Stability of a shaft rotating with fluctuating angular velocity

• Autorzy: Tylikowski A.
• Języki publikacji: EN

Abstrakty

EN

In this paper the technique of the dynamic stability analysis proposed for the conven¬tional laminated structures is extended to the structures rotating with the time-dependent angular velocity. The rotating angle-ply symmetrically laminated circular cylindrical shell is treated as a beam-like structure. The shaft is subjected to a constant torque. The ve¬locity stochastic component is assumed in the form of the wide - band Gaussian processes modelled as a Wiener process. The fluctuating component of angular velocity implies a stochastic parametric excitation of shaft motion. The structure buckles dynamically when the axial parametric excitation becomes so large that the structure does not os¬cillate about the unperturbed state, and a new increasing mode of oscillations occurs. The uniform stochastic stability criteria involving a damping coefficient, a rotation speed and geometrical and material parameters are derived using Liapunov's direct method. Formulas determining dynamic stability regions are written explicitly.

Słowa kluczowe

EN

dynamic stability; angular velocity; shaft; Liapunov method; rotating

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 1999
• Tom: Vol. 3, nr 2
• Strony: 93--102
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Tylikowski A.

• Warsaw University of Technology Department of Vehicles and Heavy Machinery Engineering Narbutta 84, 02-524 Warszawa, Poland Tel. [phone]