Validity of the Multiple Scale Solution for a Resonance Response of a Bar with a Nonlinear Boundary Condition

비선형 경계조건을 가진 봉의 공진응답을 위한 다중시간해의 타당성

  • 이원경 (영남대학교, 기계공학부) ;
  • 여명환 (영남대학교 대학원 기계공학부) ;
  • 배상수 (영남대학교 대학원 기계공학부)
  • Published : 1997.02.01

Abstract

In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third-order subharmonic resonance response of a bar constrained by a nonlinear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a nonlinear boundary condition. The nonlinear boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.

Keywords

References

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