Dynamics of an Axially Moving Viscoelastic Beam Subject to Axial Tension

Author(s):  
Jooyong Cho ◽  
Hyungmi Oh ◽  
Usik Lee
2004 ◽  
Vol 18 (7) ◽  
pp. 1159-1168 ◽  
Author(s):  
Hyungmi Oh ◽  
Jooyong Cho ◽  
Usik Lee

2006 ◽  
Vol 129 (3) ◽  
pp. 380-385 ◽  
Author(s):  
Mohamed Gaith ◽  
Sinan Müftü

Transverse vibration of two axially moving beams connected by a Winkler elastic foundation is analyzed analytically. The two beams are tensioned, translating axially with a common constant velocity, simply supported at their ends, and of different materials and geometry. The natural frequencies and associated mode shapes are obtained. The natural frequencies of the system are composed of two infinite sets describing in-phase and out-of-phase vibrations. In case the beams are identical, these modes become synchronous and asynchronous, respectively. Divergence instability occurs at a critical velocity and a critical tension; and, divergence and flutter instabilities coexist at postcritical speeds, and divergence instability takes place precritical tensions. The effects of the mass, flexural rigidity, and axial tension ratios of the two beams are presented.


2013 ◽  
Vol 51 ◽  
pp. 54-74 ◽  
Author(s):  
Mergen H. Ghayesh ◽  
Marco Amabili ◽  
Hamed Farokhi

2016 ◽  
Vol 75 (3) ◽  
pp. 343-364 ◽  
Author(s):  
Abdelkarim Kelleche ◽  
Nasser-eddine Tatar

2016 ◽  
Vol 87 (14) ◽  
pp. 1706-1710 ◽  
Author(s):  
Ping Wang ◽  
Peng Liu ◽  
Hai-Yan Kong ◽  
Yan Zhang ◽  
Ji-Huan He

This paper aims to produce nanoscale crimped fibers using stuffer box crimping and bubble electrospinning. Nanofibers are originally obtained via a ruptured bubble and then crimped with the stuffer box crimping method. During this spinning process, the governing equations for nonlinear transverse vibration of an axially moving viscoelastic beam with finite deformation are established using the Hamiltonian principle. The crimp frequency is affected by many factors, including spinning conditions and mechanical properties of fibers. The obtained governing equations can be further used for numerical or analytical study of the crimping mechanism.


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