Stability analysis of rotor-bearing systems via Routh-Hurwitz criterion

• Autorzy: El-Marhomy A. A. A. A.
• Języki publikacji: EN

Abstrakty

EN

A method of analysis is developed for studying the whirl stability of rotor-bearing systems without the need to solve the governing differential equations of motion of such systems. A mathematical model comprised of an axially symmetric appendage at the mid span of a spinning shaft mounted on two dissimilar eight-coefficient bearings is used to illustrate the method. Sufficient conditions for asymptotic stability of both the translational and rotational modes of motion of the system have been derived. The system stability boundaries presented graphically in terms of the various system non-dimensionalized parameters afford a comprehensive demonstration of the effects of such parameters on system stability of motion.

Słowa kluczowe

EN

rotor-bearing system; stability; Hurwitz; Routh

PL

system wirnikowo-łożyskowy; Hurwitz; Routh

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2004
• Tom: Vol. 7, nr 1
• Strony: 131--149
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

El-Marhomy A. A. A. A.

• Department of Engineering, Mathematics and Physics, Faculty of Engineering, Ain Shams University, Cairo, Egypt

Bibliografia

• [1] Abdel-Sattar, N: Linear and Nonlinear Stability Analysis of Rotating Dynamical Systems with Elastic and Damped Supports, (2002), M. Sc. Thesis, Dept. of Eng. Math. & Phys., Fac. Of Eng., Ain Shams Univ., Cairo, Egypt.
• [2] El-Marhomy, A: On the translational whirling motion of rotor-bearing systems, J, Int. Math & Comp. Sci. (Math. Ser.), (1994), 7, 1, 73-84.
• [3] El-Marhomy, A: On dynamic response of disk-shaft-bearing systems, ASME. J. Modeling, Measurement of Control, (1998), 66, 2, 7-18.
• [4] Chivens, DR: The natural frequencies and critical speeds of a rotating flexible shaft-disk system, (1973), Ph.D. Thesis, Arizona State Univ.: Tempe, Arizona.
• [5] Kisk, RG and Gunter, EJ: Transient response of rotor-bearing systems, ASME J. Eng. for Industry, (1964), 682-693.
• [6] Chang, CO and Cheng, JW: Nonlinear Dynamics and Stability of a Rotating Shaft-Disk System, J. Sound and Vibrations, (1993), 160, 3, 433-454.
• [7] Pedersen, PT: On self excited whirl of rotors, Ingenieur-Archiv, (1973), 42, 267-286.
• [8] El-Marhomy, A: Dynamic stability of elastic rotor-bearing systems via Lyapunov's direct method, J. Applied Mechanics, (1991), 58, 1056-1065.