Dynamics and Control of an SMA-Pendulum System

Dimitri Danulussi Alves Costa¹; Marcelo Amorim Savi¹

¹ Universidade Federal do Rio de Janeiro

doi:10.20906/CPS/CON-2016-0247

Resumo

Pendulum systems are extensively analyzed due to a variety of reasons, being a source of motivation for several discoveries in nonlinear dynamics and other fields of engineering. Their simplicity and rich dynamics including bifurcations, chaos and transient chaos makes it a great choice for testing new ideas and control techniques. Smart materials represent a class of advanced materials with remarkable properties conferred by the coupling between different physical fields. Usually, they are employed for control purposes due to their adaptive capacity. Shape memory alloys (SMAs) belong to the smart materials class, being widely applied in vibration control, origami structures, robotics and energy harvesting, showing a broad use and potential for numerous applications. This work deals with the nonlinear dynamics of an SMA-Pendulum system composed of a nonlinear pendulum coupled with SMA springs. This system has a temperature dependent response ranging from periodic to chaotic. Temperature variations can be exploited for control purposes. This paper discusses aspects of nonlinear dynamics of an SMA-Pendulum system, showing a rich, complex response. Nonlinear control techniques are applied in order to change between different system responses.

Palavras-chave: Non-linear dynamics; Chaos control; Pendulum System; Shape memory alloys