Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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A Transient Response Analysis in the State-space Applying the Average Velocity Concept

평균속도 개념을 적용한 상태공간에서의 과도응답해석

  • 김병옥 (한국기계연구원 회전체그룹) ;
  • 김영철 (한국기계연구원 회전체그) ;
  • 김영춘 (두산중공업(주) 기술연구) ;
  • 이안성 (한국기계연구원 회전체그룹)
  • Published : 2004.05.01
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Abstract

An implicit direct-time integration method for obtaining transient responses of general dynamic systems is described. The conventional Newmark method cannot be directly applied to state-space first-order differential equations, which contain no explicit acceleration terms. The method proposed here is the state-space Newmark method that incorporates the average velocity concept, and can be applied to an analysis of general dynamic systems that are expressed by state-space first-order differential equations. It is also readily coded into a program. Stability and accuracy analyses indicate that the method is numerically unconditionally stable like the conventional Newmark method, and has a period error of 2nd-order accuracy for small damping and 4th-order for large damping and an amplitude error of 2nd-order, regardless of damping. In addition, its utility and validity are confirmed by two application examples. The results suggest that the proposed state-space Newmark method based on average velocity be generally applied to the analysis of transient responses of general dynamic systems with a high degree of reliability with respect to stability and accuracy.

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References

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