Browse > Article
http://dx.doi.org/10.5050/KSNVE.2012.22.4.383

Positive Position Feedback Control of Plate Vibrations Using Moment Pair Actuators  

Shin, Chang-Joo (부산대학교 기계공학부)
Hong, Chin-Suk (울산과학대학교 디지탈기계학부)
Jeong, Weui-Bong (부산대학교 기계공학부)
You, Ho-Young (울산과학대학교 디지탈기계학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.22, no.4, 2012 , pp. 383-392 More about this Journal
Abstract
This paper reports the active vibration control of plates using a positive position feedback(PPF) controller with moment pair actuators. The equations of motion of the plates under a force and moment pairs are derived and the equations of PPF controllers are formulated. The numerical active control system is then achieved. The effect of the parameters - gain and damping ratio - of the PPF controllers on the open loop transfer function was investigated mainly in terms of the system stability. Increasing the gain of the PPF controller tuned at a mode, the magnitude of the open loop transfer function is increased at all frequencies without changing the phase behavior. The increase of the damping ratio of the PPF controller leads to decrease the magnitude of the open loop transfer function and to modify its phase characteristics, ie, system stability. Based on the behavior of the gain and the damping ratio of the controller, PPF controller for reduction of the plate vibration can be achieved. Two PPF controllers are designed with their connection in parallel to control the two modes simultaneously. Each PPF controller is tuned at the $1^{st}$ and $2^{nd}$ modes, respectively. Their parameters were determined to remain the system to be stable based on the results of the parametric study. A significant reduction in vibration at the tuned modes can be obtained.
Keywords
Active Vibration Control; PPF; Open Loop Transfer Function;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Oh, J., Park, S., Hong, J. and Shin, J., 1998, Active Vibration Control of Flexible Cantilever Beam Using Piezo Actuator and Filtered-X LMS Algorithm, Journal of Mechanical Science and Technology, Vol. 12, No. 4, pp. 665-671.
2 Reza Moheimani, S. O., Halim, D. and Feming, A. J., 2003, Spatial Control of Vibration Theory and Experiments, World Scientific.
3 Preumont, A., 1997, Vibration Control of Active Structures, Kluwer Academic Publishers.
4 Elliott, S. J., Gardonio, P., Soros, T. C. and Bernan, M. J., 2992, Active Vibroacoustic Control with Multiple Local Feedback Loops, Journal of the Acoustic Society of America, Vol. 111, Issue 2, pp. 908-915.   DOI   ScienceOn
5 Balas, M. J., 1979, Direct Velocity Feedback Control of Large Space Structure, Journal of Guidance and Control, Vol. 2, Issue 3, pp. 252-253.   DOI
6 Cannon Jr., R. H. and Rosenthal, D. E., 1984, Experiments on Control of Flexible Structure with Noncolocated Sensors and Actuators, Journal of Guidance, Control and Dynamics, Vol. 7, Issue 5, pp. 546-553.   DOI   ScienceOn
7 Zhang, Q., Shelley, S. and Allemang, R. J., 1991, Active Damping Design of Flexible Structures Based on SISO and SIMO Noncollocated Sensor/Actuator Velocity Feedback, Journal of Dynamic System Measurement and Control -Transactions of the ASME, Vol. 113, Issue 2, pp. 259-266.   DOI
8 Gatti, G., Brennan, M. J. and Gardonio, P., 2007, Active Damping of a Beam Using a Physically Collocated Accelerometer and Piezo Electric Patch Actuator, Journal of Sound and Vibration, Vol. 303, Issues 3-5, pp. 798-813.   DOI   ScienceOn
9 Fanson, J. L. and Caughey, T. K., 1987, Positive Position Feedback Control for Large Space Structures, Proceedings of the 28th Structural Dynamics Conference, Monterey, CA, pp. 588-598.
10 Friswell, M. I. and Inman, D. J., 1999, The Relationship between Positive Position Feedback and Output Feedback Controllers," Smart Materials and Structures, Vol. 8, Issue 3, pp. 285-291.   DOI   ScienceOn
11 Kwak, M. K., Han, S. B. and Heo, S., 2004, The Stability Conditions, Performance and Design Methodology for the Positive Position Feedback Controller, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 14, No. 3, pp. 208-213.   DOI
12 Kwak, M. K. and Heo, S., 2007, Active Vibration Control of Smart Grid Structure by Multiinput and Multioutput Positive Position Feedback Controller, Journal of Sound and Vibration, Vol. 304, Issue 1-2, pp. 230-245.   DOI   ScienceOn
13 Meirovitch, L., 1967, Analysis Methods in Vibration, The Macmillan Company.
14 Warburton, G. B., 1951, The Vibration of Rectangular Plates, Proceeding of Institute of Mechanical Engineering, Vol. 168, pp. 371-384.