Nonlinear Free Vibration of Hybrid Composite Moving Beams Embedded with Shape Memory Alloy Fibers

Abstract

The aim of this paper is to investigate the free vibration of hybrid composite moving beams embedded with shape memory alloy (SMA)¯bers. The nonlinear equations of motion are derived based on the Euler-Bernoulli beam theory in conjunction with the von Karman type of nonlinearity in strain-displacement relations via the extended Hamilton principle. Also, the recovery stress induced by the SMA¯bers is computed by applying the one-dimensional Brinson model and Reuss scheme. Then, an analytical approach in used to solve the nonlinear equation of motion for the simply supported shape memory alloy hybrid composite (SMAHC) moving beams. Based on the analytical solution, several parametric studies are presented to show the e®ects of various parameters such as volume fraction, pre-strain in the SMA¯bers, temperature rise and velocity on the fundamental frequency of the SMAHC moving beams. Due to the lack of similar results in the specialized literature on the subject of interest, this paper is likely to¯ll a gap in the state of the art of the related research.

Theoretical analysis on the adaptive vibration attenuation of a fixed-fixed beam realized by a piezo-shape memory alloy ferrule

“…Savi (2017, 2018) presented complex nonlinear dynamic responses of an SMA-pendulum system and investigated a control strategy based on temperature variations. In addition, studies on the vibration control of SMA hybrid composite structures under variable temperature also have been done in the last few years (Asadi et al, 2014;Ebrahimi et al, 2016;Sartori et al, 2014), which extended the application of SMA materials into engineering (Liu et al, 2017). Although previous studies have investigated many vibration control strategies for SMA structures via temperature variations, temperature-adjustment approaches for control purposes are still under investigation.…”