Affiliations: State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an, Shaanxi, China
Correspondence:
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Corresponding author: Yahong Zhang, State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xianning Road, Xi'an 710049, Shaanxi, China. E-mail:zyhxjtu@mail.xjtu.edu.cn
Abstract: Nonlinear vibration of a beam is active controlled with a
fuzzy logic controller designed. The Von Karman's large deflection equation
for a generally elastic beam partially covered by a macro fiber composite
actuator (MFC) is established. Galerkin method is employed to convert the
nonlinear partial differential equation derived into the nonlinear ordinary
differential equation of motion, which is of Duffing's type. The method of
multiple scales is adopted to figure out the relationship between the
vibration amplitude and the nonlinear frequency. The nonlinear
characteristics of the system are discussed when proportional and derivative
feedback scheme is used. To depress the nonlinear vibration, a fuzzy logic
controller is designed and the vibration of the beam is suppressed
effectively.
Keywords: Nonlinear vibration, fuzzy logic control, MFC actuator, active vibration control
