Journal
THIN-WALLED STRUCTURES
Volume 60, Issue -, Pages 185-193Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.tws.2012.06.012
Keywords
Axially accelerating beams; Time-dependent velocity; Nonlinear dynamics; Pseudo-arclength continuation technique
Categories
Ask authors/readers for more resources
In this paper, the planar nonlinear dynamics of an axially accelerating beam in the subcritical speed regime is examined theoretically, via two different numerical techniques, employing a large enough number of modes in order to investigate modal interactions. The equation of motion is discretized via the Galerkin method which results in a set of coupled nonlinear ordinary differential equations (NODES) with time-dependent coefficients. The set of NODEs is solved by means of the pseudo-arclength continuation technique and some of the results are tested and verified via direct time integration of the NODEs. The analyses include the system tuned to a three-to-one internal resonance, as well as for the case where it is not. Results are illustrated through frequency-response diagrams, time traces, phase-plane portraits, and fast Fourier transforms (FFTs). (C) 2012 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available