Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Synchronization Analysis of Two Clusters of Oscillators Connected by Shape Memory Alloy Restoring Elements
Submission Author:
Alberto Paiva , RJ , Brazil
Co-Authors:
Paula Cardoso, Alberto Paiva, Alex Brandão, Marcelo Savi
Presenter: Paula Cardoso
doi://10.26678/ABCM.COBEM2019.COB2019-2122
Abstract
Dynamical systems synchronization study has been prompted in the last decades, due to the growing interest in understanding the regulatory mechanisms that rule this kind of behavior that arises in natural systems, as well as in mechanical systems. This work deals with dynamical modeling and numerical simulation of a mechanical system comprising two platforms connected in series by linear restoring and damping elements. Each platform supports two pendula, such that each pair of pendula is connected by a shape memory alloy restoring element. The system encompasses six degrees of freedom and the differential equations of motion are solved by a fourth-order Runge-Kutta method. The system natural behavior is investigated by means of maps involving different sets of initial conditions for the pendula, varying the platforms damping parameter and the shape memory restoring elements temperature. Numerical results include situations where the system loses/embodies synchronization, characterizing different types of behavior for the system elements - platforms and pendula fully synchronized, partially synchronized (in-phase/anti-phase), desynchronized and rest.
Keywords
nonlinear dynamics, synchronization, Shape Memory Alloy, Numerical simulation
