Transient Dynamic Analysis of Scroll Compressor Crankshaft Using Finite Element-Transfer Matrix Method

유한요소-전달행렬법에 의한 스크롤 압축기 크랭크축의 과도 동적 해석

  • 김태종 (정회원, 부산대학교 기계공학부 및 기계기술연구소)
  • Published : 2000.02.01

Abstract

The dynamic behavior of crankshaft-bearing system in scroll compressor has been investigated using the combined methodologies of finite elements and transfer matrices. The finite element formulation is proposed including the field element for a shaft section and the point element at balancer weight locations, bearing locations, etc., whereas the conventional method is used with the elements. The Houbolt method is used to consider the time march for the integration of the system equations. The linear stiffness and damping coefficients are calculated for a finite cylindrical fluid-film bearing by solving the Reynolds equation, using finite difference method. The orbital response of crankshaft supported on the linear bearing model is obtained, considering balancer weights of motor rotor. And, the steady state displacement of crankshaft are compared with a variation in balancer weight. The loci of crankshaft at bearing locations are composed of the synchronous whirl component and the non-synchronous whirl component.

Keywords

References

  1. Journal of Enigeering for Industry, Trans. ASME A Finite Element Model For Distributed Parameter Turborotor Systems Ruhl, R. L.;Booker, J. F.
  2. Journal of Engineering for Industry, Trans. ASME The Dynamic of Rotor-Bearing Systems Using Finite Elements Nelson, H. D.;McVaugh, J. M.
  3. Jorunal of Engineering for Power, Trans. ASME v.105 Nonlinear Analysis of Rotor-Bearing Systems Using Component Mode Synthesis Nelson, H. D.;Meacham, W. L.
  4. Journal of Vibration and Acoustics, Trans. ASME v.112 Transient Response by Component Modal Synthesis Method Yee, Eric K. L.;Tsuei, Y. G.
  5. American Institute of Aeronautics and Astronautics Journal v.3 no.2 Reduction of Stiffness and Mass Matrices Guyan, R. J.
  6. Computers and Structures v.23 no.4 A New Approach for Plate Vibration;Combination of Transfer Matrix and Finite-Element Technique Dokainish, M. A.
  7. Computers and Structures v.23 no.4 A New Transfer Matrix Method for Response Analysis and Large Dynamic Systems Kumar, A. S.;Sankar, T. S.
  8. Journal of Vibration, Acoustics, Stress, and Reliability in Design, Trans, ASME v.110 On the Transient Analysis of Rotor-Bearing Systems Subbiah, R.;Rieger, N. F.
  9. Journal of the Aeronautical Sciences v.17 A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft Houbolt, J. C.
  10. Journal of Applied Mechanics, Trans, ASME v.55 Transient Dynamic Analysis of Rotors Using the Combined Methodologies of Finite Elements and Transfer Matrix Subbiah, R.;Kumar, A. S.
  11. 대한기계학회논문집 A권 v.22 no.8 저널 베어링의 공동현상을 고려한 스크롤 압축기 크랭크축의 동적 거동 해석 김태종;한동철
  12. Trans. ASLE v.29 Rotational Stiffness and Damping Coefficients of Fluid Film in a Finite Cylindrical Bearing Subbiah, R.;Bhat, R. B.
  13. Journal of Tribology, Trans. ASME v.109 Review of the Concept of Dynamic Coefficients for Fluid Film Journal Bearings Lund, J. W.
  14. Numeical Recipes Press, W. H.;Flannery, B. P.