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TECHNICAL PAPERS

Actuator Placement and Micro-Actuation Efficiency of Adaptive Paraboloidal Shells

[+] Author and Article Information
H. S. Tzou, J. H. Ding

Structronics Lab, Department of Mechanical Engineering, University of Kentucky, Lexington, Kentucky 40506-0503 USAe-mail: hstzou@engr.uky.edu

J. Dyn. Sys., Meas., Control 125(4), 577-584 (Jan 29, 2004) (8 pages) doi:10.1115/1.1636199 History: Received May 31, 2001; Revised April 23, 2003; Online January 29, 2004
Copyright © 2003 by ASME
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References

Tzou,  H. S., Zhong,  J. P., and Hollkamp,  J. J., 1994, “Spatially Distributed Orthogonal Piezoelectric Shell Actuators (Theory and Applications),” Journal of Sound and Vibration, 177(3), pp. 363–378.
Tzou, H. S., 1993, Piezoelectric Shells: Distributed Sensing and Control of Continua, Kluwer Academic Publishers, Boston/Dordrecht.
Qiu,  J., and Tani,  J., 1995, “Vibration Control of a Cylindrical Shell Using Distributed Piezoelectric Sensors and Actuators,” J. Intell. Mater. Syst. Struct., 6(4), July, pp. 474–481.
Faria,  A. R., and Almeida,  S. F. M., 1998, “Axisymmetric Actuation of Composite Cylindrical Thin Shells with Piezoelectric Rings,” Smart Mater. Struct., 7(6), pp. 843–850.
Tzou,  H. S., Bao,  Y., and Venkayya,  V. B., 1996, “Parametric Study of Segmented Transducers Laminated on Cylindrical Shells, Part 2. Actuator Patches,” Journal of Sound and Vibration, 197(2), Oct., pp. 225–249.
Banks, H. T., Smith, R. C., and Wang, Y., 1996, Smart Material Structure, Modeling, Estimation, and Control, pp. 40–44, John Wiley & Sons, Masson, Paris, 1996.
Saravanan,  C., Ganesan,  N., and Ramamurti,  V., 2000, “Analysis of Active Damping in Composite Laminate Cylindrical Shells of Revolution with Skewed PVDF Sensors/Actuators,” Composite Structures, 48(4), Apr, pp. 305–318.
Jayachandran,  V., and Sun,  J. Q., 1998, “Modeling Shallow-spherical-shell Piezoceramic Actuators as Acoustic Boundary Control Elements,” Smart Mater. Struct., 7(1), pp. 72–84.
Birman,  V., Griffin,  S., and Knowles,  G., 2000, “Axisymmetric Dynamics of Composite Spherical Shells with Active Piezoelectric/Composite Stiffeners,” Acta Mechanica, 141(1), pp. 71–83.
Ghaedi, S. K., and Misra, A. K., 1999, “Active Control of Shallow Spherical Shells Using Piezoceramic Sheets,” Proceedings of SPIE—The International Society for Optical Engineering, v 3668 n II, Mar 1–4, 1999, pp. 890–912.
Tzou,  H. S., Wang,  D. W., and Chai,  W. K., 2002, “Dynamics and Distributed Control of Conical Shells Laminated with Full and Diagonal Actuators,” Journal of Sound and Vibration., 256(1), pp. 65–79.
Tzou,  H. S., and Wang,  D. W., 2002, “Distributed Dynamic Signal Analysis of Piezoelectric Laminated Linear and Nonlinear Toroidal Shells,” Journal of Sound and Vibration., 254(2), pp. 203–218.
Tzou,  H. S., and Smithmaitrie,  P., 2002, “Sensor Electromechanics and Distributed Signal Analysis of Piezo(electric)-Elastic Spherical Shells,” Mech. Syst. Signal Process., 16(2-3), pp. 185–199.
Tzou, H. S. and Ding, J. H., 2001, “Distributed Modal Signals of Nonlinear Paraboloidal Shells with Distributed Neurons,” Paper No. Vib.21545, 2001 Design Technical Conference, Pittsburgh, PA, Sept. 9–12, 2001.
Tzou,  H. S., Ding,  J. H., and Hagiwara,  I., 2002, “Micro-control Actions of Segmented Actuator Patches Laminated on Deep Paraboloidal Shells,” JSME Int. J. Series C, 45(1), pp. 8–15.
Mazurkiewicz, Z. E., and Nagorski, R. T., 1991, Shells of Revolution, PWN-Polish Scientific Publishers, Warsaw, pp. 7–8.
Tzou,  H. S., and Bao,  Y., 1997, “Nonlinear Piezothermoelasticity and Multi-Field Actuations, Part 1: Nonlinear Anisotropic Piezothermoelastic Shell Laminates,” ASME J. Vibr. Acoust., 119, July, pp. 374–389.
Glockner,  P. G., and Tawardros,  K. Z., 1973, “Experiments on Free Vibration of Shells of Revolution,” Exp. Mech., 13(10), Oct, pp. 411–421.

Figures

Grahic Jump Location
A paraboloidal shell of revolution laminated with distributed actuator.
Grahic Jump Location
A segmented distributed actuator laminated on the paraboloidal shell.
Grahic Jump Location
The standard paraboloidal shell with segmented actuator patches.
Grahic Jump Location
Modal control forces at various actuator locations, 1st mode, Δϕ=0.1. (□: (T⁁m)Total, ○: (T⁁m)ψ,mem, ▵: (T⁁m)ϕ,mem, ×: (T⁁m)ϕ,bend, ⋄: (T⁁m)ψ,bend)
Grahic Jump Location
Modal control forces at various actuator locations, 2nd mode, Δϕ=0.1.
Grahic Jump Location
Modal control forces at various actuator locations, 3rd mode, Δϕ=0.1.
Grahic Jump Location
Effective actuator sizes at various patch locations, Δϕ=0.1.
Grahic Jump Location
Normalized modal control forces at various locations, 1st mode, Δϕ=0.1. (□: (T⁁m)Total, ○: (T⁁m)ψ,mem, ▵: (T⁁m)ϕ,mem, ×: (T⁁m)ϕ,bend, ⋄: (T⁁m)ψ,bend)
Grahic Jump Location
Normalized modal control forces at various locations, 2nd mode, Δϕ=0.1.
Grahic Jump Location
Normalized modal control forces at various locations, 3rd mode, Δϕ=0.1.
Grahic Jump Location
Modal control forces at various actuator locations, 1st mode, Δϕ=0.2. (□: (T⁁m)Total, ○: (T⁁m)ψ,mem, ▵: (T⁁m)ϕ,mem, ×: (T⁁m)ϕ,bend, ⋄: (T⁁m)ψ,bend)
Grahic Jump Location
Modal control forces at various actuator locations, 2nd mode, Δϕ=0.2.
Grahic Jump Location
Modal control forces at various actuator locations, 3rd mode, Δϕ=0.2.
Grahic Jump Location
Effective actuator sizes at various patch locations, Δϕ=0.2.
Grahic Jump Location
Normalized modal control forces at various locations, 1st mode, Δϕ=0.2. (□: (T⁁m)Total, ○: (T⁁m)ψ,mem, ▵: (T⁁m)ϕ,mem, ×: (T⁁m)ϕ,bend, ⋄: (T⁁m)ψ,bend)
Grahic Jump Location
Normalized modal control forces at various locations, 2nd mode, Δϕ=0.2.
Grahic Jump Location
Normalized modal control forces at various locations, 3rd mode, Δϕ=0.2.

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