Approximate analytical solutions for vibration control of smart composite beams

Abstract

Smart structures technology featuring a network of sensors and actuators, real-time control capabilities, computational capabilities and host material will have tremendous impact upon the design, development and manufacture of the next generation of products in diverse industries. The idea of applying smart materials to mechanical and structural systems has been studied by researchers in various disciplines. Among the promising materials with adaptable properties such as piezoelectric polymers and ceramics, shape memory alloys, electrorheological fluids and optical fibers, piezoelectric materials can be used both as sensors and actuators because of their high direct and converse piezoelectric effects. The advantage of incorporating these special types of material into the structure is that the sensing and actuating mechanism becomes part of the structure by sensing and actuating strains directly. This advantage is especially apparent for structures that are deployed in aerospace and civil engineering. Active control systems that rely on piezoelectric materials are effective in controlling the vibrations of structural elements such as beams, plates and shells. The beam as a fundamental structural element is widely used in all construction. The purpose of the present project is to derive a set of approximate governing equations of smart composite beams. The approximate analytical solution for laminated beams with piezoelectric laminae and its control effect will be also presented. According to the review of the related literature, active vibration control analysis of smart beams subjected to an impulsive loading and a periodic excitation are simulated numerically and tested experimentally.