A Method of Input Shaper Design Using Virtual Mode for Undamped Vibration Systems

가상모드를 이용한 비감쇠 진동계 입력성형기 설계 방법

  • 홍성욱 (금오공과대학교 기계공학부) ;
  • 최훈석 (금오공과대학교 기전공학과) ;
  • 서용규 (금오공과대학교 기전공학과) ;
  • 박상원 (금오공과대학교 기전공학과)
  • Published : 2008.12.15

Abstract

Input shaping is an efficient tool to eliminate transient and residual vibration caused by motion of mechanical systems. However, the rise time of the systems tends to increase due to the presence of input shapers. This paper is concerned with the rise time reduction when using input shaping. To this end, this paper proposes an input shaper design method for an undamped single mode vibration system using a virtual mode, which is not an actual mode but reflected in the design process. The essence of the proposed method is to design a three-impulse input shaper as if a single mode system has two modes: one actual mode and one virtual mode. The natural frequency of the virtual mode is a design parameter to change the rise time of the system. This paper discusses the performance of the proposed input shapers by simulation.

Keywords

References

  1. Singer, N. C. and Seering, W. P., 1990, "Preshaping Command Inputs to Reduce System Vibration," Journal of Dynamic Systems, Measurement and Control, Vol. 112, pp. 76-82 https://doi.org/10.1115/1.2894142
  2. Singhose, W. E. and Seering, W. P., 2007, Command Generation for Dynamic Systems, Lulu.com, USA
  3. Singhose, W., Porter, L., Kenison, M., and Kriikku, E., 2000, "Effects of Hoisting on the Input Shaping Control of Gantry Cranes," Control Engineering Practice, Vol. 8, pp. 1159-1165 https://doi.org/10.1016/S0967-0661(00)00054-X
  4. Sorensen, K. A., Huey, J., Singhose, W., Lawrence, J., and Frakes, D., 2006, "Human Operator Performance Testing Using an Input-Shaped Bridge Crane," ASME J. of Dynamic Systems, Measurement, and Control, Vol. 128, pp. 835-841 https://doi.org/10.1115/1.2361321
  5. Sorensen, K., Singhose, W., and Dickerson, S., 2007, "A Controller Enabling Precise Positioning and Sway Reduction in Bridge and Gantry Cranes," Control Engineering Practice, Vol. 15, pp. 825-837 https://doi.org/10.1016/j.conengprac.2006.03.005
  6. Andresen, U. and Singhose, W., 2004, "A Simple Procedure for Modifying High-Speed Cam Profiles for Vibration Reduction," ASME J. of Mechanical Design, Vol. 126, pp. 1105-1108 https://doi.org/10.1115/1.1798231
  7. Park, S. W., Hong, S. W., Choi, H. S., and Jang, J. W., 2008, "Dynamic Modeling and Input Shaping Control of a Positioning Stage," Trans. KSMTE, Vol. 17, No. 2, pp. 83-89
  8. Park, S. W., Hong, S. W., Choi, H. S., and Singhose, W. E., 2007, "Discretization Effect of Real-time Input Shaping in Residual Vibration Reduction for Precise XY Stage," Trans. KSMTE, Vol. 16, No. 4, pp.71-78
  9. Jang, J. W., Park, S. W., and Hong, S. W., 2008, "Command Generation Method for High-speed and Precise Positioning of Positioning Stages," J. of the KSPE, Vol. 25, No. 10, pp. 122-129
  10. Hong, S. W., Park, S. W., and Danielson, J., 2008, "A New Method for Manufacturing Machine Vibration Reduction Using Multi-mode Input Shapers," Proc. of the 2008 International Symposium on Flexible Automation, Atlanta, GA, USA
  11. Park, S. W., Hong, S. W., and Danielson, J., 2008, "A New Design Method of Multi-mode Input Shapers to Eliminate Residual Vibration in Dynamic Systems," Submitted to J. of the KSPE