Stability and Nonstationary Vibrations of Rotor in Elastoviscous Field

REFERENCES

• Bogoliubov , N. ( 1950 ). Perturbation theory in nonlinear mechanics . Collection of Works of Building Mechanics Institute (In Russian). 4 : 9 – 34 .
   Google Scholar
• Dmitrochenko , O. , Pogorelov , D. , Yu , D. ( 2003 ). Generalization of plate finite elements for absolute nodal coordinate formulation . Multibody System Dynamics 10 ( 1 ): 17 – 43 .
   Web of Science ®Google Scholar
• Doyle , J. F. ( 2001 ). Nonlinear Analysis of Thin – Walled Structures . Berlin , Germany : Springer-Verlag .
   Google Scholar
• Jivkov , V. ( 1971 ). Engine's electromagnetic inertia influence on stability of oscillations of mechanical system with centrifugal exciter (In Russian) . Mashinovedenie 4 : 16 – 20 .
   Google Scholar
• Jivkov , V. ( 1985 ). Motion equations of elastic suspended kinetic accumulator . Godishnik VTUZ, Technical Mechanics 20 ( 2 ): 77 – 85 .
   Google Scholar
• Jivkov , V. ( 2009 ). Stability of steady-state vibrations of a rotor in homogeneous elasto-viscous field. 11-th National Congress on Theoretical and Applied Mechanics. Borovets, Bulgaria, CD:1–10 .
   Google Scholar
• Jivkov , V. , Stoyanova , Y. A. ( 2008 ). Application of the boundary functions method for investigation of mechanical system with centrifugal exciter (In Bulgarian) . Mehanika na Mashinite 82 ( 3 ): 7 – 12 .
   Google Scholar
• Kane , T. R. , Ryan , R. R. , Banerjee , A. R. ( 1987 ). Dynamics of a cantilever beam attached to a moving rigid base . AIAA J. Guidance, Control and Dynamics 10 : 139 – 151 .
   Web of Science ®Google Scholar
• Kim , H. J. , Yoo , W. S. , Ok , J. K. , Kang , D.W. ( 2009 ). Parameter identification of damping models in multibody dynamic simulation of mechanical systems . Multibody System Dynamics 22 ( 4 ): 383 – 398 .
   Web of Science ®Google Scholar
• Kononenko , V. C. ( 1980 ). Nonlinear Oscillations of Mechanical Systems. Selected Works (In Russian). Kyev : Naukova Dumka .
   Google Scholar
• Krämer , E. ( 1993 ). Dynamics of Rotors and Foundations . Berlin , Germany : Springer-Verlag .
   Google Scholar
• Lalanne , M. , Ferraris , G. ( 1997 ). Rotordynamics Prediction in Engineering. , 2nd ed. New York : Wiley .
   Google Scholar
• Meirovich , L. ( 1984 ). Elements of Vibration Analysis . New York : McGraw-Hill Book Company .
   Google Scholar
• Nelson , F. C. ( 2007 ). Rotor dynamics without equations . International Journal of COMADEM 10 ( 3 ): 2 – 10 .
   Google Scholar
• Schwertassek , R. , Wallrapp , O. ( 1999 ). Dynamik Flexibler Mehrköpersysteme . Braunschweig : Friedrich Vieweg Verlag .
   Google Scholar
• Shabana , A. ( 1996 ). An absolute nodal coordinate formulation for the large rotation and deformation analysis of flexible bodies. Technical Report No. MBS96 1-UIC. Department of Mechanical Engineering. University of Illinois at Chicago, IL .
   Google Scholar
• Walker , D. ( 2004 ). Torsional Vibration of Turbomachinery . New York : McGraw-Hill .
   Google Scholar
• Yoo , W. S. , Lee , J. H. , Park , S. J. , Sohn , J. H. , Dmitrochenko , O. , Pogorelov , D. (2004). Large deflection analysis of a thin plate: Computer simulations and experiments. Multibody System Dynamics 11(2):185–208.
   Web of Science ®Google Scholar
• Zahariev , E. V. ( 2002 ). Relative finite element coordinates in multibody system simulation . Multibody System Dynamics 7 ( 1 ): 51 – 77 . Kluwer Academic Publishers .
   Web of Science ®Google Scholar
• Zahariev , E. ( 2006 ). Generalized finite element approach to dynamics modeling of rigid and flexible systems . Mechanics Based Design of Structures and Machines. 34 ( 1 ): 81 – 109 .
   Web of Science ®Google Scholar
• Zahariev , E. ( 2012a ). Simulation of non-stationary vibration of large multibody systems. EUROMECH Colloquium 524 Multibody System Modelling, Control and Simulation for Engineering Design. Enschende, The Netherlands: University of Twente, 64–65 .
   Google Scholar
• Zahariev , E. ( 2012b ). Numerical Multibody System Dynamics, Rigid and Flexible Systems . Lambert Academic Publishing GmbH & Co. KG .
   Google Scholar
• Zienkiewicz , O. C. ( 1979 ). The Finite Element Method . New York : McGraw-Hill .
   Google Scholar
• #Communicated by Steven Velinsky.
   Google Scholar