NDLI: Helicoseir as Shape of a Rotating String (II): 3D Theory and Simulation Using ANCF

Content Provider	Springer Nature Link
Author	Dmitrochenko, Oleg Yoo, Wan Suk Pogorelov, Dmitry
Copyright Year	2006
Abstract	This paper is the second one devoted to studying the dynamical behavior of a rotating uniform string with one fixed top point. Two-dimensional shapes of relative equilibrium for a string were analyzed in our paper [3] both analytically and numerically and found to be instable. This fact disagrees with the experimental appearance of this so-called helicoseir problem because one can easily demonstrate that its stable motion is possible. In this paper, spatial nonlinear equations of motion are derived and shown that a 2D equilibrium equation is one of their partial cases. The equations are, however, very complicated that is why we decided at first to analyze the motion numerically by a finite element approach called the absolute nodal coordinate formulation (ANCF). We developed a new 12-dof element of a thin string based on the Euler-Bernoulli theory. The simulation shows that the undamped spatial motion of the helicoseir is stable and looks like self-excited oscillations near the flat instable configurations that were obtained previously. This stability is destroyed when external damping is added to the system. Some examples of bifurcation instability fore spatial motion are presented; they satisfy the bifurcation diagram obtained in the previous work. Unfortunately, numerical simulation cannot give answers to some interesting questions, e.g. dependence of parameters of the self-excited oscillations on the angular velocity of rotation. Thus, further analytical research of this problem is desirable.
Starting Page	181
Ending Page	200
Page Count	20
File Format	PDF
ISSN	13845640
Journal	Multibody System Dynamics
Volume Number	15
Issue Number	2
e-ISSN	1573272X
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-04-14
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Rotating string ANCF (absolute nodal coordinate formulation) experiments simulations
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Mechanical Engineering Aerospace Engineering Modeling and Simulation Computer Science Applications

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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