Effective control of toroidal shells, e.g., cooling tubes, space colonies, inflatable space structures, etc., enhances their operational precision, accuracy, and reliability. Dynamics and control effectiveness of toroidal shell panels laminated with distributed piezoelectric sensor/actuator layers are investigated in this study. Mathematical model and finite element formulations of piezo(electric)-elastic shell structures are presented. Element and system matrix equations of the piezoelastic shell structronic (sensor/actuator/structure/control) system are defined and the system equations reveal the coupling of mechanical and electric (or control) fields. Free vibration analyses of two toroidal shells are investigated and compared favorably with published data. Two sensor/actuator configurations based on identical sensor/actuator sizes, namely the parallel configuration and the diagonal configuration, laminated on the toroidal shell are investigated and analysis data suggest that the diagonal configuration provides better control effects, as compared with the parallel configuration. The parallel configuration is ineffective to anti-symmetrical modes; the diagonal configuration is effective to most natural modes and ineffective to quad-anti-symmetrical modes with respect to the panel center.
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Technical Papers
Vibration Control of Toroidal Shells With Parallel and Diagonal Piezoelectric Actuators
H. S. Tzou,
H. S. Tzou
Department of Mechanical Engineering, Structronics Laboratory, University of Kentucky, Lexington, KY 40506-0503
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D. W. Wang
D. W. Wang
Department of Mechanical Engineering, Structronics Laboratory, University of Kentucky, Lexington, KY 40506-0503
Search for other works by this author on:
H. S. Tzou
Department of Mechanical Engineering, Structronics Laboratory, University of Kentucky, Lexington, KY 40506-0503
D. W. Wang
Department of Mechanical Engineering, Structronics Laboratory, University of Kentucky, Lexington, KY 40506-0503
Contributed by the Pressure Vessels and Piping Division for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division December 14, 2001; revised manuscript received December 20, 2002. Associate Editor: B. Blyukher.
J. Pressure Vessel Technol. May 2003, 125(2): 171-176 (6 pages)
Published Online: May 5, 2003
Article history
Received:
December 14, 2001
Revised:
December 20, 2002
Online:
May 5, 2003
Citation
Tzou , H. S., and Wang, D. W. (May 5, 2003). "Vibration Control of Toroidal Shells With Parallel and Diagonal Piezoelectric Actuators ." ASME. J. Pressure Vessel Technol. May 2003; 125(2): 171–176. https://doi.org/10.1115/1.1557635
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