Gyroscopic Effect in the Stability Problem of a Slender Rotating Shaft with Follower Load

• Autorzy: Kurnik W. , Przybyłowicz P. M. , Weronko J. , Wiatr P.
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with stability analysis of a flexible rotating shaft supported as a cantilever beam and subjected to tip-concentrated follower load. Such systems exhibit two mechanisms of instability of flutter type, different in physical nature and, what is most important, interacting to produce complicated stability regions in the space of rotation speed and follower load. In such systems even for high-speed working conditions, the rotary inertia as well as the gyroscopic effect is usually neglected like in slender beams. However, in some regions of parameters, especially in slightly internally dissipative shafts the gyroscopic effect can considerably change the boundaries of the stability domain. Moreover, an interesting phenomenon can be observed when two pairs of eigenvalues with different speeds at the same time intersect the imaginary axis of the complex plane. This leads to bifurcation with four critical eigenvalues similar to that studied by Iooss in the Navier-Stokes equations.

Słowa kluczowe

EN

rotating shaft; follower loard; flutter instability; gyroscopic effect

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2003
• Tom: Vol. 27, No. 2
• Strony: 55--70
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kurnik W.

• Institute of Machine Design Fundamentals, Warsaw University of Technology

autor

Przybyłowicz P. M.

• Institute of Machine Design Fundamentals, Warsaw University of Technology

autor

Weronko J.

• Institute of Machine Design Fundamentals, Warsaw University of Technology

autor

Wiatr P.

• Institute of Machine Design Fundamentals, Warsaw University of Technology

Bibliografia

• 1. Bauchau, O.A., 1983, Optimal Design of High-Speed Rotating Graphite/Epoxy Shafts, Journal of Composite Materials, 17, 170-181.
• 2. Iooss, G., Joseph, D.D., 1980, Elementary Stability and Bifurcation Theory, Springer Verlag, N.Y.
• 3. Kimbali, A.L., 1924, Internal friction theory of shaft whirlings, General Electric Review, 17, 244-251.
• 4. Kurnik, W., 1993, Self-Excited Vibration of thin-walled Composite Shafts with Brazier's Effect, Machine Dynamics Problems, 6, 125-140.
• 5. Kurnik, W., 1994, Stability and Bifurcation Analysis of a Non-linear Transversally Loaded Rotating Shaft, Nonlinear Dynamics, 5, No. 1, 39-52.
• 6. Kurnik, W., Pękalak, M., 1992, Stability and Bifurcation Analysis of the Non-linear Damped Leipholz Column, Journal of Sound Vibration, 152, 285-294.
• 7. Kurnik, W., Przybyłowicz, P.M., 2002, Active Stabilisation of a Piezoelectric Fiber Composite Shaft Subjected to Follower Load, Proceedings of Seventh Pan American Congress of Applied Mechanics PACAM VII (Eds. P. Kittl, G. Diaz, D. Mook, J. Geer), Temuco, Chile 2-4 Januar 2002, 93-96.
• 8. Kurnik, W., Weronko, J., 2003, Optimisation of a flexible cantilever rotor with intermediate support, 51th EUROMECH Solid Mechanics Conference, Thessaloniki GREECE, Book of Abstract, p. 155.