An analytical-numerical study of dynamic stability of an axially moving elastic web
Authors
Date
2015This paper is devoted to a dynamic stability analysis of an axially moving
elastic web, modelled as a panel (a plate undergoing cylindrical deformation).
The results are directly applicable also to the travelling beam. In accordance
with the dynamic approach of stability analysis, the problem of harmonic vi-
brations is investigated via the study of the dependences of the system’s nat-
ural frequencies on the problem parameters. Analytical implicit expressions
for the solution curves, with respect to problem parameters, are derived for
ranges of the parameter space where the natural frequencies are real-valued,
corresponding to stable vibrations. Both axially tensioned and non-tensioned
travelling panels are considered. The special cases of the non-tensioned trav-
elling panel, and the tensioned stationary (non-travelling) panel are also dis-
cussed, and special-case solutions given. Numerical evaluation of the obtained
general analytical results is discussed. Numerical examples are given for panels
subjected to two different tension levels, and for the non-tensioned panel. The
results allow the development of very efficient, lightweight solvers for deter-
mining the natural frequencies of travelling panels and beams. The results can
also be used to help locate the bifurcation points of the solution curves, corre-
sponding to points where mechanical stability is lost.
...
Alternative title
Analytical-numerical study of dynamic stability of an axially moving elastic webPublisher
Jyväskylän yliopistoISBN
978-951-39-6079-7ISSN Search the Publication Forum
1456-436XKeywords
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