Stability of limit cycles in frictionally damped and aerodynamically unstable rotor stages |
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Authors: | A Sinha JH Griffin |
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Institution: | Department of Mechanical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A.;Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213, U.S.A. |
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Abstract: | This paper deals with the stability of limit cycles (Steady-State Oscillations) associated with the multi-degree-of-freedom model of a frictionally damped and aerodynamically unstable rotor stage. By using the first order averaging technique, a generalized criterion has been established to sort out those unstable limit cycles which govern the maximum transient amplitude beyond which the rotor stage becomes unstable. The stability of the remaining steady-state solutions is analyzed by linearizing the averaged system of differential equations. Numerical results are discussed for three-, four- and five-bladed disks. |
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