Creating a multi-input multi-output mathematical model for smart structures using smart intelligent sensors & actuators (PVDF/PZT) to regulate active vibrations.

This study examines an innovative approach to modelling intelligent, flexible mechanical aluminium structures. The approach combines smart materials, Euler-Bernoulli beam theory, state space techniques, and multi-sensor data fusion concepts. The research focuses on an aluminium cantilever beam with rectangular cross-section and familiar specifications for modelling purposes. To begin, the Lagrange equation of motion is derived for both the beam element and the PZT & PVDF sensor actuator pair, using the fundamental principles of E-B theory. Subsequently, a dynamic equation of motion for the smart intelligent structure is obtained using the smart materials consisting of PZT & PVDF. The dynamic equation is then transformed into a state space model with 2 inputs/outputs using the concepts of state space theory in control engineering. The model is developed considering the first two modes of vibration, which are the most dominant modes in vibration theory. The developed state space model is used for active vibration control, which is tested by applying an external force of 1 N at the end of the smart flexible multi-variable, multi-model cantilever beam, and then subjecting the beam to vibrations. The mathematical model of the DSMC controller is used to control the vibrations of the structure using the concept of destructive interference. Overall, this study provides a novel perspective on modelling intelligent, flexible mechanical aluminium structures using smart materials and state space techniques. [ABSTRACT FROM AUTHOR]