Volume 121, Number 4, February 2018
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||17 April 2018|
Propagating stress-pulses and wiggling transition revealed in string dynamics
School of Physics and Astronomy, and Institute of Natural Sciences, Shanghai Jiao Tong University Shanghai 200240 China
Received: 2 January 2018
Accepted: 27 March 2018
Understanding string dynamics yields insights into the intricate dynamic behaviors of various filamentary thin structures in nature and industry covering multiple length scales. In this work, we investigate the planar dynamics of a flexible string where one end is free and the other end is subject to transverse and longitudinal motions. Under transverse harmonic motion, we reveal the propagating pulse structure in the stress profile over the string, and analyze its role in bringing the system into a chaotic state. For a string where one end is under longitudinal uniform acceleration, we identify the wiggling transition, derive the analytical wiggling solution from the string equations, and present the phase diagram.
PACS: 46.70.Hg – Membranes, rods, and strings / 45.50.Jf – Few- and many-body systems / 45.80.+r – Control of mechanical systems
© EPLA, 2018
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