Stability analysis of Beck's column over a fractional-order hereditary foundation
2018 ◽
Vol 474
(2218)
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pp. 20180315
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Keyword(s):
This paper considers the case of Beck's column resting on a hereditary bed of independent springpots. The springpot possesses an intermediate rheological behaviour among linear spring and linear dashpot. It is defined by means of couple ( C β , β ) that characterize the material of the element and is ruled by a Caputo's fractional derivative. In this paper, we investigate the critical load of the column under the action of a follower load by means of a novel complex transform that allows to use the Routh–Hurwitz theorem in the complex half-plane for the stability analysis.
2001 ◽
Vol 01
(02)
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pp. 283-291
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Keyword(s):
2021 ◽
Vol 2021
◽
pp. 1-6
2017 ◽
Vol 2017
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pp. 1-10
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Keyword(s):
2021 ◽
pp. 1-14
Keyword(s):
2021 ◽
Vol 3
◽
pp. 100037