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Research Papers: Design and Analysis

Spatial Electrostrictive Actuations of Flexible Circular Tubes

[+] Author and Article Information
Shih-Lin Huang, Chien C. Chang

 Division of Mechanics, Research Center for Applied Sciences, Academia Sinica,Taipei 115, Taiwan, R.O.C.; Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, R.O.C.

Chin-Chou Chu

 Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, R.O.C

H.-S. Tzou1

 Department of Mechanical Engineering, StrucTronics and Design Lab, University of Kentucky, Lexington, KY 40506-0503

1

Currrent address: School of Aeronautics and Astronautics, Institute of Applied Mechanics, StrucTronics and Control Lab, Zhejiang University, Hangzhou, Zhejiang 310027 P.R. China.

J. Pressure Vessel Technol 134(2), 021208 (Jan 19, 2012) (12 pages) doi:10.1115/1.4005381 History: Received April 10, 2009; Revised April 13, 2011; Published January 19, 2012; Online January 19, 2012

This paper is aimed to study dynamic actuation of circular tubular shell structures coupled with distributed electrostrictive actuator segments. A mathematical model of the hybrid elastic/electrostrictive circular tubular shell, including the electrostrictive/elastic/control couplings, is derived. The generalized electrostrictive control actuation induced by an arbitrary electrostrictive actuator segment consists of three contributing components: the circumferential membrane control action, the longitudinal bending control action, and the circumferential bending control action. In particular, spatial modal actuation characteristics of the total actuation and the three contributing components corresponding to various design parameters (e.g., actuator thickness, shell radius, and thickness) are evaluated and compared with respect to actuator patch sizes. Analysis data suggest that the electrostrictive membrane control actuation dominates the overall control action in lower shell modes; however, the control moment becomes important in higher shell modes. Optimal placements of electrostrictive actuator segments on the circular tubular shell are identified. Modal filtering behaviors, due to cancellation of internal attenuation/amplification effects, occur when large-size actuators are used, rendering the actuation less effective.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

A circular tubular shell with arbitrary electrostrictive actuator segments

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Figure 2

Microscopic actuations of an arbitrary actuator patch defined by its four-corner coordinates (ha << h)

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Figure 3

The (1, 1) modal actuation effects of the tubular shell. (Applied voltage = 1 V.) [Top-left: circumferential membrane actuation; top-right: longitudinal bending actuation; bottom-left: circumferential bending actuation; bottom-right: total modal actuation.]

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Figure 4

The (1,2) modal actuation effects

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Figure 5

The (2,1) modal actuation effects

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Figure 6

The (2,2) modal actuation effects

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Figure 7

Maximal actuations of the component and total modal actuation effects for the (m = 1–5, n = 1–5) modes. (Applied voltage = 1 V.)

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Figure 8

Electrostrictive actuations versus actuator thickness of the (m = 1–3, n = 1–5) modes

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Figure 9

Electrostrictive actuation effects versus shell radius of the (m = 1–3, n = 1–5) modes

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Figure 10

Electrostrictive actuations versus shell thickness of the (m = 1–3, n = 1–5) modes

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Figure 11

Maximal component and total modal actuation amplitudes at various modes with actuator patch size (10 mm, R × π/6). (Applied voltage = 1 V.)

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Figure 12

Maximal component and total modal actuation amplitudes at various modes with actuator patch size (20 mm, R × π/3). (Applied voltage = 1 V.)

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