Whirling of strings has been studied both theoretically and experimentally for many decades. According to linear theory, a heavy string can exhibit steady-state whirl only at its natural frequencies which form a discrete spectrum. The nonlinear theory, however, suggests that a string can undergo steady whirl at any frequency larger than the fundamental frequency and further that for each frequency between the and the eigenvalue, there exist distinct whirling modes. Quantitative experimental observations on such whirling have never been reported, although anecdotal evidence suggests the possibility of such whirl. In this paper, we examine the whirling of a string with negligible bending stiffness through experiments utilizing a stereo-vision imaging system. It is shown that steady motion exists only when the string whirls at its natural frequencies and that whirling motions for other frequencies exhibit rich dynamics that needs further exploration.
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e-mail: kravi@mail.utexas.edu
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September 2006
Technical Papers
An Experimental Investigation of the Motion of Flexible Strings: Whirling
Bisen Lin,
Bisen Lin
Center for Mechanics of Solids, Structures and Materials, Department of Aerospace Engineering and Engineering Mechanics,
The University of Texas at Austin
, Austin, TX 78712-1085
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K. Ravi-Chandar
K. Ravi-Chandar
Fellow ASME
Center for Mechanics of Solids, Structures and Materials, Department of Aerospace Engineering and Engineering Mechanics,
e-mail: kravi@mail.utexas.edu
The University of Texas at Austin
, Austin, TX 78712-1085
Search for other works by this author on:
Bisen Lin
Center for Mechanics of Solids, Structures and Materials, Department of Aerospace Engineering and Engineering Mechanics,
The University of Texas at Austin
, Austin, TX 78712-1085
K. Ravi-Chandar
Fellow ASME
Center for Mechanics of Solids, Structures and Materials, Department of Aerospace Engineering and Engineering Mechanics,
The University of Texas at Austin
, Austin, TX 78712-1085e-mail: kravi@mail.utexas.edu
J. Appl. Mech. Sep 2006, 73(5): 842-851 (10 pages)
Published Online: December 13, 2005
Article history
Received:
September 2, 2005
Revised:
December 13, 2005
Citation
Lin, B., and Ravi-Chandar, K. (December 13, 2005). "An Experimental Investigation of the Motion of Flexible Strings: Whirling." ASME. J. Appl. Mech. September 2006; 73(5): 842–851. https://doi.org/10.1115/1.2172270
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