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TECHNICAL PAPERS

Micro-Control Actions and Location Sensitivity of Actuator Patches Laminated on Toroidal Shells

[+] Author and Article Information
H. S. Tzou

Fellow ASMEe-mail: hstzou@engr.uky.edu

W. K. Chai, D. W. Wang

Department of Mechanical Engineering, Structronics Lab, University of Kentucky, Lexington, KY 40506-0503

J. Vib. Acoust 126(2), 284-297 (May 04, 2004) (14 pages) doi:10.1115/1.1687398 History: Received May 01, 2002; Revised September 01, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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References

Naboulsi,  S. K., Palazotto,  A. N., and Greer,  J. M., 2000, “Static-dynamic Analyses of Toroidal Shells,” Journal of Aerospace Engineering, 13, pp. 110–121.
Redekop,  D., Xu,  B., and Zhang,  Y. M., 1999, “Stability of A Toroidal Fluid-Containing Shell,” Int. J. Pressure Vessels Piping, 76, pp. 575–581.
Galletly,  G. D., and Galletly,  D. A., 1996, “Buckling of Complex Toroidal Shell Structures,” Thin-Walled Struct., 26, pp. 195–212.
Leung,  A. Y. T., and Kwok,  T. C., 1995, “Dynamic Stiffness Analysis of Toroidal Shells,” Thin-Walled Struct., 21, pp. 43–64.
Gavelya,  S. P., and Kononenko,  N. I., 1975, “Characteristic Oscillation and Waves on a Toroidal Shell,” Prikl. Mekh., 11(1), pp. 41–46.
Melo,  F. J. M. Q., and de Castro,  P. M. S. T., 1997, “Linear Elastic Stress Analysis of Curved Pipes Under Generalized Loads Using A Reduced Integration Finite Ring Element,” J. Strain Anal. Eng. Des., 32, pp. 47–59.
Huang,  D. W., Redekop,  D., and Xu,  B., 1997, “Natural Frequencies and Mode Shapes of Curved Pipes,” Compos. Struct., 63, pp. 465–473.
Leung,  A. Y. T., and Kwok,  T. C., 1994, “Free Vibration Analysis of A Toroidal Shell,” Thin-Walled Struct., 19, pp. 317–332.
Gabbert, U., and Tzou, H. S., Editors, 2001, Smart Structures and Structronic Systems, Kluwer Academic Publishers, Dordrecht/Boston/London.
Tzou, H. S., and Bergman, L. A., (Ed.), 1998, Dynamics and Control of Distributed Systems, Cambridge University Press, New York.
Liu,  B., and Tzou,  H. S., 1998, “Distributed Photostrictive Actuation and Opto-piezothermoelasticity Applied to Vibration Control of Plates,” ASME J. Vibr. Acoust., 120, pp. 937–943.
Tzou,  H. S., Zhong,  J. P., and Hollkamp,  J. J., 1994, “Spatially Distributed Orthogonal Piezoelectric Shell Actuators: Theory and Applications,” J. Sound Vib., 177(3), pp. 363–378.
Tzou,  H. S., Bao,  Y., and Venkayya,  V. B., 1996, “Study of Segmented Transducers Laminated on Cylindrical Shells, Part-2: Actuator Patches,” J. Sound Vib., 197(2), pp. 225–249.
Tzou,  H. S., Ding,  J. H., and Hagiwara,  I., 2002, “Micro-control Actions of Distributed Actuators Laminated on Precision Paraboloidal Structronic Shells,” JSME International Journal, a Special Issue on Dynamics and Design of Continuous Systems, Series C, 45(1), pp. 8–15.
Zhou,  Y. H., and Tzou,  H. S., 2000, “Control of Nonlinear Piezoelectric Circular Shallow Spherical Shells,” Journal of Solids and Structures, 37, pp. 1663–1677.
Tzou,  H. S., Bao,  Y., and Zhou,  Y., 1997, “Nonlinear Piezothermoelasticity and Multi-Field Actuations, Part-1: Nonlinear Anisotropic Piezothermoelastic Shell Laminates; Part-2: Control of Nonlinear Buckling and Dynamics,” ASME J. Vibr. Acoust., 119, pp. 374–389.
Tzou,  H. S., and Wang,  D. W., 2002, “Micro-sensing Characteristics and Modal Voltages of Linear/nonlinear Toroidal Shells,” J. Sound Vib., 254, pp. 203–218.
Tzou, H. S., 1993, Piezoelectric Shells: Distributed Sensing and Control of Continua, Kluwer Academic Publishers, Boston/Dordrecht.

Figures

Grahic Jump Location
Toroidal shell section laminated with piezoelectric actuators
Grahic Jump Location
Micro-control actions of the (m=1,n=1) toroidal shell mode. Top-left: (T⁁mn)ϕ,mem; Top-right: (T⁁mn)ψ,mem; Bottom-left: (T⁁mn)ϕ,bend; Bottom-right: (T⁁mn)ψ,bend.
Grahic Jump Location
Micro-control actions of the (m=2,n=1) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=3,n=1) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=4,n=1) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=1,n=2) toroidal shell mode. Top-left: (T⁁mn)ϕ,mem; Top-right: (T⁁mn)ψ,mem; Bottom-left: (T⁁mn)ϕ,bend; Bottom-right: (T⁁mn)ψ,bend.
Grahic Jump Location
Micro-control actions of the (m=2,n=2) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=3,n=2) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=4,n=2) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=1,n=3) toroidal shell mode. Top-left: (T⁁mn)ϕ,mem; Top-right: (T⁁mn)ψ,mem; Bottom-left: (T⁁mn)ϕ,bend; Bottom-right: (T⁁mn)ψ,bend.
Grahic Jump Location
Micro-control actions of the (m=2,n=3) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=3,n=3) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=4,n=3) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=1,n=4) toroidal shell mode. Top-left: (T⁁mn)ϕ,mem; Top-right: (T⁁mn)ψ,mem; Bottom-left: (T⁁mn)ϕ,bend; Bottom-right: (T⁁mn)ψ,bend.
Grahic Jump Location
Micro-control actions of the (m=2,n=4) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=3,n=4) toroidal shell mode
Grahic Jump Location
Micro-control actions of the (m=4,n=4) toroidal shell mode

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