Nonlinear response and bifurcation analysis of a Duffing type rotor model under sine maneuver load |
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Institution: | 1. Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, 32952, Egypt;2. Electrical Engineering Department, College of Engineering, King Saud University, PO Box 800, Riyadh 11421, Saudi Arabia;3. Industrial Electronics and Control Engineering Dept., Faculty of Electronic Engineering, Menoufia University, Menouf, 32952, Egypt;4. Advanced Manufacturing Institute, King Saud University, P.O. Box 800, Riyadh11421, Saudi Arabia;5. Industrial Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia;6. Faculty of Engineering, Mechanical Engineering Department, Helwan University, Cairo 11732, Egypt |
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Abstract: | This paper focuses on the nonlinear dynamic and bifurcation characteristics of an aircraft rotor system affected by the maneuvering flight of the aircraft. The equations of motion of the system are formulated with the consideration of the nonlinear supports of Duffing type and the sine maneuver load of a proposed maneuvering flight model. By utilizing the multiple scales method to solve the motion equations analytically, the bifurcation equations are obtained. Accordingly, the response and the bifurcation characteristics of the system are analyzed respectively. Basically, the increase of the maneuver load may increase the formant frequency as well as the primary resonance frequencies. Through numerical simulations, four different types of response characteristics of the system during the maneuvering flight are found, which are compared with the theoretical results, and it shows good qualitative agreements between them. Furthermore, the maneuver load can make an apparent effect on the bifurcation. The results in this paper will provide a better understanding for the effect of aircraft maneuvering flight on the dynamics and bifurcations of the rotor system. |
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Keywords: | Duffing type rotor model Dynamic and bifurcation characteristics Sine maneuver load Maneuvering flight Singularity method |
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