DYNAMIC EFFECTS IN MECHANICAL STRUCTURES WITH GAPS AND IMPACTING - ORDER AND CHAOS

被引:40
作者
GOLDMAN, P
MUSZYNSKA, A
机构
[1] Betitly Rotor Dynamics Research Corporation, Minden, NV, 89423
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1994年 / 116卷 / 04期
关键词
D O I
10.1115/1.2930461
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The paper discusses orderly and chaotic dynamic responses of simple mechanical structures with clearances and impacting. Experimental results from a simulator of a rotating machine with one loose pedestal are presented, and a summary of analytical results for this case is given. The orderly and chaotic responses obtained through numerical integration are presented in the form of bifurcation diagrams. The second part of the paper discusses an existence of the main and higher order resonances in structures with clearances and impacting, which are excited by external periodic forces. For a one-degree-of-freedom nonlinear system, the application of a discontinuous variable transformation, followed by an averaging method provides analytical formulae describing the system response amplitudes and phases in the proximity of the main and harmonic resonances. A numerical example illustrates the results. The discussed methodology can be generalized for the cases of more complex systems.
引用
收藏
页码:541 / 547
页数:7
相关论文
共 25 条
[1]  
Afimiwala K.A., Mayne R.W., Optimum Design of an Impact Absorber, Transactions of the ASME, 96, 1, (1974)
[2]  
Bently D.E., Forced Subrotative Speed Dynamic Action of Rotating Machinery, Petroleum Mechanical Engineering Conference, (1974)
[3]  
Bogolubov N.N., Mitropolsky U.A., Asymptotic Methods in the Theory of Nonlinear Oscillations, (1974)
[4]  
Childs D.W., Fractional Frequency Rotor Motion Due to Nonsym-metric Clearance Effects, Journal of Engineering for Power, pp. 533-541, (1982)
[5]  
Choi Y.S., Noah S.T., Nonlinear Steady-State Response of a Rotor-Support System, ASME, Journal of Vibrations, Acoustics, Stress and Reliability in Design, pp. 255-261, (1987)
[6]  
Ehrich F.F., High Order Subharmonic Response of High Speed Rotors in Bearing Clearance, ASME, Journal of Vibrations, Acoustics, Stress and Reliability in Design, pp. 9-16, (1988)
[7]  
Ehrich F.F., Observations of Subcritical Superharmonic and Chaotic Response in Rotordynamics, Rotating Machinery and Vehicle Dynamics, 35, pp. 1-9, (1991)
[8]  
Goldman P., Muszynska A., Analytical and Experimental Simulation of Loose Pedestal Dynamic Effects on a Rotating Machine Vibrational Response, Rotating Machinery and Vehicle Dynamics, 35, pp. 11-17, (1991)
[9]  
Goldman P., Muszynska A., Analytical Model of the Impact Between Rotating and Nonrotating Elements and Its Application in Rotor-to-Stator Rubbing, Bently Rotor Dynamics Research Corporation, pp. 1-26, (1992)
[10]  
Goldman P., Muszynska A., Chaotic Behavior of Rotor/Stator Systems With Rubs, 93-GT-387, ASME Turbo Expo Conference, Cincinnati, OH