Browse > Article
http://dx.doi.org/10.5050/KSNVN.2008.18.1.003

Reduction of the Residual Vibrations of a Flexible Cantilever Beam Subjected to a Transient Translation or Rotation Motion  

Shin, Ki-Hong (안동대학교 기계공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.18, no.1, 2008 , pp. 3-10 More about this Journal
Abstract
In this paper, the optimal command input is considered in order to minimize the residual vibrations of a flexible cantilever beam when the beam simply changes its position by translation or rotation. Although a cantilever beam has many modes of vibration, it is shown that the consideration of the first mode is sufficient in this case. Thus, the problem becomes a single-degree-of-freedom system subjected to a ground excitation. Two simple methods are proposed to find the optimal command input based on the shock response spectrum (SRS). The first method is the simplest and can be applied to lightly damped cases, and the second method is applicable to more general problems. The second method gives almost the same results as the input shaping method. However the proposed method gives a easier and clearer control strategy.
Keywords
Residual Vibration; Shock Response Spectrum; Flexible Cantilever Beam; Ground Excitation; Input Shaping;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Daafouz, J., Garcia, G. and Bernussou, J., 1998, 'Robust Control of a Flexible Robot Arm Using the Quadratic D-stability Approach', IEEE Transactions on Control Systems Technology, Vol. 6, No. 4, pp. 524-533   DOI   ScienceOn
2 Lee, Y.-S., Elliott, S. J. and Gardonio, P., 2004, 'Active Structural Acoustical Control of a Smart Panel Using Direct Velocity Feedback', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 14, No. 10, pp. 1007-1014   과학기술학회마을   DOI
3 Singer, N. C. and Seering, W. P., 1990, 'Pre-shaping Command Inputs to Reduce System Vibration', Transactions of the ASME, Journal of Dynamic Systems, Measurement, and Control, Vol. 112, pp. 76-82   DOI
4 Kuo, C.-F. J. and Liu, S.-C., 1998, 'Modal Analysis and Control of a Rotating Euler-Bernoulli Beam Part II : Residual Vibration Control', Mathematical and Computer Modelling, Vol. 275, No. 5, pp. 93-97
5 Yim, J.-C., Ahn, T.-K. and Cho, J.-K., 2005, 'Reduction of Residual Vibration in Wafer Positioning System Using Input Shaping', Proceedings of the KSNVE Annual Autumn Conference, pp. 559-563
6 Sasiadek, J. Z. and Srinivasan, R., 1989, 'Dynamic Modelling and Adaptive Control of a Single-link Flexible Manipulator', Journal of Guidance, Control and Dynamics, Vol. 12, No. 6, pp. 838-844   DOI
7 Park, J. Y. and Chang, P. H., 1994, 'Residual Vibration Control of Robot with Flexible Joints Using Input Shaping ', Transactions of the KSME, Vol. 18, No. 11, pp. 3066-3074   과학기술학회마을
8 Hwang, J.-H., Kong, B.-S. and Lee, S.-C., 1997, 'Robust Input Shaping Controller for Slewing Uncertain Flexible Structures', Proceedings of the KSNVE Annual Spring conference, pp. 316-323
9 Kelly, R. D. and Richman, G., 1969, Modeling of the Slewing Control of a Flexible Structure, SVM-5-Principles and Techniques of Shock Data Analysis', Shock and Vibration Information Analysis Center
10 Harris, C. M. and Piersol, A. G., 2002, 'Harris' Shock and Vibration Handbook', Fifth Edition, Chapter 8, Transient Response to Step and Pulse Functions, McGraw-Hill
11 Garcia, E. and Inman, D. J., 1991, 'Modeling of the Slewing Control of a Flexible Structure', Journal of Guidance, Control and Dynamics, Vol. 14, No. 4, pp. 736-742   DOI
12 Diken, H., 2000, 'Vibration Control of a Rotating Euler-Bernoulli Beam', Journal of Sound and Vibration, Vol. 232, No. 3, pp. 541-551   DOI   ScienceOn