Browse > Article

Dynamic Analysis of Harmonically Excited Non-Linear System Using Multiple Scales Method  

Moon, Byung-Young (Department of Aerospace Engineering, Busan National University)
Kang, Beom-Soo (Department of Aerospace Engineering, Busan National University)
Publication Information
Journal of Mechanical Science and Technology / v.16, no.6, 2002 , pp. 819-828 More about this Journal
Abstract
An analytical method is presented for evaluation of the steady state periodic behavior of nonlinear systems. This method is based on the substructure synthesis formulation and a MS (multiple scales) procedure, which is applied to the analysis of nonlinear responses. The proposed procedure reduces the size of large degrees-of-freedom problem in solving nonlinear equations. Feasibility and advantages of the proposed method are illustrated with the nonlinear rotating machine system as an example of large mechanical structure systems. In addition, its efficiency for nonlinear response prediction will be shown by comparison of other conventional methods.
Keywords
Nonlinear Mechanical System; Response Analysis; Modal Analysis; Multiple Scales Method; Multi-DOF System; Modeling of Complex System; Dynamic Design of System;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Byungyoung Moon, Jin-Wook Kim and Bo-suk Yang, 1999, 'Non-Linear Vibration Analysis of Mechanical Structure System using Substructure Synthesis Method,' KSME International Journal, Vol. 13, No. 9, pp. 620-629   DOI
2 Byungyoung Moon and Beom-soo Kang, 2001, 'Non-Linear Vibration Analysis of Mencnical System (Analysis with consideration of nonlinear sensitivity),' JSME International Journal Series C, Vol. 44, No. 1, pp. 12-20   DOI
3 Byungyoung Moon, Beom-soo Kang and Byungsoo Kim, 2001, 'Dynamic Analysis of Harmonically Excited Non-Linear Structure System Using Harmonic Balance Method,' KSME International Journal, Vol. 15, No. 11   과학기술학회마을
4 Haquang, N. and Mook, D. T., 1987, 'Nonlinear Structural Vibration under Combined Parametric and External Excitatior,' Journal of Sound and Vibration, Vol. 118-2, pp. 291-306   DOI   ScienceOn
5 Takuzo Iwatsubo, Shozo Kawamura and Byungyoung Moon, 1998, 'Non-Linear Vibration Analysis of Rotor System using Substructure Synthesis Method (Analysis with consideration of non-linearity of rotor),' JSME International Journal Series C, Vol. 41, No. 4, pp. 727-733   DOI   ScienceOn
6 Mook, D. T., 1978, 'The Influence of An Internal Resonance Conditions,' Journal of Sound and Vibration, Vol. 102-4, pp. 473-492   DOI   ScienceOn
7 Hassan, A., 1994, 'Use of Transformations with The Higher Order Method of Multiple Scales to Determine The Steady State Periodic Response of Harmonically Excited Non-linear oscillators, Part Ⅰ: Transformation of Derivative,' Journal of Sound and Vibration, Vol. 178-1, pp. 1-19   DOI   ScienceOn