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research-article

New methodology for optimal placement of piezoelectric sensor/actuator pairs for active vibration control of flexible structures

[+] Author and Article Information
Ali Hossain Alewai Daraji

Engineering Department, Lancaster University, UK
a.daraji@lancaster.ac.uk

Jack M. Hale

School of Mechanical and Systems Engineering, Newcastle University, UK
jack.hale@ncl.ac.uk

Jianqiao Ye

Engineering Department, Lancaster University, UK
j.ye2@lancaster.ac.uk

1Corresponding author.

ASME doi:10.1115/1.4037510 History: Received January 20, 2017; Revised July 09, 2017

Abstract

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 multi thousands 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 supressed (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 sensors 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.

Copyright (c) 2017 by ASME
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