Multi-dimensional harmonic balance applied to rotor dynamics

Mechanics Research Communications

Volumn 35, Issue 8, 2008, Pages 537-545

  Guskov, Mikhail ^a   Sinou, Jean Jacques ^a   Thouverez, Fabrice ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

Dynamic; Nonlinear; Rotor

Indexed keywords

ARC LENGTHS; DIFFERENT SPEEDS; DYNAMIC; DYNAMICAL BEHAVIORS; HARMONIC BALANCE; JEFFCOTT ROTOR SYSTEM; JEFFCOTT ROTORS; MULTI-DIMENSIONAL; MULTI-FREQUENCY; NON-LINEAR PROPERTIES; NON-LINEAR RESPONSES; NONLINEAR; PIECE-WISE; RADIAL STIFFNESS; ROTOR; ROTOR DYNAMICS; STEADY-STATE SOLUTIONS; TECHNICAL SYSTEMS; TIME DOMAIN OCT;

EID: 51749123733     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2008.05.002     Document Type: Article

References (14)

1. Chua L.O., and Ushida A. Algorithms for computing almost periodic stady state response of non-linear systems to multiple input frequencies. IEEE Transactions on Circuits and Systems 28 10 (1981) 953-971
2. In: Ehrich F.F. (Ed). Handbook of Rotordynamics (1998), Krieger Publishing Company
3. Guskov, M., Sinou, J.-J., Thouverez, F., Narai{dotless}̈kin, O.S., 2006. Numerical and experimental studies of a dynamical response of a dual shaft test rig. In: Proceedings of IMAC-XXIV Conference on Structural Dynamics.
4. Guskov M., Sinou J.-J., Thouverez F., and Naraikin O. Experimental and numerical investigations of a dual-shaft test rig with intershaft bearing. International Journal of Rotating Machinery (2007)
5. Harris T. Rolling Element Bearings. fourth ed. (1966), John Wiley & Sons, Inc.
6. Hibner D.H. Dynamic response of viscous-damped multi-shaft jet engines. Journal of Aircraft 12 4 (1975) 305-312
7. Kim Y.B., and Choi S.-K. A multiple harmonic balance method for the internal resonant vibration of a non-linear jeffcot rotor. Journal of Sound and Vibration 208 3 (1997) 745-761
8. Kim Y.-B., and Noah S.T. Quasi-periodic response and stability analysis of a non-linear jeffcot rotor. Journal of Sound and Vibration 190 2 (1996) 239-253
9. Lau S.L., and Cheung Y.K. Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems. Journal of Applied Mechanics 50 (1983) 871-876
10. Lalanne M., and Ferraris G. Rotordynamics Prediction in Engineering. second ed. (1997), Wiley
11. Peters, D.A., Morillo, J., 1997. Harmonic balance approach for rotorcraft with both unsteady and unknown rotor speed. In: Proceedings of the 38th AIAA SDM Conference, Kissimmee, Florida, April 7-10, pages AAIA Paper No. 97-1095.
12. Pusenjak R.R., and Oblak M.M. Incremental harmonic balance method with multiple time variables for dynamical systems with cubic non-linearities. International Journal for Numerical Methods in Engineering 59 (2004) 255-292
13. Sinou J.-J., and Lees A.W. A non-linear study of a cracked rotor. European Journal of Mechanics-A/Solids 26 1 (2007) 152-170
14. Villa C., Sinou J.-J., and Thouverez F. Stability and vibration analysis of a complex flexible rotor system. Communications in Nonlinear Science and Numerical Simulation 13 4 (2008) 804-821