대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제21권10호
  • /
  • Pages.1712-1717
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  • 1997
  • /
  • 1226-4873(pISSN)
  • /
  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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가변시간간격을 갖는 Newmark 시간적분법의 사다리꼴법칙에 대한 안정성과 정확도

Stability and accuracy for the trapezoidal rule of the Newmark time integration method with variable time step sizes

  • 노용수 (한양대학교 대학원 정밀기계공학과) ;
  • 정진태 (한양대학교 기계공학과) ;
  • 배대성 (한양대학교 기계공학과)
  • Noh, Yong-Su (Dept. of Precision Mechanical Engineering, Hanyang University) ;
  • Chung, Jin-Tae (Dept. of Mechanical Engineering, Hanyang University) ;
  • Bae, Dae-Seong (Dept. of Mechanical Engineering, Hanyang University)
  • 발행 : 1997.10.01
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초록

Stability and accuracy for the trapezoidal rule of the Newmark time integration method are analyzed when variable time step sizes are adopted. A new analytic approach to stability and accuracy analysis is also proposed for time integration methods with variable time step sizes. The trapezoidal rule with variable time step sizes has the "actual" unconditional stability which is the same as that of the method with constant time step sizes. However, the method with variable time step sizes is first-order accurate while the method with constant time step sizes is second-order accurate. accurate.

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참고문헌

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