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Active vibration control for three-dimensional braided composite beams based on piezoelectric sensor and actuator

Xuewen Shao, Gaofeng Wei and Anqing Li

Vol. 18 (2023), No. 4, 503–519
Abstract

In this paper, an active vibration control model of the three-dimensional (3-D) braided piezoelectric composite beam (BPCB) is developed by using piezoelectric ceramic layers as sensor and actuator. The mechanical parameters of 3-D braided composites with different braided angles and volume fractions are predicted through finite element simulation of a representative volume unit (RVU). Based on Euler–Bernoulli beam theory, the kinematical equation and state space model of the 3-D BPCB are created. The effect of the sensor and the actuator of the 3-D BPCB is discussed. The linear quadratic regulator (LQR) method is adopted as an active control method to analyze the vibration control of the 3-D BPCB, and the optimal weighted matrix is selected by using a genetic algorithm (GA) to evaluate the cost function. Finally, the effect of different braided angles and volume fractions of the 3-D BPCB on the active vibration control is investigated.

Keywords
3-D braided composites, active vibration control, linear quadratic regulator control method, genetic algorithm, representative volume unit
Milestones
Received: 11 December 2022
Revised: 7 February 2023
Accepted: 7 March 2023
Published: 30 May 2023
Authors
Xuewen Shao
Qilu University of Technology (Shandong Academy of Sciences)
Faculty of Mechanical Engineering
Jinan
China
Gaofeng Wei
Qilu University of Technology (Shandong Academy of Sciences)
Faculty of Mechanical Engineering
Jinan
China
Anqing Li
Qilu University of Technology (Shandong Academy of Sciences)
Faculty of Mechanical Engineering
Jinan
China