Main Article Content
Abstract
Present study investigates the problem of determining the control effectiveness of piezoelectric patches for controlling vibration in higher modes of clamped-simply supported plates. A modal analysis approach is used to identify high average strain (or curvature) locations, as desired patch locations and represented in the form of geometrical parameters. The 9-patch configuration is used and modal analysis of integrated structure is carried out, which clearly shows that the initial patch configuration yields better effectiveness for square plates. In case of rectangular plates, the above strategy provides mixed results for the patch distribution effectiveness, for the modes considered here. Next, a concept of ‘stretching’ the patch distribution is applied for improving the effectiveness of the patch distribution and a Fig. of Merit (FOM), based on modal strains, is defined for quantifying the effectiveness. The results show that particular patch distribution geometry is suitable only for a specific group of modes. In view of this, a combined Fig. of Merit, based on the concept of modal weights, is also introduced, which has the potential to help in determining a suitable patch distribution through a formal optimization methodology. The control effectiveness comparison study of the initial and stretched patch configuration of plates also supports the quantification of control effectiveness of patch configuration through the FOM.
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References
- Crawley, E. F. and De Luis, J., "Use of Piezoelectric Actuators as Element of Intelligent Structures", Journal of American Institute of Aeronautics and Astronautics, pp. 1373-1385, 1987.
- Tzou, H.S., Ye, R., and Ding J.H., "A New X-Actuator Design for Dual Bending/Twisting Control of Wings", Journal of Sound and Vibration, 241(2), pp.
- -281, 2001.
- Yaman, Y., Caliskan, T., Nalbantoglu, V., Prasad, E., and Waechter, D., "Active Vibration Control of a Smart Plate", ICAS 2002, Congress.
- Young-Hun, L., "Finite-Element Simulation of Closed Loop Vibration Control of a Smart Plate under Transient Loading", Smart Materials and Structures, 12, pp. 272-286, 2003.
- Halim, D. and Moheimani, S.O.R., "An Optimization Approach to Optimal Placement of Collocated Piezoelectric Actuators and Sensors on a Thin Plate", Mechatronics, 13, pp. 27-47, 2003.
- Table 5: Control effectiveness comparison of initial and stretched patch configuration of simply supported (longer edges) and clamped plates of various aspect ratio MAY 2006 EFFECTIVENESS OF DISCRETE PIEZO-PATCH LOCATIONS 141 6. Joshi, A. and Khot, S.M., "Smart Actuator Effectiveness Improvement Through Modal Analysis", Proc.
- of VETOMAC-3 and ACSIM 2004 International Conference, 6-9 December 2004 New Delhi, 142-
- , 2004.
- Hashemi, S. H. and Arsanjani, M., "Exact Characteristic
- Equations for Some of Classical Boundary
- Conditions of Vibrating Moderately Thick Rectangular
- Plates", International Journal of Solids and
- Structures, 42, 819-853, 2005.
- ANSYS Analysis guide, ANSYS Software (Release
- ANSYS Inc., Canonsburg, PA, USA, 2003.
References
Crawley, E. F. and De Luis, J., "Use of Piezoelectric Actuators as Element of Intelligent Structures", Journal of American Institute of Aeronautics and Astronautics, pp. 1373-1385, 1987.
Tzou, H.S., Ye, R., and Ding J.H., "A New X-Actuator Design for Dual Bending/Twisting Control of Wings", Journal of Sound and Vibration, 241(2), pp.
-281, 2001.
Yaman, Y., Caliskan, T., Nalbantoglu, V., Prasad, E., and Waechter, D., "Active Vibration Control of a Smart Plate", ICAS 2002, Congress.
Young-Hun, L., "Finite-Element Simulation of Closed Loop Vibration Control of a Smart Plate under Transient Loading", Smart Materials and Structures, 12, pp. 272-286, 2003.
Halim, D. and Moheimani, S.O.R., "An Optimization Approach to Optimal Placement of Collocated Piezoelectric Actuators and Sensors on a Thin Plate", Mechatronics, 13, pp. 27-47, 2003.
Table 5: Control effectiveness comparison of initial and stretched patch configuration of simply supported (longer edges) and clamped plates of various aspect ratio MAY 2006 EFFECTIVENESS OF DISCRETE PIEZO-PATCH LOCATIONS 141 6. Joshi, A. and Khot, S.M., "Smart Actuator Effectiveness Improvement Through Modal Analysis", Proc.
of VETOMAC-3 and ACSIM 2004 International Conference, 6-9 December 2004 New Delhi, 142-
, 2004.
Hashemi, S. H. and Arsanjani, M., "Exact Characteristic
Equations for Some of Classical Boundary
Conditions of Vibrating Moderately Thick Rectangular
Plates", International Journal of Solids and
Structures, 42, 819-853, 2005.
ANSYS Analysis guide, ANSYS Software (Release
ANSYS Inc., Canonsburg, PA, USA, 2003.