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Nonlinear vibrations and stability analysis of a rotor on high-static-low-dynamic-stiffness supports using method of multiple scales

Navazi, H. M ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ast.2017.01.007
  3. Publisher: Elsevier Masson SAS , 2017
  4. Abstract:
  5. This paper presents the vibration and stability analyses of an unbalanced rotor mounted on high-static-low-dynamic-stiffness supports. The stiffness of the supports is modeled as symmetric of cubic order. Then a second-order multiple scales method is used for studying the primary resonance of the system. The types of singular points are investigated and phase-plane of the system is plotted using analytical and numerical methods. The difference between analytical and numerical solutions is less than 2 percent. © 2017 Elsevier Masson SAS
  6. Keywords:
  7. High-static-low-dynamic-stiffness supports ; Nonlinear vibration ; Rotordynamics ; Stability analysis ; Numerical methods ; Oscillators (electronic) ; Stiffness ; Analytical and numerical methods ; Analytical and numerical solutions ; Dynamic stiffness ; Method of multiple scale ; Multiple scales methods ; Non-linear vibrations ; Rotor-dynamics ; Stability analysis ; Vibration analysis
  8. Source: Aerospace Science and Technology ; Volume 63 , 2017 , Pages 259-265 ; 12709638 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S1270963817300949