Browsing by Author "LIU, SL"

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A MODIFIED TRANSFER-MATRIX METHOD FOR LINEAR ROTOR-BEARING SYSTEMS
(1991-09-01)
LEE, AC
;
KANG, Y
;
LIU, SL
;
機械工程學系
;
Department of Mechanical Engineering
The steady-state responses of linear flexible rotor-bearing systems are analyzed by the modified transfer matrix method. The transfer matrix has the advantage of solving the problems in frequency domain with fixed matrix size. This makes the method more economical in analyzing a large degree-of-freedom rotor system than many time-marching integrating methods. In this paper, the modifications of transfer matrix method include that the transfer matrix of shaft is derived from the "continuous system" concept instead of conventional "lumped system" concept, and the paper tries to extend the transfer matrix method to fit synchronous elliptical orbit and nonsynchronous multi-lobed whirling orbit. To demonstrate the applications of the method, three examples are presented; two synchronous and one nonsynchronous.
STEADY-STATE ANALYSIS OF A ROTOR MOUNTED ON NONLINEAR BEARINGS BY THE TRANSFER-MATRIX METHOD
(1993-06-01)
LEE, AC
;
KANG, Y
;
LIU, SL
;
機械工程學系
;
Department of Mechanical Engineering
The steady-state responses of subharmonic, superharmonic and synchronous vibrations of a flexible rotor supported by bearings of power nonlinearity (i.e. the bearing force satisfies a power law of the deflection) are studied. The transfer matrix method is applied to formulate the transfer matrices of nonlinear rotor-bearing systems with MDOF (multi-degree of freedom) and in conjunction with the harmonic balance method to obtain the steady-state responses. Two examples of rotor-bearing systems with cubic nonlinearity spring characteristics are given to investigate the effects of nonlinearity on frequency response and the whirling orbits.