Affiliations: [a] State Key Laboratory for Strength and Vibration of
Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an,
Shaanxi, China | Université Laval, Canada | Tohoku University, Japan
Correspondence:
[*]
Corresponding author: Xinong Zhang, State Key Laboratory for
Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an
Jiaotong University, Xi'an, Shaanxi 710049, China. Tel.: +86 29 8266 8482;
E-mail: xnzhang@mail.xjtu.edu.cn
Abstract: This paper deals with the vibration control of a cantilever
honeycomb sandwich plate by using Macro-Fiber Composite (MFC) piezoelectric
actuator. Firstly, the honeycomb plate is equivalent to an orthogonal
anisotropic plate. Secondly driving force and bending moment formulas of MFC
actuator are derived based on the constitutive relations of the piezoelectric
material, the equivalent parameters and bend deformation theory. The result
reveals that driving force and bending moment not only depend on the driving
voltage and piezoelectric strain constants (d33), but also have relationship
with the elastic modulus of honeycomb plate. To simulate the vibration of
cantilever honeycomb plate structure, the governing equation of the plate
bonded with MFC actuators is derived. Finally, the vibration by proportional
derivative (PD) control of system with MFC actuator is simulated. The results
show that better control performance is obtained by using MFC actuator when
system under impulse excitation and steady state sine excitation. The vibration
amplitude is diminished over 75% under PD control.
Keywords: MFC piezoelectric actuator, honeycomb plate, active vibration control
