A degrading Bouc–Wen model for the hysteresis of reinforced concrete structural elements

Pelliciari, Matteo; Briseghella, Bruno; Tondolo, Francesco; Veneziano, Luigi; Nuti, Camillo; Greco, Rita; Lavorato, Davide; Tarantino, Angelo Marcello

doi:10.1080/15732479.2019.1674893

Cited by 23 publications

(13 citation statements)

References 60 publications

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“…The damage index d i (t) allows to define the following stiffness and strength degrading functions [16]:…”

Section: Analytical Description Of the Proposed Hysteresis Modelmentioning

confidence: 99%

“…This contribution proposes a new hysteresis data-driven macro-model based on the Bouc-Wen equation [13][14][15]. Deterioration of both stiffness and strength are taken into account through degrading functions for cyclic damage [16]. Pinching is introduced by adding in series a slip-lock element [17] to simulate the effect of masonry cracking.…”

Section: Introductionmentioning

confidence: 99%

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A Degrading Bouc-Wen Data-Driven Model for the Cyclic Behavior of Masonry Infilled Rc Frames

Pelliciari¹,

Sirotti²,

Trapani³

et al. 2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Mechanics-based macro-models are often used to simulate the cyclic response of infilled reinforced concrete (RC) frames. However, these approaches are affected by uncertainties regarding damage and failure mechanisms. Therefore, this contribution proposes a new smooth data-driven model for the hysteresis of infilled RC frames. The infill panel is modeled through a damage-based Bouc-Wen element, which accounts for both pinching and deterioration of the mechanical characteristics. The parameters of the model are calibrated from an experimental data set of cyclic responses of RC infilled frames. Analytical correlations between parameters and geometric and mechanical characteristics of the infilled frame are derived. Blind validation tests are carried out in order to demonstrate the effectiveness of the proposed model. COMPDYN 2021 8 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering M. Papadrakakis, M. Fragiadakis (eds.

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“…The damage index d i (t) allows to define the following stiffness and strength degrading functions [16]:…”

Section: Analytical Description Of the Proposed Hysteresis Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Degrading Bouc-Wen Data-Driven Model for the Cyclic Behavior of Masonry Infilled Rc Frames

Pelliciari¹,

Sirotti²,

Trapani³

et al. 2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…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%

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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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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“…Furthermore, studies based on the Bouc-Wen model [14,15], which yields a smooth hysteresis curve, have been conducted recently [16,17]. Pelliciari et al defined the degradation effect by introducing a damage index related to the maximum displacement and dissipated energy, followed by a new model based on the differential equation of the Bouc-Wen model [18]. Likewise, although various hysteresis models have been proposed for RC frame members, studies that have compared and evaluated the developed models are lacking [19].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Appropriate Hysteresis Model for Nonlinear Dynamic Analysis of Existing Reinforced Concrete Moment Frames

Son

Lee

2021

Materials

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Various seismic analysis methods are being used to predict the response of structures to earthquakes. Although nonlinear dynamic analysis (NDA) is considered an ideal method to represent the most realistic behavior of a structure among these various methods, correct results can be derived only when the analysis model is carefully developed by a knowledgeable person. It is particularly important to properly implement the behavior characteristics depending on the reversed cyclic load in the NDA of a building made of reinforced concrete (RC) moment frames. This study evaluated the hysteresis model suitable for NDA of existing RC moment frames, and 45 analysis models were reviewed, in which the pivot, concrete, and Takeda hysteresis models were applied differently to beams and columns. The pivot model was evaluated as the most reliable hysteresis model for each structural member by comparing and analyzing not only the responses of the entire frame but also the responses of column and beam members focusing on energy dissipation. However, this model can have practical limitations in that the parameters associated with the reinforcement detailing and applied loads need to be defined in detail. The analysis model applying Takeda to the beam, which predicted the average response at a reliable level compared to the reference model, was identified as a practical alternative when it is difficult to apply the pivot model to all frame members.

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A degrading Bouc–Wen model for the hysteresis of reinforced concrete structural elements

Cited by 23 publications

References 60 publications

A Degrading Bouc-Wen Data-Driven Model for the Cyclic Behavior of Masonry Infilled Rc Frames

A Degrading Bouc-Wen Data-Driven Model for the Cyclic Behavior of Masonry Infilled Rc Frames

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

Evaluation of Appropriate Hysteresis Model for Nonlinear Dynamic Analysis of Existing Reinforced Concrete Moment Frames

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