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  • 1
    Electronic Resource
    Electronic Resource
    Bifurcation analysis for a modified Jeffcott rotor with bearing clearances (1990)
    Springer
    Nonlinear dynamics 1 (1990), S. 221-241 
    Details
    ISSN: 1573-269X
    Keywords: Nonlinear ; rotor ; clearance ; chaos
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A HB (Harmonic Balance)/AFT (Alternating Frequency/Time) technique is developed to obtain synchronous and subsynchronous whirling motions of a horizontal Jeffcott rotor with bearing clearances. The method utilizes an explicit Jacobian form for the iterative process which guarantees convergence at all parameter values. The method is shown to constitute a robust and accurate numerical scheme for the analysis of two dimensional nonlinear rotor problems. The stability analysis of the steady-state motions is obtained using perturbed equations about the periodic motions. The Floquet multipliers of the associated Monodromy matrix are determined using a new discrete HB/AFT method. Flip bifurcation boundaries were obtained which facilitated detection of possible rotor chaotic (irregular) motion as parameters of the system are changed. Quasi-periodic motion is also shown to occur as a result of a secondary Hopf bifurcation due to increase of the destabilizing cross-coupling stiffness coefficients in the rotor model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01858295
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    Paper (German National Licenses)
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  • 2
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    Steady-state analysis of a nonlinear rotor-housing system (1990)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: The periodic steady state response of a high pressure oxygen turbopump (HBOTP) of a Space Shuttle main engine (SSME), involving a clearance between the bearing and housing carrier, is sought. A harmonic balance method utilizig Fast Fourier Transform (FFT) algorithm is developed for the analysis. An impedance method is used to reduce the number of degrees of freedom to the displacements at the bearing clearance. Harmonic and subharmonic responses to imbalance for various system parameters are studied. The results show that the computational technique developed in this study is an effective and flexible method for determining the stable and unstable periodic response of complex rotor-housing systems with clearance type nonlinearity.
    Keywords: MECHANICAL ENGINEERING
    Type: ASME PAPER 90-GT-328
    Format: text
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    NASA TECHNICAL REPORTS
  • 3
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    Periodic response of multi-disk rotors with bearing clearances (1991)
    In:  Other Sources
    Details
    Publication Date: 2019-07-12
    Description: The forced steady state response of a multi-disk rotor system involving a clearance at one of the bearings is determined by using a harmonic balance approach. The impedance method is applied to each of the harmonic steady state components in order to reduce the system to its displacement at the nonlinear bearing support. The results reveal the interrelated roles of the bearing clearance, mass eccentricity and side force in producing dangerous subharmonics. The significant effects of the strong nonlinearity of a bearing clearance are studied as related to the various system parameters. The results show that the approach developed in this study is computationally superior to numerical integration methods in analyzing multi-disk rotor systems with strong nonlinearity.
    Keywords: MECHANICAL ENGINEERING
    Type: Journal of Sound and Vibration (ISSN 0022-460X); 144; 381-395
    Format: text
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    NASA TECHNICAL REPORTS
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