Influence of thermal activation on dynamic stability of rotating shaft under oscillating torque

• Autorzy: Tylikowski A.
• Konferencja: Symposium “Vibrations In Physical Systems” (22 ; 19-22.04.2006 ; Będlewo koło Poznania, Polska)
• Języki publikacji: EN

Abstrakty

EN

It is an original result of this paper to show that for thin-walled laminated shafts an important destabilizing factor is related with a torsional moment. The rotating hybrid angle-ply laminated circular cylindrical shell is treated as a beam-like structure. The shaft is subjected to combined loading: a time-dependent (stochastic) torque, the fluctuating component of which can be described by the wide-band gaussian process. The shaft buckles dynamically when the parametric excitation becomes so large that the structure does not oscillate about the unperturbed state, and a new increasing mode of oscillations occurs. The uniform stochastic stability criteria involving damping coefficients a rotation speed, a constant value and a spectral characteristic of torque and geometrical and material parameters are derived using Liapunov's direct method. An influence of the thermal activation of shape memory alloy fibers on stability domain is determined. Formulas defining dynamic stability regions are written explicitly.

Słowa kluczowe

EN

composite materials; stability analyzing; high-performance rotating shafts

PL

materiały kompozytowe; analiza stateczności; wysokoobrotowe wały obrotowe

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2006
• Tom: Vol. 22
• Strony: 361--366
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Tylikowski A.

• Warsaw University of Technology, Narbutta 84, 02-524 Warszawa Poland, Phone:[phone]

Bibliografia

• 1. Nepershin, R. I., Klimov, W. W., Optimal design of composite transmission shafts with respect to costs and weight, Mechanics of Composite Materials, 4 (1986) 690-695, (in Russian).
• 2. Bauchau, O. A., Optimal design of high speed rotating graphite/epoxy shafts, J. Composite Materials, 17 (1983)170 -181.
• 3. Tylikowski, A., Dynamic stability of rotating angle-ply composite shafts, Machine Dynamics Problems, 6 (1993) 141-156.
• 4. Tylikowski, A., Stochastic stability of rotating composite shafts with Brazier's effect, In: Nonlinear Science, B, 7, Chaos and Nonlinear Mechanics, ( Chua L. O., ed.), World Scientific, Singapore 1994.
• 5. Tylikowski, A., Influence of torque on dynamic stability of composite thin-walled shafts with Brazier’s effect, Mechanics and Mechanical Engineering, 1 (1997) 145-155.
• 6. Walker, J. A., Stability of a pin-ended bar in torsion and compression, ASME Journal of Applied Mechanics, 94 (1973) 405-410.
• 7. Chow, P. L., Stability of nonlinear stochastic-evolution equations, J. Math. Anal., 89 (1982) 400-419.