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Simulation of a Rotating Chain with an Absolute Nodal Coordinate Formulation
유완석(Wan-Suk Yoo),Oleg Dmitrochenko(Oleg Dmitrochenko),Dmitry Pogorelov(Dmitry Pogorelov) 대한기계학회 2004 대한기계학회 춘추학술대회 Vol.2004 No.11
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.
Wan-Suk Yoo(유완석),Oleg Dmitrochenko,Dmitry Pogorelov 대한기계학회 2005 대한기계학회 춘추학술대회 Vol.2005 No.11
The current state of the absolute nodal coor-dinate formulation (ANCF) is reviewed for large-displacement and large-deformation problems in flexible multibody dynamics. This review covers most of the known implementations of different kinds of finite elements including thin and thick planar and spatial beams and plates. Physical experiments were carried out to verify simulation resulats that show the accuracy of the ANCF applied to real physical problems. And simulation results are compared with experiments having significant geometrical non-linearity. A beam, a plate, a rotating chain, and a rotating strip were compared as examples. Current and further development directions of the ANCF are also briefly outlined.
Matching of Physical Experiments and Multibody Dynamic Simulation for Large Deformation Problems
Wan-Suk Yoo,Jeong-Han Lee,Jeong-Hyun Sohn,Su-Jin Park,Oleg Dmitrochenko,Dmitri Pogorelov 대한기계학회 2004 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.18 No.5
Many papers have studied computer simulations of elastic bodies undergoing large deflections and large deformations. But there have not been many attempts to check the validity of the numerical formulations because the simulation results could not be matchen without correct input data such as material properties and damping effects. In this paper,these values are obtained from real experiment with a high-speed camera and a data caquisition system. The simulation results with the absolute nodal coordinate formulation (ANCF) are compared with the results of real experiments. Two examples, a thin cantilever beam and a thin plate, are studied to verify whether the simulation results are well matched to experimental results.<br/>