Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Dynamic analysis of harmonically excited non-linear system using multiple scales method

  • 88 Accesses

  • 2 Citations

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.

This is a preview of subscription content, log in to check access.

References

  1. Byungyoung Moon, Jin-Wook Kim and Bosuk Yang, 1999, “Non-Linear Vibration Analysis of Mechanical Structure System using Substructure Synthesis Method,”KSME International Journal, Vol. 13, No. 9, pp. 620–629.

  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.

  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.

  4. Haquang, N. and Mook, D. T., 1987, “Nonlinear Structural Vibration under Combined Parametric and External Excitation,”Journal of Sound and Vibration, Vol. 118-2, pp. 291–306.

  5. Mook. D. T., 1978, “The Influence of An Internal Resonance Conditions,”Journal of Sound and Vibration, Vol. 102-4, pp. 473–492.

  6. 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.

  7. 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.

Download references

Author information

Correspondence to Byung-Young Moon or Beom-Soo Kang.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Moon, B., Kang, B. Dynamic analysis of harmonically excited non-linear system using multiple scales method. KSME International Journal 16, 819–828 (2002). https://doi.org/10.1007/BF02939341

Download citation

Key Words

  • Nonlinear Mechanical System
  • Response Analysis
  • Modal Analysis
  • Multiple Scales Method
  • Multi-DOF System
  • Modeling of Complex System
  • Dynamic Design of System