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Liapunov stability analysis of a rotor‐bearing system with a flexible attachment of appendage to shaft
Author(s) -
El Marhomy Abd Alla
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19980510)21:7<605::aid-mma923>3.0.co;2-v
Subject(s) - appendage , rotor (electric) , spinning , bearing (navigation) , stability (learning theory) , mathematics , control theory (sociology) , exponential stability , helicopter rotor , structural engineering , engineering , computer science , mechanical engineering , physics , geology , nonlinear system , paleontology , control (management) , quantum mechanics , artificial intelligence , machine learning
This paper presents a general method of analysis for investigating the whirl stability of a rotor‐bearing system whose appendage is flexibly attached to the spinning shaft. Sufficient conditions of asymptotic stability involving system different parameters are derived based on Liapunov's theory. An inclusive analysis of the effect of the combined flexibilities of the elastic attachment of the appendage to the shaft and the two end bearings coupled with the other various parameters of the system on the dynamic stability is presented. © 1998 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.