Dynamic response of a composite beam rotating at constant speed caused by harmonic excitation with MFC actuator

2019 
Abstract This paper describes the dynamic behaviour of a composite beam rotating at a constant angular velocity excited by an MFC (Macro Fiber Composite) actuator. The beam has a rectangular cross-section and is made of six plies of a unidirectional glass-epoxy laminate. The laminate has ply orientation of [45/−45/90]s. The MFC (Macro Fiber Composite) active element and a resistance strain gauge were fixed on the opposite sides of the beam surface. The role of piezoelectric actuators is to generate an additional effect to excite the system. The problem was solved by the finite element method, and selected cases were verified experimentally. The numerical solution is obtained with an implicit method. A numerical model of the rotating beam excited by the MFC activator was developed. To this end, a commercial Abaqus software package was used. This model consisted of a non-deformable hub and a laminated beam with an actuator whose complex structure was replaced with a substitute model verified in previous static and dynamic studies. Two cases are considered in detail: (a) the MFC actuator is powered with harmonic voltage and (b) the source of excitation is a harmonic transverse force at the free end of the beam. Both variants were examined with a constant rotational speed modelled as a centrifugal force acting on the blades. In all numerical simulations, the system response at a selected point on the blade was measured. As a result, resonance curves were obtained for selected variants of excitation. After that, we conducted our own experimental tests of the beam excited by the MFC activator powered by variable harmonic voltage. The dynamic response of the system, i.e. displacement, was recorded in real time with a laser sensor. The experimental results were plotted as amplitude-frequency characteristics for different amplitude of the activator voltage. The results of experimental tests and numerical simulations show very high agreement.
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