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Research Papers

New Methodology for Optimal Placement of Piezoelectric Sensor/Actuator Pairs for Active Vibration Control of Flexible Structures

[+] Author and Article Information
Ali H. Daraji

Mem. ASME
Engineering Department,
Lancaster University,
Lancaster LA1 4YW, UK
e-mail: a.daraji@lancaster.ac.uk

Jack M. Hale

School of Mechanical and Systems Engineering,
Newcastle University,
Newcastle upon Tyne, NE1 7RU, UK
e-mail: jack.hale@ncl.ac.uk

Jianqiao Ye

Engineering Department,
Lancaster University,
Lancaster LA1 4YW, UK
e-mail: j.ye2@lancaster.ac.uk

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, 2017; final manuscript received July 9, 2017; published online September 29, 2017. Assoc. Editor: Huageng Luo.

J. Vib. Acoust 140(1), 011015 (Sep 29, 2017) (13 pages) Paper No: VIB-17-1026; doi: 10.1115/1.4037510 History: Received January 20, 2017; Revised July 09, 2017

This paper describes a computationally efficient method to determine optimal locations of sensor/actuator (s/a) pairs for active vibration reduction of a flexible structure. Previous studies have tackled this problem using heuristic optimization techniques achieved with numerous combinations of s/a locations and converging on a suboptimal or optimal solution after multithousands of generations. This is computationally expensive and directly proportional to the number of sensors, actuators, possible locations on structures, and the number of modes required to be suppressed (control variables). The current work takes a simplified approach of modeling a structure with sensors at all locations, subjecting it to external excitation force or structure base excitation in various modes of interest and noting the locations of n sensors giving the largest average percentage sensor effectiveness. The percentage sensor effectiveness is measured by dividing all sensor output voltage over the maximum for each mode using time and frequency domain analysis. The methodology was implemented for dynamically symmetric and asymmetric structures under external force and structure base excitations to find the optimal distribution based on time and frequency responses analysis. It was found that the optimized sensor locations agreed well with the published results for a cantilever plate, while with very much reduced computational effort and higher effectiveness. Furthermore, it was found that collocated s/a pairs placed in these locations offered very effective active vibration reduction for the structure considered.

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References

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Figures

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Fig. 1

(a) Total number of candidate solutions for a plate discretized to 100 positions to optimize locations of piezoelectric sensors from 1 to 100 and (b) y-axis in log scale

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Fig. 2

Cantilever smart plates bonded with 100 piezoceramic sensors sequentially numbered from left to right and down to up

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Fig. 3

Distribution of sensors output voltage based on time domain analysis at steady-state and frequency domain analysis for the first, second, and fifth resonance modes of type-I plate

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Fig. 4

Sensors output voltage time response at transient zone for the first mode, plate type-I

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Fig. 5

Distribution of average percentage sensor effectiveness and selection of the optimal locations of six s/a pairs on the surface of type-I plate

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Fig. 6

Optimal distribution of ten s/a pairs on type-I plate using present method

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Fig. 7

Optimal distribution of ten s/a pairs on type-I plate [16]

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Fig. 8

Optimal distribution of six sensors on cantilever plates: (a) present work and (b) Ref. [9]

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Fig. 9

(a)–(c) Optimal distribution of sensors voltage for the first, second, and third modes and (d) average sensor effectiveness for the first six modes and the location of the optimal six s/a pairs for type-II plate

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Fig. 10

(a)–(c) Optimal distribution of sensors voltage for the first, second, and third modes and (d) average sensor effectiveness for the first six modes and the location of the optimal six s/a pairs for type-III plate under external force excitation

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Fig. 11

(a)–(c) Optimal distribution of sensors voltage for the first, second, and third modes and (d) average sensor effectiveness for the first six modes and the location of the optimal six s/a pairs for type-III plate under base excitation

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Fig. 12

Distribution of average sensor effectiveness for the first six modes of type-III plate under base excitation, (a) β1 = 3.75, (b) β3 = 3.75, (c) β4 = 3.75, βi = 0.25 for all other five modes for the three cases, and (d) sensors located at maximum percentage effectiveness for each mode βi = 1 for all the six modes

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Fig. 13

Optimal s/a location and locations of external voltage disturbance actuation at first six modes of the stiffened plate

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Fig. 14

Transient and steady-state time responses of the s/a at the optimal location 01 as a result of applied external voltage on actuator at location 41 and at the first mode

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Fig. 15

Transient and steady-state voltage time responses of the s/a at the optimal location 1 as a result of applied external voltage on actuator at location 15 at the third mode

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Fig. 16

Transient and steady-state time responses of the s/a at the optimal location 11 as a result of applied external voltage on actuator at location 29 at the sixth mode

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