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A Study on the Characteristics of Frequency Response Functions for Rotor System with Anisotropic Stator and Asymmetric Rotor

비등방 정지부 및 비대칭 회전부를 갖는 회전체의 주파수응답함수 특성에 관한 연구

  • 한동주 ((주)썬에어로시스 기술연구소)
  • Published : 2005.10.01

Abstract

Based upon the derived analytical model and equation of motion for the general rotor system with anisotropic stator and asymmetric rotor treated as a periodically time-varying system, the series of equations are structured by associating with the time modulated coefficients. The frequency response functions (FRFs) expressed by physical parameters are derived in such a convenient way from the direct inverse matrices of the Fourier transformation of those series of equations, from which the characteristics are analyzed and the properties are suggested.

주기적 시변계인 비등방 정지부 및 비대칭 회전부를 갖는 일반 회전체에 대해서, 유도된 해석 모델 및 운동방정식으로부터 시 변조계수를 이용하여 급수방정식을 구성하였다. 이들 운동방정식의 물리적인 변수를 이용한 직접 퓨리에변환의 역행렬로부터 주파수응답함수를 용이하게 유도하였고, 이들의 특성 및 경향을 분석 제시하였다.

Keywords

References

  1. Lee, C. W., 'Vibration Analysis of Rotors,' Kluwer Academic Publishers, 1993
  2. Lee, C. W., and Joh, C. Y., 'Development of the Use of Directional Frequency Response Functions for the Diagnosis of Anisotropy and Asymmetry in Rotating Machinery: Theory,' Mechanical Systems and Signal Processing, Vol. 8, No. 6, 1994, pp. 665-678 https://doi.org/10.1006/mssp.1994.1047
  3. 서정환, 홍성욱, 이종원, '변조좌표계를 이용한 비대칭 회전체계의 일반화된 모드해석' 한국소음진동공학회, 제13권, 제10호, 2003, pp. 813-820
  4. Han, D. J., 'A Study on the Rotor Type Identification Method' KSAS International Journal, Vol. 5, No. 1, May, 2004, pp. 39-45
  5. Meirovitch, Methods of Analytical Dynamics, McGraw Hill, 1970
  6. Muszynska, A., 'Modal Testing of Rotor/Bearing Systems, International J. of Analytical and Experimental Modal Analysis', Vol.1, 1996, pp. 15-34
  7. Kramer E., 'Dynamics of Rotors and Foundations', Springer-Verlag, 1993
  8. Genta, B., 'Whirling of Unsymmetrical Rotors : A Finite Element Approach Based on Complex Co-ordinates', Journal of Sound and Vibration, 1988, Vol. 124(1), pp. 27-53 https://doi.org/10.1016/S0022-460X(88)81404-4
  9. Ardayfio, D. and Frohrib, D. A., 'Instability of an Asymmetric Rotor with Asymmetric Shaft Mounted on Symmetric Elastic Supports', Journal of Engineering for Industry, 1976, pp. 1161-1165
  10. Huang, Y. and McColl, W. F., 'Analytical Inversion of General Tridiagonal Matrices', J. Phys. A: Math. Gen. 30, 1997, pp. 7919-7933 https://doi.org/10.1088/0305-4470/30/22/026