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Global stabilty analysis of a classical non-conservative system under a follower load
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1991
(EN)
EKT historical period
Title
Global stabilty analysis of a classical non-conservative system under a follower load (EN)
Creator
Avraam, T (EN)
Kounadis, AN (EN)
Description
The bifurcations, critical conditions and global stability of the classical two-degree-of freedom Ziegler's dissipative model under a partial follower load are thoroughly discussed with the aid of a complete non-linear dynamic analysis. Attention is mainly focused on the range of values of the non-conservativeness loading parameter for which adjacent equilibria do not exist. Various characteristic findings are established by studying the nature of the Jacobian matrix eigenvalues associated with the above non-linear autonomous dissipative system. It is found that the system exhibits stable Hopf bifurcations (global stability) for the entire region of non-adjacent equilibria, while the classical linear stability analysis leads to flutter instability (local instability). Moreover, in an explicit general form, the significant effect of damping on the critical (dynamic bifurcation) load is established. On the basis of the latter, the critical loads for the case of vanishing damping are found to be completely different from those of the classical (local) stability analysis. All findings of this analysis are checked against numerical solution of the equations of motion. © 1991. (EN)
Type
journalArticle (EN)
Subject
Mathematical Models - Applications (EN)
Ziegler's Dissipative Model (EN)
Acoustic Waves - Stability (EN)
Mechanics (EN)
Acoustics (EN)
Engineering, Mechanical (EN)
Elastic Waves (EN)
Follower Loads (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Journal of Sound and Vibration (EN)
Language
English
Issued
1991 (EN)
Identifier
http://hdl.handle.net/123456789/10447
1 (EN)
67 (EN)
ISI:A1991GK57300005 (EN)
82 (EN)
150 (EN)
0022-460X (EN)
Publisher
ACADEMIC PRESS LTD (EN)
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