State observation–based control algorithm for dynamic vibration absorbing systems featuring magnetorheological elastomers: Principle and analysis

Abstract

Based on state observation, a rapid, stable, and effective control algorithm for magnetorheological elastomer (MRE)–based dynamic vibration absorbers (DVAs) applied to automobile powertrain mount systems is proposed and investigated in this article. The state-space model for powertrain mount systems with MRE-based DVAs is established using the rank criterion method for observable systems. According to the principle of system reconfiguration, a full state observation model using an adaptive Kalman filter with Sage–Husa noise estimator is developed. With the state vectors estimated by the Kalman filter, the phase difference between the displacement of the dynamic mass of the MRE-based DVA relative to the powertrain and the absolute displacement of the powertrain is updated continuously based on Simpson’s rule. By adjusting the applied current to the MRE-based DVA with fuzzy logic control corresponding to the cosine value of the phase difference, the natural frequency of the MRE-based DVA could track the excitation frequency of the powertrain well, which results in vibration attenuation of the powertrain mount system. With consideration of excitation noise, time delays, and parametric uncertainties, the simulation experiments of vibration attenuation performance of the MRE-based DVA for the powertrain mount systems when under time-varying excitation are carried out to verify the effectiveness and the stability of the proposed algorithm with fuzzy steps. The simulation results show that when using the proposed algorithm with fuzzy steps, the MRE-based DVA could attenuate the powertrain vibration rapidly and effectively, and the vibration attenuation performance will not be influenced by noise, time delays, and parametric uncertainties.

A new magnetorheological elastomer torsional vibration absorber: structural design and performance test

“…Hoang (2011) and Hoang et al (2009) designed a semi-active MRE torsional vibration absorber for the vehicle power train, and the frequency shift characteristics us-ing the hammer test were evaluated. Xin et al (2017) and Qian et al (2017) designed a vertical direction MRE vibration absorber for the vehicle mounting system, yet he studied its vibration-absorption performance; moreover, its control strategy was perfected. Rao et al (2014) designed a shearmode MRE dynamic vibration absorber to reduce the longitudinal vibration of the power-train system.…”

A novel bi-directional shear mode magneto-rheological elastomer vibration isolator

“…The MREs are, thus, considered to offer meritorious potentials for many engineering applications, particularly for vibration and noise reduction; thanks to their wide variations in stiffness and energy absorption properties, apart from the low response time, stability, compatibility with mechanical components and reasonably low power requirement (Li et al, 2014; Vatandoost et al, 2019). A number of studies have also demonstrated macroscopic applications of MREs such as vibration isolator for highway bridges (Yarra et al, 2018), vehicle seat suspensions (Du et al, 2011), powertrain mounts (Xin et al, 2016b), adaptive tuned vibration absorbers (ATVAs) (Qian et al, 2017; Sun et al, 2017), structural seismic mitigation as well microscopic applications such as force sensors (Li et al, 2009), soft actuator (Kashima et al, 2012), sealing eye retina detachments (Alekhina et al, 2018), MRE-based stiffness display (Hooshiar et al, 2020), and artificial lymphatic vessels (Behrooz, 2015). Besides, many semi-active MRE-based vibration suppression devices have been designed for applications in structural seismic mitigation (Gu et al, 2016, 2017, 2019; Yu et al, 2016).…”

“…The ''bi-directional mode'' concept, in detail, assuming that one single mode vibration isolation system can only provide one mode isolation with one magnetic field actuation unit while the ''bi-directional mode'' technique offers integrating two vibration isolation systems that are independent with each other as well as realizing the two single mode vibration isolations that originally need combinations of two magnetic field systems with only one magnetic field actuation system. This concept, ''functional integration,'' has also been employed in semi-active integrated MR fluid-based seat suspension system (Bai et al, 2017). There are at least three particular advantages of the new proposed integrated vibration isolation system based on the ''bidirectional shear mode'' concept listed as follows: (1) only one mathematical model along with one coil current command for delivering magnetic field is enough to magnetically actuate two MREs that operates in shear mode at the same time.…”

Characterization and modeling of hard magnetic particle–based magnetorheological elastomers

“…The viscoelastic properties of MREs, namely, the storage and loss moduli, can be controlled in a rapid, continuous, and reversible manner by applying an external magnetic field (Ginder et al, 1999; Woods et al, 2007). MREs are used in various applications such as adaptive tuned vibration absorber (Qian et al, 2017), smart material–based isolators (Li et al, 2013), vehicle seat suspension (Du et al, 2011), microcantilevers (Lee et al, 2014), microvibrations (Ying et al, 2013), sensors (Wang et al, 2009), touch-screen displays (Chen et al, 2019), magnetometers (Du and Chen 2012), prosthetic devices (Jonsdottir et al, 2015), noise barrier systems (Farshad and Le Roux 2004), sandwich beams (Zhou and Wang, 2005), negative changing stiffness isolators (Sun et al, 2015), bumper of a vehicle (Bogdanov et al, 2009), and particularly in shifting the fundamental frequency of controlled devices.…”