A generalized class of uniaxial rate-independent models for simulating asymmetric mechanical hysteresis phenomena

Vaiana, Nicolò; Sessa, Salvatore; Rosati, Luciano

doi:10.1016/j.ymssp.2020.106984

Cited by 101 publications

(57 citation statements)

References 37 publications

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“…To overcome such limitations, a class of uniaxial phenomenological models has been formulated in [20,21]; subsequently, it has been specialized to derive two models which are respectively suitable for elastomeric and sliding bearings [22,23]. In particular, the one developed for elastomeric bearings, that is of particular interest in this work, exploits just five parameters, directly derivable from the experimental hysteresis loop, and requires a straightforward computer implementation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Seismically Base-Isolated Structures by a Novel OpenSees Hysteretic Material Model

et al. 2021

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The complex response characterizing elastomeric isolation bearings is reproduced by employing a novel uniaxial hysteretic model that has been recently formulated and successfully implemented in OpenSees. Such a novel OpenSees material model offers several advantages with respect to differential models typically available in commercial software products for structural analysis, such as 3D-BASIS and CSi programs. Firstly, it is based on a set of only five model parameters that have a clear mechanical significance; such a property not only allows one to drastically simplify the parameters identification process, but it also allows the model to be used in practice. In addition, the model does not require numerical methods for the evaluation of the restoring force since the latter is computed by solving an algebraic equation. To encourage researchers and designers to adopt the proposed model for research and practical purposes, we demonstrate its accuracy by performing some numerical tests in OpenSees. In particular, we first employ the recently implemented model to compute the nonlinear dynamic response of a seismically base-isolated structure with elastomeric bearings and, subsequently, we compare the results with those obtained by modeling the seismic isolators with the OpenSees BoucWen uniaxial material model, that is one of the most popular and accurate hysteretic models currently available in OpenSees.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Seismically Base-Isolated Structures by a Novel OpenSees Hysteretic Material Model

et al. 2021

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“…Although these frameworks can be adopted as observers with reasonable accuracy, the inverse calculation for feed-forward control can result intricate [63]. Despite its complexity, recent cutting edge uni-axial phenomenological models have been developed which are rate and material independent and they only require a history variable [64,65]. The physics-based ones are known as the Domain Wall and the Jiles-Atherton model; these are acknowledged for their description of hysteresis present in magnetic materials and might be unsuitable since they are material-dependent models [58].…”

Section: Introductionmentioning

confidence: 99%

High-Performance Tracking for Piezoelectric Actuators Using Super-Twisting Algorithm Based on Artificial Neural Networks

et al. 2021

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Piezoelectric actuators (PEA) are frequently employed in applications where nano-Micr-odisplacement is required because of their high-precision performance. However, the positioning is affected substantially by the hysteresis which resembles in an nonlinear effect. In addition, hysteresis mathematical models own deficiencies that can influence on the reference following performance. The objective of this study was to enhance the tracking accuracy of a commercial PEA stack actuator with the implementation of a novel approach which consists in the use of a Super-Twisting Algorithm (STA) combined with artificial neural networks (ANN). A Lyapunov stability proof is bestowed to explain the theoretical solution. Experimental results of the proposed method were compared with a proportional-integral-derivative (PID) controller. The outcomes in a real PEA reported that the novel structure is stable as it was proved theoretically, and the experiments provided a significant error reduction in contrast with the PID.

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“…Such a family, formulated by Vaiana et al, is found to be advantageous when compared to other models due to its reduced computational effort. Indeed, this class of models leads to a solution of scalar equations for evaluating the bearing restoring force [28][29][30][31]. A comparative study of these different type of phenomenological models with specific application to the special type of innovative passive control device such as RR-FRB is not available in the literature.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of phenomenological hysteretic models with application to recycled rubber-fibre reinforced bearings

Ravichandran¹

2020

J. vibroeng.

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The present study investigates the capability of different hysteresis models in representing the nonlinear behaviour of Recycled Rubber-Fibre Reinforced Bearings (RR-FRBs). A recently developed class of uniaxial phenomenological models is considered along with the Bouc-Wen Model (BWM). In particular, Bilinear Model (BM) and Exponential Model (EM), belonging to the class of above-mentioned phenomenological models, are used. The restoring force-displacement loops of RR-FRBs obtained from the different models are compared with the experimental studies retrieved from the literature. These first results show that the EM not only can accurately predict the behaviour of RR-FRBs, but it also requires a significantly lower computational time. Furthermore, to investigate the capability of the models in predicting the complete response of base-isolated structures, nonlinear time history analyses are carried out on a base-isolated rigid block with RR-FRBs. The response time histories of the rigid block and the restoring force-displacement loops obtained by using the EM are found to be in close agreement with the results obtained by adopting the BWM. In addition, the EM computational time is only 0.25 % of BWM. This clearly demonstrates the efficiency of EM in the seismic response analyses of base-isolated structures with RR-FRBs.

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A generalized class of uniaxial rate-independent models for simulating asymmetric mechanical hysteresis phenomena

Cited by 101 publications

References 37 publications

Nonlinear Dynamic Analysis of Seismically Base-Isolated Structures by a Novel OpenSees Hysteretic Material Model

Nonlinear Dynamic Analysis of Seismically Base-Isolated Structures by a Novel OpenSees Hysteretic Material Model

High-Performance Tracking for Piezoelectric Actuators Using Super-Twisting Algorithm Based on Artificial Neural Networks

A comparative study of phenomenological hysteretic models with application to recycled rubber-fibre reinforced bearings

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