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Research Papers

Multimodal Vibration Control of Photo-Electric Laminated Thin Cylindrical Shells Via Self-Organizing Fuzzy Sliding Mode Control

[+] Author and Article Information
Rongbo He

State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of Aeronautics
and Astronautic,
Nanjing 210016, China;
School of Electrical and Information Engineering,
Anhui University of Technology,
Maanshan 243002, China
e-mail: hrb100200@163.com

Shijie Zheng

State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of Aeronautics
and Astronautic,
Nanjing 210016, China;
School of Aerospace, Mechanical and
Mechatronic Engineering,
The University of Sydney,
New South Wales 2006, Australia
e-mail: sjzheng@nuaa.edu.cn

Liyong Tong

School of Aerospace, Mechanical and
Mechatronic Engineering,
The University of Sydney,
New South Wales 2006, Australia
e-mail: liyong.tong@sydney.edu.au

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 20, 2015; final manuscript received March 1, 2016; published online May 18, 2016. Assoc. Editor: Walter Lacarbonara.

J. Vib. Acoust 138(4), 041003 (May 18, 2016) (9 pages) Paper No: VIB-15-1024; doi: 10.1115/1.4033195 History: Received January 20, 2015; Revised March 01, 2016

In this paper, a novel multipiece actuator configuration is first proposed. This configuration exhibits several advantages over the existing ones, such as: (1) the ability to overcome the deficiency of one-way actuation of PbLaZrTi (PLZT) actuators and (2) all of the actuators in this configuration being placed on the inner surfaces of a thin cylindrical shell and the removal of extra electrical wires between the end surfaces of the actuators. A new index of modal control factors is defined, and an optimization method for allocating actuator is proposed. By using the proposed method, the PLZT actuators can be located in an optimum position. Moreover, in view of the nonlinear and time-variant characteristics of photostrictive actuators, a self-organizing fuzzy sliding mode control (SOFSMC) method is established to attenuate multimodal vibration of photo-electric laminated thin cylindrical shells. A multilevel sliding mode surface is defined as fuzzy input and the SOFSMC method is used to infer the applied light intensity. Its control rule bank can be developed and adjusted continuously via online learning. In addition, using fuzzy sliding mode, the chatter inherent in conventional sliding mode control is therefore managed effectively while ensuring sliding mode behavior. Case studies demonstrate that the proposed approach can efficiently suppress multimodal vibration of photo-electric laminated thin cylindrical shells. It is also founded that SOFSMC can achieve better control effect than fuzzy neural network control (FNNC).

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Figures

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Fig. 1

Illumination way of the proposed actuator configuration

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Fig. 2

Cylindrical shell laminated with a actuator and its location on the cylindrical shell (top view)

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Fig. 3

Control action to the actuator location for the first six modes

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Fig. 4

(a) Control action to the actuator location for the modes (1,3), (1,4), (1,5) and (b) location of actuators patches (top view)

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Fig. 5

The control block of SOFSMC

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Fig. 6

The adopted membership functions of SOFSMC: (a) the sliding mode s and (b) the controller output I

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Fig. 7

Time histories with one learning cycles under the initial parameters of fuzzy rules, Ii= 0, i = 1, 2, … ,7

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Fig. 8

Time histories of controlled modes' transient responses with one, two, and three learning cycles

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Fig. 9

Time histories based on SOFSMC and FNNC

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