Vibration Control of Toroidal Shells With Parallel and Diagonal Piezoelectric Actuators

[+] Author and Article Information
H. S. Tzou, D. W. Wang

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

J. Pressure Vessel Technol 125(2), 171-176 (May 05, 2003) (6 pages) doi:10.1115/1.1557635 History: Received December 14, 2001; Revised December 20, 2002; Online May 05, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Melo,  F. J. M. Q., and 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.
Zhang,  F., and Redekop,  D., 1992, “Surface Loading of a Thin-walled Toroidal Shell,” Comput. Struct., 43, pp. 1019–1028.
Yamada,  G., Kobayashi,  Y., Ohta,  Y., and Yokota,  S., 1989, “Free Vibration of a Toroidal Shell with Elliptical Cross-Section,” J. Sound Vib., 135, pp. 411–425.
Galletly,  G. D., and Galletly,  D. A., 1996, “Buckling of Complex Toroidal Shell Structures,” Thin-Walled Struct., 26, pp. 195–212.
Redekop,  D., and Xu,  B., 1999, “Vibration Analysis of Toroidal Panels Using the Differential Quadrature Method,” Thin-Walled Struct., 34, pp. 217–231.
Naboulsi,  S. K., Palazotto,  A. N., and Greer,  J. M., 2000, “Static-dynamic Analyses of Toroidal Shells,” J. Aerospace Eng., 13, pp. 110–121.
Tzou,  H. S., and Wang,  D. W., 2002, “Distributed Signals of Piezoelectric Laminated Toroidal Shell Structures,” J. Sound Vib., 254, pp. 203–218.
Tzou, H. S., 1992, “Thin-layer Distributed Piezoelectric Neurons and Muscles: Electromechanics and Applications,” Precision Sensors, Actuators, and Systems, H. S. Tzou and T. Fukuda, eds., Kluwer Academic Publishers, Dordrecht/Boston/London, pp. 175–218.
Tzou, H. S., Venkayya, V. B., and Hollkamp, J. J., 1998, “Orthogonal Sensing and Control of Continua with Distributed Transducers,” Dynamics and Control of Distributed Systems, H. S. Tzou and L. A. Bergman, eds., Cambridge University Press, pp. 304–370.
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 Yang,  R. J., 2000, “Nonlinear Piezothermoelastic Shell Theory Applied to Control of Variable-geometry Shells,” Theor Appl. Mech., 38, pp. 623–644.
Tzou,  H. S., and Tseng,  C. I., 1990, “Distributed Piezoelectric Sensor/Actuator Design for Dynamic Measurement/ Control of Distributed Parameter Systems: A Finite Element Approach,” J. Sound Vib., 138, pp. 17–34.
Tzou,  H. S., and Ye,  R., 1994, “Piezothermoelasticity and Precision Control of Piezoelectric Systems: Theory and Finite Element Analysis,” ASME J. Vibr. Acoust., 116, pp. 489–495.
Tzou,  H. S., and Ye,  R., 1996, “Analysis of Piezoelastic Structures with Laminated Piezoelectric Triangle Shell Element,” AIAA J., 34, pp. 110–115.
Ye,  R., and Tzou,  H. S., 2000, “Control of Adaptive Shells with Thermal and Mechanical Excitations,” J. Sound Vib., 231, pp. 1321–1338.
Tzou, H. S., 1993, Piezoelectric Shells (Distributed Sensing and Control of Continua), Kluwer Academic Publishers, Boston/Dordrecht.


Grahic Jump Location
A toroidal shell panel and its coordinate system
Grahic Jump Location
A laminated piezoelectric shell element
Grahic Jump Location
The first three mode shapes of the toroidal shell panel (Case 1). (Note: “+” and “−” denote the convex and the concave, respectively.)
Grahic Jump Location
The first four mode shapes of the toroidal shell panel (Case 2). (Note: “+” and “−” donate convex and concave, respectively.)
Grahic Jump Location
Toroidal shell panel laminated with three parallel piezoelectric strips
Grahic Jump Location
Toroidal shell panel laminated with diagonal piezoelectric strips
Grahic Jump Location
Free displacement response of the toroidal panel
Grahic Jump Location
Controlled response of the toroidal panel with parallel actuator (gain=5)
Grahic Jump Location
Free displacement response of the toroidal panel
Grahic Jump Location
Controlled response of the toroidal panel with diagonal actuator (gain=5)
Grahic Jump Location
Inferred damping ratios at different gains of the two actuator configurations




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In