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  • 1985-1989  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Acta mechanica solida Sinica 1 (1988), S. 39-50 
    ISSN: 0894-9166
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract This paper clarifies the nonlinear and nonstationary characteristics of transient vibration of a single-disk rotor system on anisotropic supports passing through critical speed under limited energy supply. By analytical dynamics and Bogoliubov-Mitropolskii asymptotic method, the governing equations of motion of the system are reduced to a set of first order differential equations capable of numerical integral solution. The influences of gyroscopic effect of the rotor, external and internal damping as well as the initial phase angle of static unbalance on transient response are discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Acta mechanica solida Sinica 2 (1989), S. 423-436 
    ISSN: 0894-9166
    Keywords: transient response ; distributed mass rotor ; passing through critical speed ; asymptotic method ; gyroscopic effect ; anisotropic support
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract In this paper, the Riccati transfer matrix method and the component theory of forward and backward whirls are used to the eigenproblem of damped free whirling vibration of a flexible rotor with arbitrarily distributed mass on isotropic or anisotropic supports, with the gyroscopic effect taken into account to find out its critical speeds and corresponding vibrational shape functions. The generalized damped mode theory is developed and extended, which is employed in combination with the Bogoliubov-Mitropolskii asymptotic method to deduce two sets of first order differential equations to calculate the transient response of the rotor with limited power supply passing through its critical speeds in forward whirl and backward whirl respectively. The coupling phenomenon of the rotor through two neighboring critical speeds is also analyzed.
    Type of Medium: Electronic Resource
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