Analytical study of the dynamic behavior of geometrically nonlinear shaft-disk rotor systems
| Autor: | Guilhem Michon, Alain Berlioz, Muhammad Rizwan Shad |
|---|---|
| Přispěvatelé: | Institut Clément Ader (ICA), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-IMT École nationale supérieure des Mines d'Albi-Carmaux (IMT Mines Albi), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Institut Supérieur de l'Aéronautique et de l'Espace (ISAE-SUPAERO), Institut Supérieur de l'Aéronautique et de l'Espace (ISAE-SUPAERO)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-IMT École nationale supérieure des Mines d'Albi-Carmaux (IMT Mines Albi), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT) |
| Rok vydání: | 2011 |
| Předmět: |
Rotary inertia
02 engineering and technology Rotordynamics 01 natural sciences Industrial and Manufacturing Engineering law.invention Physics::Popular Physics symbols.namesake 0203 mechanical engineering law courbes de résonance large deformations in bending non-linéaire 0103 physical sciences General Materials Science Hamilton's principle 010301 acoustics Multiple-scale analysis Physics Rotating unbalance Mechanical Engineering Dynamique des rotors Equations of motion méthode des echelles multiples Mechanics [PHYS.MECA.MSMECA]Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph] Nonlinear system 020303 mechanical engineering & transports Classical mechanics grandes déformations en flexion symbols nonlinear Helicopter rotor resonant curves method of multiple scales |
| Zdroj: | Mechanics & Industry Mechanics & Industry, EDP Sciences, 2011, 12 (6), pp.433--443. ⟨10.1051/meca/2011139⟩ Mechanics & Industry, 2011, 12 (6), pp.433--443. ⟨10.1051/meca/2011139⟩ |
| ISSN: | 1765-2960 1296-2139 2257-7777 2257-7750 |
| Popis: | International audience; This paper explores analytically the nonlinear dynamic behavior of rotors. Coupled nonlinear equations of motion are formulated using Hamilton’s principle. The rotor model is composed of a rigid disk and a flexible shaft which is characterized as a beam of circular cross section. Various influences are taken into account like the effect of higher order large deformations, rotary inertia, gyroscopic effect, rotor unbalance and the effect of a dynamic axial force. Forced response due to a mass unbalance is presented first for the linear analysis and then perturbation techniques are used to solve the complete equations of motion including nonlinear terms. Method of multiple scales is applied to examine the nonlinear behaviour of the rotor system. Resonant curves are plotted for different possible resonance conditions. It is concluded that the higher order large deformations and axial force acting dynamically on the rotor have a significant effect on its nonlinear response. This response varies for different parameters of the rotor like an unbalance mass and diameter of the shaft. |
| Databáze: | OpenAIRE |
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