Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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A Study on Numerical Analysis of Equation of Motion for Constrained Systems

구속된 시스템 운동방정식의 수치해석에 관한 연구

  • Published : 1997.10.01
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Abstract

Using Generalized Inverse Method presented by Udwadia and Kalaba in 1992, we can obtain equations to exactly describe the motion of constrained systems. When the differential equations are numerically integrated by any numerical integration scheme, the numerical results are generally found to veer away from satisfying constraint equations. Thus, this paper deals with the numerical integration of the differential equations describing constrained systems. Based on Baumgarte method, we propose numerical methods for reducing the errors in the satisfaction of the constraints.

Keywords

References

  1. Proceedings of Royal Society of London v.439 A New Perspective on Constrained Motion Udwadia F.E.;R.E. Kalaba
  2. Journal of Quarterly Applied Mechanics no.Feb. Equations of Motion for Constrained Mechanical Systems and the Extended D'Alembert's Principle Udwadia F.E.;Kalaba R.E.;Eun H. C.
  3. PhD. Thesis., Univ. of Southern California On The Dynamics and Control of Constrained Mechanical & Structural Systems Eun. H.C.
  4. Journal of Comp. meth. in Appl. Mech. and Engineering v.1 Stabilization of Constraints and Integrals of Motion in Dynamical Systems Baumgarte, J.W.