A new hysteresis model for magneto–rheological dampers based on Magic Formula

2020 ◽  
pp. 095440622095488
Author(s):  
Quoc–Duy Bui ◽  
Quoc Hung Nguyen ◽  
Xian–Xu ‘Frank’ Bai ◽  
Duc–Dai Mai
Keyword(s):  
Excitation Frequency ◽  
Model Parameters ◽  
Magic Formula ◽  
Hysteresis Behavior ◽  
Hysteresis Curves ◽  
Mr Dampers ◽  
Nonlinear Hysteresis ◽  
Proposed Model ◽  
Wide Range ◽  
Magneto Rheological

This paper investigates a novel model based on the Magic Formula and the Pan’s model to effectively predict the inherent nonlinear hysteresis behavior of magneto–rheological (MR) dampers. In the proposed model, the hysteresis element is employed from the Magic Formula and Pan’s model, and two new independent horizontal shift parameters, which are separated from one original parameter of the Pan’s model, are added. Each of them characterizes an offset with respect to the origin for each branch of hysteresis curves, providing more flexibility and effectiveness for simulating curves with high asymmetry. In addition, a parameter to further control the sharpness of hysteresis curves in the backward region of damping force–velocity is proposed, which is useful to simulate the behavior of MR dampers in rather extreme operating cases. A case study is performed on a prototype MR damper for washing machines, in which the model incorporates applied current and excitation frequency as variables to make it more adaptable to a wide range of working conditions. For comparison, performance of three hysteresis models, including the Spencer’s model, the Pan’s model and the proposed model, are analyzed and evaluated. The research results show that, as compared with the others, the proposed model can not only predict the nonlinear hysteresis behavior of MR dampers more precisely, but is also more compatible with different operating excitations, and the clearer meanings of the model parameters make them easier to study and identify.

A novel two-input asymmetric dynamic cross-coupled hysteresis modeling and identification for piezoelectric stack actuators

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1485-1493
Author(s):  
Yangyang Dong ◽  
Kungang Zuo ◽  
Shaojie Han ◽  
Zijian Zhang
Keyword(s):  
High Precision ◽  
Fast Response ◽  
Positioning System ◽  
Engineering Applications ◽  
Hysteresis Curves ◽  
Dynamic Excitation ◽  
Nonlinear Hysteresis ◽  
Proposed Model ◽  
Hysteresis Modeling ◽  
External Loads

Piezoelectric Stack Actuators (PEAs) have been widely used in high-precision positioning system because of its fast response. However, under different excitation voltages and external loads with dynamic frequencies, the width and inclination of PEAs hysteresis curves verified correspondingly, and exhibit asymmetry phenomenon. The main contribution of this paper is to present a two-input asymmetric dynamic cross-coupled hysteresis (TADCH) model to describe the complex nonlinear hysteresis of PEAs in dynamic excitation and loading engineering applications. Moreover, we also develop the corresponding identification method of TADCH model. Finally, several experiments are carried out to verify the accuracy of the proposed model.

VLE Determination of Carbon Dioxide Loaded Aqueous Alkanolamine Mixtures Using Modified Kent Eisenberg Model

2017 ◽  
Vol 231 (11-12) ◽  
Author(s):  
Humbul Suleman ◽  
Abdulhalim Shah Maulud ◽  
Zakaria Man
Keyword(s):  
Experimental Data ◽  
Carbon Dioxide ◽  
Model Parameters ◽  
Thermodynamic Models ◽  
Carbon Dioxide Absorption ◽  
Proposed Model ◽  
Wide Range ◽  
Experimental Values ◽  
Good Agreement

AbstractA computationally simple thermodynamic framework has been presented to correlate the vapour-liquid equilibria of carbon dioxide absorption in five representative types of alkanolamine mixtures. The proposed model is an extension of modified Kent Eisenberg model for the carbon dioxide loaded aqueous alkanolamine mixtures. The model parameters are regressed on a large experimental data pool of carbon dioxide solubility in aqueous alkanolamine mixtures. The model is applicable to a wide range of temperature (298–393 K), pressure (0.1–6000 kPa) and alkanolamine concentration (0.3–5 M). The correlated results are compared to the experimental values and found to be in good agreement with the average deviations ranging between 6% and 20%. The model results are comparable to other thermodynamic models.

Nonlinear Response of an Oscillator with a Magneto-Rheological Damper Subjected to External Forcing

2006 ◽  
Vol 5-6 ◽  
pp. 277-284 ◽  
Author(s):  
M. Borowiec ◽  
Grzegorz Litak ◽  
Michael I. Friswell
Keyword(s):  
Nonlinear Response ◽  
Excitation Frequency ◽  
Surface Profile ◽  
Model Parameters ◽  
Single Degree Of Freedom ◽  
The Road ◽  
Frequency Entrainment ◽  
Road Profile ◽  
Magneto Rheological ◽  
Profile Amplitude

This paper examines the dynamics of a single degree of freedom nonlinear model, representing a quarter of an automobile with a semi-active, nonlinear suspension. Assuming that the kinematic excitation caused by the road surface profile is harmonic, the principal resonance and frequency entrainment are obtained for regions of the model parameters. Changing the excitation frequency and road profile amplitude we analyze possible chaotic vibrations and bifurcations of the system.

Design and development of MR damper for two wheeler application and Kwok model parameters tuning for designed damper

2021 ◽  
pp. 095440702110363
Author(s):  
Pinjala Devikiran ◽  
NP Puneet ◽  
Abhinandan Hegale ◽  
Hemantha Kumar
Keyword(s):  
Degrees Of Freedom ◽  
Mr Damper ◽  
Constant Current ◽  
Model Parameters ◽  
Mr Dampers ◽  
Nonlinear Hysteresis ◽  
Custom Made ◽  
Improved Performance ◽  
Road Testing ◽  
Two Wheeler

Magnetorheological dampers have been the interest of many researchers for a few decades for the reason of being an effective and rapidly progressing technology in the field of semi-active controlled suspension. The dynamic behaviour of these devices with nonlinear hysteresis is quite a complicated phenomenon. Hence, this paper aims at the design, modelling and simulation of a custom-made MR damper for a two-wheeler vehicle. The Kwok model has been chosen to mathematically model the MR damper. The model parameters have been optimised by minimizing the error difference between experimental and model-generated force results. A PID control is designed to control the damper effectively depending on the deflection of the damper. The two-wheeler vehicle modelled with four degrees of freedom is coupled with a mathematical model of MR damper in front and rear suspension. Further, the dynamic analysis has been performed in MATLAB/Simulink considering random road input for different velocities and current input conditions. The improved performance of MR damper was observed in suppressing road irregularities using a PID controller. As an implementation part of the work, the developed damper has been implemented in a two wheeler vehicle for performance evaluation at on-road testing conditions. The results showed significant improvement in damper performance with increment of constant current controlling MR dampers.

scholarly journals Two-Dimensional CFD Modeling of Hysteresis Behavior of MR Dampers

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Pengfei Guo ◽  
Jing Xie
Keyword(s):  
Mr Damper ◽  
Cfd Modeling ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
One Dimensional ◽  
Hysteresis Behavior ◽  
Mr Dampers ◽  
Nonlinear Hysteresis ◽  
Mr Fluids ◽  
Dimensional Modeling

So far, most previous studies on the nonlinear hysteresis analysis of ER/MR dampers have been limited to one-dimensional modeling techniques. A two-dimensional (2D) axisymmetric CFD model of MR dampers is developed in this work. The main advantage of the proposed 2D model of MR dampers lies in that it can be used to predict dynamic behavior of MR devices of arbitrary geometries. The compressibility of MR fluids is the main factor responsible for the hysteresis behavior of MR dampers, and it has been rarely investigated in previous multidimensional modeling of MR damper. In our model, the compressibility of MR fluids is taken into account by the two-dimensional constitutive model which is extended from a previous one-dimensional physical model. The model is solved by using the finite element method, and the movement of the piston is described by the moving mesh technique. The MR damper in a reference is simulated, and the model predictions show good agreement with the experimental data in the reference.

scholarly journals Generalized Behavioral Modelling Methodology of Switch-Diode Cell for Power Loss Prediction in Electromagnetic Transient Simulation

Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1500
Author(s):  
Yanming Xu ◽  
Carl Ngai Man Ho ◽  
Avishek Ghosh ◽  
Dharshana Muthumuni
Keyword(s):  
Power Loss ◽  
Process Analysis ◽  
Operating Conditions ◽  
Transient Simulation ◽  
Oxide Semiconductor ◽  
Model Parameters ◽  
Electromagnetic Transient ◽  
Proposed Model ◽  
Wide Range ◽  
Electromagnetic Transient Simulation

Modern wide-bandgap (WBG) devices, such as silicon carbide (SiC) or gallium nitride (GaN) based devices, have emerged and been increasingly used in power electronics (PE) applications due to their superior switching feature. The power losses of these devices become the key of system efficiency improvement, especially for high-frequency applications. In this paper, a generalized behavioral model of a switch-diode cell (SDC) is proposed for power loss estimation in the electromagnetic transient simulation. The proposed model is developed based on the circuit level switching process analysis, which considers the effects of parasitics, the operating temperature, and the interaction of diode and switch. In addition, the transient waveforms of the SDC are simulated by the proposed model using dependent voltage and current sources with passive components. Besides, the approaches of obtaining model parameters from the datasheets are given and the modelling method is applicable to various semiconductors such Si insulated-gate bipolar transistor (IGBT), Si/SiC metal–oxide–semiconductor field-effect transistor (MOSFET), and GaN devices. Further, a multi-dimensional power loss table in a wide range of operating conditions can be obtained with fast speed and reasonable accuracy. The proposed approach is implemented in PSCAD/ Electromagnetic Transients including DC, EMTDC, (v4.6, Winnipeg, MB, Canada) and further verified by the hardware setups including different daughter boards for different devices.

scholarly journals A nonlinear dynamic model of magnetorheological elastomers in magnetic fields based on fractional viscoelasticity

2020 ◽  
pp. 1045389X2095361
Author(s):  
Guanghong Zhu ◽  
Yeping Xiong ◽  
Zigang Li ◽  
Ling Xiao ◽  
Ming Li ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Experimental Results ◽  
Model Parameters ◽  
Nonlinear Dynamic Model ◽  
Dynamic Moduli ◽  
Magnetorheological Elastomers ◽  
Proposed Model ◽  
Wide Range

As smart materials, magnetorheological elastomers (MREs) have been broadly applied in the field of intelligent structures and devices. In order to mathematically represent the dynamic behavior in a wide range of strain amplitude, excitation frequency and magnetic field; a nonlinear model with a fractional element was developed for MREs in a linear viscoelastic regime. The identification of model parameters was realized through fitting experimental data of dynamic moduli measured in shear mode, and the identified parameters exhibited good repeatability and consistency to reflect the rationality of this nonlinear dynamic model. Considering material elasticity and viscosity, the dependence of model parameters on strain amplitudes and magnetic fields was analyzed to interpret the dynamics of MREs. The fitted results displayed an excellent agreement with the experimental results on the dependence of dynamic moduli on strain amplitudes and magnetic fields. Using the predictor-corrector approach, predicted results on the stress-strain hysteresis loop were calculated based on identified parameters to further validate the proposed model by comparing with experimental results and predicted results of the revised Bouc-Wen model. This proposed model is expected to facilitate the dynamic analysis and simulation of MRE based vibration systems with a high precision accuracy.

scholarly journals Bifurcation analysis of a SEIR epidemic system with governmental action and individual reaction

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Abdelhamid Ajbar ◽  
Rubayyi T. Alqahtani
Keyword(s):  
Transmission Rate ◽  
Dynamical Behavior ◽  
Step Function ◽  
Model Parameters ◽  
Periodic Behavior ◽  
Proposed Model ◽  
Wide Range ◽  
Individual Reaction ◽  
The Impact ◽  
Governmental Action

Abstract In this paper, the dynamical behavior of a SEIR epidemic system that takes into account governmental action and individual reaction is investigated. The transmission rate takes into account the impact of governmental action modeled as a step function while the decreasing contacts among individuals responding to the severity of the pandemic is modeled as a decreasing exponential function. We show that the proposed model is capable of predicting Hopf bifurcation points for a wide range of physically realistic parameters for the COVID-19 disease. In this regard, the model predicts periodic behavior that emanates from one Hopf point. The model also predicts stable oscillations connecting two Hopf points. The effect of the different model parameters on the existence of such periodic behavior is numerically investigated. Useful diagrams are constructed that delineate the range of periodic behavior predicted by the model.

scholarly journals Quantum Dynamics in Continuum for Proton Transport I: Basic Formulation

2013 ◽  
Vol 13 (1) ◽  
pp. 285-324 ◽  
Author(s):  
Duan Chen ◽  
Guo-Wei Wei
Keyword(s):  
Proton Transport ◽  
Quantum Dynamics ◽  
Density Functional ◽  
Molecular Surface ◽  
Electrostatic Energy ◽  
Model Parameters ◽  
Proposed Model ◽  
Wide Range ◽  
Mathematical Algorithms ◽  
The Impact

AbstractProton transport is one of the most important and interesting phenomena in living cells. The present work proposes a multiscale/multiphysics model for the understanding of the molecular mechanism of proton transport in transmembrane proteins. We describe proton dynamics quantum mechanically via a density functional approach while implicitly model other solvent ions as a dielectric continuum to reduce the number of degrees of freedom. The densities of all other ions in the solvent are assumed to obey the Boltzmann distribution. The impact of protein molecular structure and its charge polarization on the proton transport is considered explicitly at the atomic level. We formulate a total free energy functional to put proton kinetic and potential energies as well as electrostatic energy of all ions on an equal footing. The variational principle is employed to derive nonlinear governing equations for the proton transport system. Generalized Poisson-Boltzmann equation and Kohn-Sham equation are obtained from the variational framework. Theoretical formulations for the proton density and proton conductance are constructed based on fundamental principles. The molecular surface of the channel protein is utilized to split the discrete protein domain and the continuum solvent domain, and facilitate the multiscale discrete/continuum/quantum descriptions. A number of mathematical algorithms, including the Dirichlet to Neumann mapping, matched interface and boundary method, Gummel iteration, and Krylov space techniques are utilized to implement the proposed model in a computationally efficient manner. The Gramicidin A (GA) channel is used to demonstrate the performance of the proposed proton transport model and validate the efficiency of proposed mathematical algorithms. The electrostatic characteristics of the GA channel is analyzed with a wide range of model parameters. The proton conductances are studied over a number of applied voltages and reference concentrations. A comparison with experimental data verifies the present model predictions and validates the proposed model.

scholarly journals A New Model for Characterizing Nonlinear Hysteresis of Magnetorheological Fluid Damper

2019 ◽  
Vol 24 (4) ◽  
pp. 784-791 ◽  
Author(s):  
Xianju Yuan ◽  
Tianyu Tian ◽  
Hongtao Ling ◽  
Tianyu Qiu
Keyword(s):  
Algebraic Model ◽  
Parametric Models ◽  
Control Algorithms ◽  
Hyperbolic Tangent ◽  
Mr Dampers ◽  
Shock Absorbers ◽  
Nonlinear Hysteresis ◽  
Proposed Model ◽  
Fluid Damper ◽  
Tangent Function

Magnetorheological (MR) dampers whose nonlinear hysteresis is a rather complicated phenomenon have been widespread in mechanical systems, automobile shock absorbers, the civil engineering, etc. The understanding of such a behaviour is helpful to control effectively and utilize maximum advantages of MR dampers. It is vitally important to construct parametric models used to develop control algorithms. Hence, the current study aims at developing a parametric model which exhibits considerably better predictions than that of more complicated models. In addition to achieving such a target, a simple algebraic model including only an exponential function, a hyperbolic tangent function, and other algebraic expressions can be able to capture the non-linear hysteresis adequately. Compared to an existing algebraic model and the experimental dataset, the proposed model is a reliable one.

Sign in / Sign up

Export Citation Format

Share Document