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

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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.

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  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.

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

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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

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Key Words

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