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.
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