Proceedings of the KSME Conference (대한기계학회:학술대회논문집)
- 2004.11a
- /
- Pages.649-654
- /
- 2004
Simulation of a Rotating Chain with an Absolute Nodal Coordinate Formulation
절대절점좌표를 이용한 회전체인의 시뮬레이션
-
Yoo, Wan-Suk
;
- Dmitrochenko, Oleg ;
- Pogorelov, Dmitry (Brynsk State University)
-
유완석
(부산대학교 기계공학부) ;
- ;
- Published : 2004.11.03
Abstract
A physically simple but mathematically cumbrous problem of rotating heavy chain with one fixed top point is studied. Nonlinear equation of its two-dimensional shapes of relative equilibrium is obtained and solved numerically. A linear case of small displacements is analyzed in terms of Bessel functions. The qualitative and quantitative behavior of the problem is discussed with the help of bifurcation diagram. Dynamics of the two-dimensional model near the equilibrium positions is studied with the help of simulation using the absolute nodal coordinate formulation (ANCF). The equilibriums are found instable, and the reason of instability is explained using a variational principle.