Jump Attenuation in a Non-Ideal System Using Shape Memory Element

Abstract

Abstract. The studies on the so-called smart materials have grown in the last years due to the diverse possibilities that these materials can provide. These types of materials have the ability to respond to an external excitation, altering its physical form, and being able to be considered as actuators. Among these materials are the Shape Memory Alloys (SMA), several metal alloys that are able to memorize a shape and recover it after a deformation through an increase of its thermal energy. In this paper, an actuator consisting of an SMA wire is used to attenuate the vibration and Sommerfeld effect of a non-ideal type oscillator. The temperature control of the actuator was carried out through the application of an electric current in the wire. Results are presented for different currents, with the objective of investigating the temperature variation for vibration control applications. The results showed that it is possible to apply SMA actuators to the attenuation of the Sommerfeld Effect as well as in the reduction of the total vibration of the system.

Stability of a nonideally excited Duffing oscillator

“…In this regard, it is worth mentioning some recent works from Varanis et al [45,46] where different setups-a cantilever beam, a portal frame and a 3-DOF shear-building structure-are used for experimental validation. Also relevant is the experimental demonstration given by Kossoski et al [26] of the use of shape memory alloys to mitigate the Sommerfeld effect.…”

“…In order to see this in a clear manner, it is convenient to resort to the amplitude-frequency plot, as usually done when analysing the primary resonance of the classical Duffing oscillator [44]. This can be easily done by representing the last of relations (26) for the parameter values given in Eq. ( 40), as shown in Fig.…”

“…7, since the vibration 40). This curve is given by the last of relations (26) torque is proportional to the squared amplitude-see Eq. ( 30).…”

Instability attenuation and bifurcation studies of a non-ideal rotor involving time-delayed feedback

“…Another important work on the suppression of non-linear jump phenomena using a magnetorheological damper is reported in [7]. In 2018, Balthazar and his co-authors proposed an experimental technique using shape memory element to mitigate the jump phenomena exhibited by a non-ideal cantilever [8]. In the recent past, a novel approach [9] based on fractional order external damping is employed to study the attenuation of the jump phenomena of a non-ideal internally damped shaft-disk system.…”