Dynamic characteristics and active vibration control effect for shape memory polymer composites

Shape memory polymer composites (SMPCs) are widely used as a new type of composite material in space expansion structures, which are prone to vibration and resonance in a space environment. A new type of macro fiber composite (MFC) can be used to control the vibration of the structure. Based on Kirchhoff plate theory, the differential equations of motion for composite laminates are derived. Theoretical analysis of SMPC cantilever plates with varying carbon fiber content is carried out. In addition, the effects of local temperature changes on the dynamic characteristics of SMPC with different fiber content are studied. The vibration differential equations of the SMPC cantilever plate were obtained by using the separation variable method and the modal vibration superposition principle. The state-space equations of the system were established based on the transfer function, and the frequency response was determined by sine sweep excitation of the SMPC specimen. The open-loop and closed-loop vibration active control of SMPC specimens was investigated using the classical proportional integral derivative (PID) procedure. Finally, the effect of carbon fiber content on the vibration active control characteristics of SMPC structures was analysed.