A Fractional-Order Normalized Bouc–Wen Model for Piezoelectric Hysteresis Nonlinearity

Kang, Shengzheng; Wu, Hongtao; Yao, Li; Yang, Xiaolong; Yao, Jiafeng

doi:10.1109/tmech.2021.3058851

Cited by 49 publications

(23 citation statements)

References 29 publications

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“…Therefore, a more sophisticated model needs to be applied to replace the linear spring (5) in the concentrated parameter SDOF vibration model. The Bouc-Wen model (BW) is a widely used method to describe the amplitude-dependent hysteresis of magnetorheological [46,47], piezoelectric [48,49] and elastomeric [50] materials, so it is considered a suitable choice for this work. The equivalent mass parameter M l in Eq.…”

Section: Modified Normalized Bouc-wen Model For the Concentrated Para...mentioning

confidence: 99%

“…The Bouc-Wen (BW) model is a widely used and powerful phenomenological model to describe the different types of hysteresis, such as in the case of magnetorheological [46,47] and piezoelectric [48,49] and elastomeric [50,51] materials. The BW model can describe well the different types of generalized forcedisplacement hysteretic loops.…”

Section: Introductionmentioning

confidence: 99%

“…The BW model can describe well the different types of generalized forcedisplacement hysteretic loops. However, the classical BW model is invariant with the various input frequencies [48,52] [49]; and Shao et al have used a second-order discrete system for the dynamic linear part [53]. All these variations proposed to the original formulation of the BW can cater for frequency-dependent behaviours, but also make the updated models more complicated, by using parameters and components without evident physical meaning.…”

Section: Introductionmentioning

confidence: 99%

“…Linearly frequency-dependent relationships of the other parameters of the BW model are used; as it will be demonstrated, this combined approach can capture the mild frequency-dependent stiffness and damping behaviour of the auxetic foams within low-frequency ranges. Besides, the 6 parameters of the classical BW model can be reduced to 5 by performing a normalization to remove the redundant term [49,52].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Zhang

Scarpa

et al. 2022

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The work describes experiments and models related to auxetic (negative Poisson’s ratio) foams subjected to low-frequency and variable amplitude 3-point bending loading. A custom 3-point bending vibration test rig is designed and used to perform the dynamic test of auxetic PU foam beams within low-frequency range (1–20 Hz) and 5 different displacement amplitudes. The auxetic foams tested in this work are manufactured using a simplified and relatively low-cost uniaxially thermoforming compression technique, which leads to the production of foams with transverse isotropic characteristics. Auxetic foam beam samples with two different cutting orientations and different thermoforming compression ratios rc (20–80%) are tested and compared, also with the use of theoretical Euler–Bernoulli-based and finite element models. The dynamic modulus of the foams increases with rc, ranging between 0.5 and 5 MPa, while the dynamic loss factor is marginally affected by the compression ratio, with overall values between 0.2 and 0.3. The auxetic PU foam has a noticeable amplitude-dependent stiffness and loss factors, while the dynamic modulus increases but slightly decreases with the frequency. The dynamic modulus is also 20–40% larger than the quasi-static one, while the dynamic and static loss factors are quite close. A modified Bouc–Wen model is also further developed to capture the amplitude and frequency-dependent properties of the conventional and auxetic foams with different volumetric compression ratios. The model shows a good agreement with the experimental results.

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Section: Modified Normalized Bouc-wen Model For the Concentrated Para...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Zhang

Scarpa

et al. 2022

Nonlinear Dyn

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“…This kind of model has a rate-dependent force-displacement relationship, which can be used for modeling visco-elastic controlled/isolated structures subjected to server external excitation. Very recently, Kang [22] et al presented a new fractional-order normalized Bouc-Wen model to describe the asymmetric and ratedependent hysteresis nonlinearity of piezoelectric actuators.…”

Section: Introductionmentioning

confidence: 99%

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A Fractional-Order Normalized Bouc–Wen Model for Piezoelectric Hysteresis Nonlinearity

Cited by 49 publications

References 29 publications

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Approximate stochastic response of hysteretic system with fractional element and subjected to combined stochastic and periodic excitation

A new hysteresis model based on Weibull cumulative distribution function and Jiles–Atherton hysteresis model

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