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Resonance and Instability of Blade-Shaft Coupled Bending Vibrations with In-plane Blade Vibration

Anegawa, Norihisa    (Department of Mechanical Engineering, National Defense Academy   ); Fujiwara, Hiroyuki    (Department of Mechanical Engineering, National Defense Academy   ); Okabe, Akira    (Hitachi, Ltd., Automotive Systems   ); Matsushita, Osami    (Department of Mechanical Engineering, National Defense Academy  );
  • 초록

    As a major component of a power plant, a turbine generator must have sufficient reliability. Longer blades have lower natural frequency, thereby requiring that the design of the shaft and blade takes into account the coupling of the blade vibration mode, nodal diameter k=0 and k=1 with vibration of the shaft. The present work analyzes the coupling of the translation motion of the shaft with in-plane vibration of the blades with k=1 modes. At a rotational speed ${\Omega}_1=|{\omega}_s-{\omega}_b|$ , the resonance of the blades has a relatively large amplitude. A violent coupled resonance was observed at a rotational speed ${\Omega}_2=|{\omega}_s+{\omega}_b|$ . Resonance in blade vibration at ${\Omega}_1=|{\omega}_s-{\omega}_b|$ was experimentally confirmed.


  • 주제어

    Blade-Shaft coupled vibration .   Bending vibration .   Resonance .   Instability .   In-plane vibration .   Turbine generator.  

  • 참고문헌 (13)

    1. Shigeho Tanaka, 1997, “Analysis of Blade-Disc Coupled Vibration,” Mitsubishi Heavy Industries Technical Review, Vol. 14,No. 2, pp. 134-142. 
    2. Yasumoto Kaneko, Kazushi Mori, Masayuki Tomii, Hiroharu Ohyama, 2006, “Reduction of Resonant Stress of Turbine Bladeby Use of Asymmetric Vane Spacing (Effect of Multi-resonance on Reduction of Vibratory Stress),” Transactions of the JapanSociety of Mechanical Engineers, Series C, Vol. 72, No. 720, pp. 26-32. 
    3. Osami Matsushita, Toyomi Yoshida, Kiyoshi Namura, Akira Okabe, Ryoichi Kaneko, 1990, “Torsional Vibration Analysis ofTurbine-Generator Blade Coupled System,” The Thermal and Nuclear Power, Vol. 41, No. 1, pp. 49-56. 
    4. A. Okabe, Y. Otawara, R. Kaneko, O. Matsushita, K. Namura, 1991, “An equivalent reduced modelling method and its application to shaft-blade coupled torsional vibration analysis of a turbine-generator set,” IMechE, Vol. 205, pp. 173-181. 
    5. Hiroshi Kanki, Kazuo Tsukuda, 1990, “Reliability Improvement of Blade Rotor Coupled Vibration Using Large TorsionalExciter,” Mitsubishi Heavy Industries Technical Review, Vol. 27, No. 1, pp. 1-3. 
    6. Hiroshi Mimuro, Eiji Tshunoda, Hitoshi Sakakida, 1988, “Torsional Vibration Evaluation Technique For Large-CapacitySteam Turbine Generators,” Toshiba Review, Vol. 43, No. 4, pp. 369-372. 
    7. Noriaki Hagiwara, Yasuo Ono, Hiroshi Iijima, 1985, “Natural frequencies of forward and backward whirling mode of blades(1st report, Analysis of influences of shaft and rotating effects),” Transactions of the Japan Society of Mechanical Engineers,Series C, Vol. 51, No. 463, pp. 555-564. 
    8. Hiroshi Iijima, Shuji Goto, Noriaki Hagiwara, 1985, “Natural frequencies of forward and backward whirling of blades. 2ndreport Experiment by models with flat blades fixed to a shaft in its middle,” Transactions of the Japan Society of MechanicalEngineers, Series C, Vol. 51, No. 472, pp. 3228-3234. 
    9. Giancarlo Genta, 2005, Dynamics of Rotating Systems, Springer. 
    10. Santos, I. F., Saracho, C. M., Smith, J. T. and Eiland, J., 2004, “Contribution to Experimental Validation of Linear and Non-Linear Dynamic Models for Representing Rotor-Blades Parametric Coupled Vibrations,” Journal of Sound and Vibration, Vol. 271,No. 3, pp. 883-904. 
    11. Christensen, R. H. and Santos, I. F., 2006, “Active Rotor-Blade Control Vibration using Shaft-Based Electro-MagneticActuation,” ASME Journal of Engineering for Gas Turbine and Power, Vol. 128, pp. 644-652. 
    12. Hiroto Oyama, Norihisa Anegawa, Hiroyuki Fujiwara, Osami Matsushita, 2007, “A method to evaluate eigenvalues of rotorbearingsystem using the modal open loop transfer function,” The 9th Asian International Conference of Fluid Machinery,No.AICFM9-266. 
    13. The Japan Society of Mechanical Engineers, 2001, Mechanical Engineers’ Handbook, Maruzen. 

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