) to use the sensitivity analysis for the prediction of nonlinear mode. The results are compared to the results of harmonic balance (HB) and time domain (TD) methods. It is shown that there is a very good agreement between HB and TD results with those of improved NLSRM methods and also the methodology for prediction of nonlinear mode is well suited.
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January 2003
Technical Papers
Improvement of Nonlinear Single Resonant Mode Method
A. S. Nobari, Assistant Professor,
A. S. Nobari, Assistant Professor
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M. Shahramyar, Graduate Student
M. Shahramyar, Graduate Student
Aerospace Department, Amirkabir University, Tehran, Iran
Search for other works by this author on:
A. S. Nobari, Assistant Professor
M. Shahramyar, Graduate Student
Aerospace Department, Amirkabir University, Tehran, Iran
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 2001; Revised August 2002. Associate Editor: A. F. Vakakis.
J. Vib. Acoust. Jan 2003, 125(1): 59-63 (5 pages)
Published Online: January 6, 2003
Article history
Received:
October 1, 2001
Revised:
August 1, 2002
Online:
January 6, 2003
Citation
Nobari, A. S., and Shahramyar, M. (January 6, 2003). "Improvement of Nonlinear Single Resonant Mode Method ." ASME. J. Vib. Acoust. January 2003; 125(1): 59–63. https://doi.org/10.1115/1.1523875
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