Nonlinear modeling of a rotational MR damper via an enhanced Bouc–Wen model

Miah, Mohammad Shamim; Chatzi, Eleni; Dertimanis, Vasilis K.; Weber, Felix

doi:10.1088/0964-1726/24/10/105020

Cited by 36 publications

(24 citation statements)

References 27 publications

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“…Note that the flexure based compliant mechanism of the mechanical stage also has an impact on hysteresis behaviour. Therefore a polynomial‐type non‐linear term is also introduced to represent the stiffness characteristics of the compliant mechanism, based on [26, 27]. The hysteresis effect of the piezoelectric nano‐manipulating system now can be modelled as

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ F_{H l} = ϕ (x_{l}) + α_{1 l} z_{l}, \end{matrix}

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ {\dot{z}}_{l} = ρ_{l} ({\dot{x}}_{l} - σ_{l} | {\dot{x}}_{l} ∥ z_{l} |^{n - 1} z_{l} + (σ_{l} - 1) {\dot{x}}_{l} | z_{l} |^{n}), \end{matrix}

where the corrective term is given by

ϕ false(x_{l} false) = α_{0 l} x_{l}^{3}

, and the parameters

α_{0 l} > 0

α_{1 l} > 0

σ_{l} \geq 1 / 2

ρ_{l} > 0

, and

n \geq 1

determine the shape and the size of the hysteresis loop.…”

Section: Problem Formulationmentioning

confidence: 99%

Adaptive observer‐based integral sliding mode control of a piezoelectric nano‐manipulator

Zhang

Yan

2019

IET Control Theory & Applications

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\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ F_{H l} = ϕ (x_{l}) + α_{1 l} z_{l}, \end{matrix}

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ {\dot{z}}_{l} = ρ_{l} ({\dot{x}}_{l} - σ_{l} | {\dot{x}}_{l} ∥ z_{l} |^{n - 1} z_{l} + (σ_{l} - 1) {\dot{x}}_{l} | z_{l} |^{n}), \end{matrix}

where the corrective term is given by

ϕ false(x_{l} false) = α_{0 l} x_{l}^{3}

, and the parameters

α_{0 l} > 0

α_{1 l} > 0

σ_{l} \geq 1 / 2

ρ_{l} > 0

, and

n \geq 1

determine the shape and the size of the hysteresis loop.…”

Section: Problem Formulationmentioning

confidence: 99%

Adaptive observer‐based integral sliding mode control of a piezoelectric nano‐manipulator

Zhang

Yan

2019

IET Control Theory & Applications

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“…Spencer et al (1997) developed a phenomenological model based on the Bouc-Wen model to improve the accuracy of the model. Then, Miah et al (2015) proposed a modified phenomenological model verified by experimental results to describe nonlinear characteristics of rotary MR dampers. Additionally, a rotary MR damper was designed for a vehicle seat and a phenomenological model was utilized to investigate the corresponding dynamic performances (Sun et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Modeling of a Bingham model of a magnetorheological damper considering stochastic uncertainties in their geometric variables

Chen¹,

Yu²,

Wang³

et al. 2020

Journal of Theoretical and Applied Mechanics

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Stochastic uncertainty theory is used to develop a new Bingham model of magnetorheological dampers superior to the existing model. Some input variables are defined as stochastic variables by the stochastic factor method, and the stochastic Bingham model is developed by the algebraic synthesis method. Curves of the damping force obtained by the stochastic Bingham model and the Bingham model in the literature are compared with experimental results, revealing that the curves obtained by the stochastic Bingham model are much closer to the experimental curves. Therefore, we confirm that the stochastic Bingham model is superior to the model from the literature.

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“…Indeed, there exist frequency regions where the existence of passive devices can even affect the dynamic response in a negative way, as for example in the case of tuned mass dampers. On the other hand, the active control schemes overcome the former difficulties by offering the ability to adapt to diverse loading situations [6,7,13,14]. Nonetheless, considerable disadvantages to such an active approach pertain to the significantly higher costs and the continuous need for maintenance.…”

Section: Introductionmentioning

confidence: 99%

Vibration Absorption Performance of Metamaterial Lattices Consisting of Impact Dampers

Chondrogiannis¹,

Dertimanis²,

Masri³

et al. 2020

XI International Conference on Structural Dynamics

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In recent years, metamaterials are increasingly used in the field of vibration mitigation due to the unique potential these offer. Periodic placement of appropriately designed resonators, the so-called unit cells, has been shown to arrest the propagation of vibration within a specific frequency range, thus resulting in formation of a bandgap. In rendering metastructures efficient, the breadth of the bandgap should be maximized, while for application in structures, it is also necessary to shift the lower limit of the gap to lower frequencies. One potential solution to this direction is the use of nonlinearity at the unit cell scale. In this direction, the current study investigates finite lattice configurations, which consist of impact damper unit cells. The effectiveness of impact dampers in vibration attenuation has been successfully illustrated in limited degree of freedom systems, and is here extended for use in the metastructure sense, i.e., for multiple degree of freedom systems. For this purpose, a one dimensional lattice of a finite number of unit cells is considered. In order to study and better asses the behaviour of the configuration, variable parameters are taken into account, including the number of unit cells, stiffness and mass ratio, while a comparison to a conventional linear oscillator is further offered. For the evaluation of the system performance, several criteria are utilized, including the oscillation amplitude as well as the energy absorption from the primary system as a result of the individual impacts. The obtained results clearly indicate the ability of impact-based meta-structures to successfully contribute to vibration mitigation under appropriate design.

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Nonlinear modeling of a rotational MR damper via an enhanced Bouc–Wen model

Cited by 36 publications

References 27 publications

Adaptive observer‐based integral sliding mode control of a piezoelectric nano‐manipulator

Adaptive observer‐based integral sliding mode control of a piezoelectric nano‐manipulator

Modeling of a Bingham model of a magnetorheological damper considering stochastic uncertainties in their geometric variables

Vibration Absorption Performance of Metamaterial Lattices Consisting of Impact Dampers

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