ON THE OSCILLATORY BEHAVIOURS AND RUB-IMPACT FORCES OF A HORIZONTALLY SUPPORTED ASYMMETRIC ROTOR SYSTEM UNDER POSITION-VELOCITY FEEDBACK CONTROLLER

N. A. SAEED; S. I.  EL-BENDARY; M.  SAYED; M. S.  MOHAMED; S. K.  ELAGAN

doi:10.1590/1679-78256410

ON THE OSCILLATORY BEHAVIOURS AND RUB-IMPACT FORCES OF A HORIZONTALLY SUPPORTED ASYMMETRIC ROTOR SYSTEM UNDER POSITION-VELOCITY FEEDBACK CONTROLLER

Authors

N. A. SAEED DEPARTMENT OF PHYSICS AND ENGINEERING MATHEMATICS, FACULTY OF ELECTRONIC ENGINEERING, MENOUF, 32952, MENOUFIA UNIVERSITY HTTPS://ORCID.ORG/0000-0002-3275-2392
S. I. EL-BENDARY DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, TANTA UNIVERSITY, EGYPT. HTTPS://ORCID.ORG/0000-0002-9271-075X
M. SAYED DEPARTMENT OF PHYSICS AND ENGINEERING MATHEMATICS, FACULTY OF ELECTRONIC ENGINEERING, MENOUF, 32952, MENOUFIA UNIVERSITY, EGYPT. HTTPS://ORCID.ORG/0000-0002-9109-1520
M. S. MOHAMED DEPARTMENT OF MATHEMATICS AND STATISTICS, COLLEGE OF SCIENCE, TAIF UNIVERSITY, P.O.BOX 11099, TAIF 21944, SAUDI ARABIA. HTTPS://ORCID.ORG/0000-0003-3976-9100
S. K. ELAGAN DEPARTMENT OF MATHEMATICS AND STATISTICS, COLLEGE OF SCIENCE, TAIF UNIVERSITY, P.O.BOX 11099, TAIF 21944, SAUDI ARABIA; DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, MENOUFIA UNIVERSITY, SHEBIN ELKOM 32511, EGYPT. HTTPS://ORCID.ORG/0000-0003-4781-5445

DOI:

https://doi.org/10.1590/1679-78256410

Abstract

THIS WORK IS MEANT TO INVESTIGATE AND CONTROL THE NONLINEAR DYNAMICAL BEHAVIOURS OF A NONLINEAR ASYMMETRIC ROTATING SHAFT SYSTEM. THE STUDIED SYSTEM IS MODELED AS A NONLINEAR DYNAMICAL SYSTEM HAVING BOTH QUADRATIC AND CUBIC NONLINEARITIES AND EXCITED AT THE PRIMARY RESONANCE. A LINEAR PROPORTIONAL-DERIVATIVE CONTROLLER IS INTRODUCED TO ELIMINATE THE NONLINEAR BEHAVIOURS AND TO SUPPRESS THE LATERAL VIBRATIONS OF THE ROTATING SHAFT. THE INFLUENCES OF DIFFERENT CONTROL PARAMETERS ON THE OSCILLATORY BEHAVIOURS OF THE CONSIDERED SYSTEM ARE EXPLORED. THE MAIN OBTAINED ANALYTICAL RESULTS SHOWED THAT THE UNCONTROLLED SHAFT MAY RESPOND WITH FORWARD AND BACKWARD WHIRLING MOTION. HOWEVER, THE PROPOSED CONTROLLER ILLUSTRATED ITS FEASIBILITY IN ELIMINATING THE NONLINEAR BEHAVIOURS OF THE STUDIED SYSTEM AND FORCING IT TO BEHAVE LIKE THE LINEAR SYSTEMS. MOREOVER, THE OBTAINED RESULTS CONFIRMED THAT THE PROPORTIONAL CONTROL GAIN PLAYS A DOMINANT ROLE IN DESTABILIZING THE STUDIED ROTOR SYSTEM. FINALLY, THE SAFE OPERATION OF THE STUDIED SYSTEM WITH AVOIDING THE RUB-IMPACT FORCE OCCURRENCE IS DISCUSSED.

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Published

2021-02-05

Issue

Vol. 18 No. 2 (2021)

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Articles

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