Abstract:To overcome the shortcomings of the Bouc–Wen model, such as too many parameters, complex identification process, and long time consuming, the sensitivity of parameters was analyzed. A Bouc–Wen optimum model with sensitive parameters to guarantee calculating accuracy was established. First, according to the results of the magnetorheological damper’s mechanical property test, the sensitivity of Bouc–Wen model’s parameters was analyzed by the one-at-a-time method. Optimization of the Bouc–Wen model was completed.… Show more
“…at the top of variables represents the first order derivative of the variables with respect to time; i is the current applied to the MRD; k and c are the stiffness and damping function of the efficient current, respectively; a is function related to the MR material yield stress; x 0 is the initial displacement, A, b, g, and n are the parameters of the Bouc-Wen hysteresis operator. Based on the genetic algorithm identification method proposed in Jiang et al (2021), the parameters can be obtained as…”
Section: Modeling Methods and Experimental Resultsmentioning
confidence: 99%
“…Based on the genetic algorithm identification method proposed in Jiang et al (2021), the parameters can be obtained as…”
Section: Modeling and Control For T-dependent Hysteresis Of The Mrdmentioning
The temperature-dependence (T-dependence) characteristics of magnetorheological fluids (MRFs) cause the damping force of magnetorheological dampers (MRDs) to change with temperature. The rapid temperature rise can lead to performance degradation or even failure of MRFs, reduced damping force of MRDs, and decline in control performance. In this paper, numerical simulations and predictions of the temperature rise characteristics of the MRD are performed and heat sinks are designed and optimized. The experimental results verify the efficiency of the simulations and predictions, and the heat sinks can significantly reduce the rate of temperature increase and improve the ability of the damper to operate for long hours. In order to accurately compensate for T-dependence characteristics of the MRD, a T-dependence hysteresis model and a model-based feedforward force tracking control method with disturbance observation of the MRD are proposed and validated by experiments. The experimental results indicate that the proposed T-dependence model has better prediction accuracy than the general hysteresis model, and the feedforward control method achieves good force tracking performance even without expensive force sensors.
“…at the top of variables represents the first order derivative of the variables with respect to time; i is the current applied to the MRD; k and c are the stiffness and damping function of the efficient current, respectively; a is function related to the MR material yield stress; x 0 is the initial displacement, A, b, g, and n are the parameters of the Bouc-Wen hysteresis operator. Based on the genetic algorithm identification method proposed in Jiang et al (2021), the parameters can be obtained as…”
Section: Modeling Methods and Experimental Resultsmentioning
confidence: 99%
“…Based on the genetic algorithm identification method proposed in Jiang et al (2021), the parameters can be obtained as…”
Section: Modeling and Control For T-dependent Hysteresis Of The Mrdmentioning
The temperature-dependence (T-dependence) characteristics of magnetorheological fluids (MRFs) cause the damping force of magnetorheological dampers (MRDs) to change with temperature. The rapid temperature rise can lead to performance degradation or even failure of MRFs, reduced damping force of MRDs, and decline in control performance. In this paper, numerical simulations and predictions of the temperature rise characteristics of the MRD are performed and heat sinks are designed and optimized. The experimental results verify the efficiency of the simulations and predictions, and the heat sinks can significantly reduce the rate of temperature increase and improve the ability of the damper to operate for long hours. In order to accurately compensate for T-dependence characteristics of the MRD, a T-dependence hysteresis model and a model-based feedforward force tracking control method with disturbance observation of the MRD are proposed and validated by experiments. The experimental results indicate that the proposed T-dependence model has better prediction accuracy than the general hysteresis model, and the feedforward control method achieves good force tracking performance even without expensive force sensors.
“…Therefore, the nonlinear model of the MR hydro-pneumatic spring can be established by combining the elastic force calculation model of the accumulator and the Bouc-Wen model of the MR damper. The mathematical expression of Bouc-Wen model of the MR hydro-pneumatic spring can be obtained from Equations ( 29) to (31), as shown in Equation (32) and Equation (33).…”
Section: Nonlinear Model Of the Mr Hydro-pneumatic Springmentioning
confidence: 99%
“…Based on my previous research [31,32], the parameter identification method of MR damper Bouc-Wen model is used to identify the parameters of the MR hydropneumatic spring's Bouc-Wen model. The identification results are shown in Table 4.According to Table 4, the relationship between parameters and current is fitted by the least square method.…”
Section: Nonlinear Model Of the Mr Hydro-pneumatic Springmentioning
Aiming at the problem that the damping coefficient of the traditional hydropneumatic spring cannot be adjusted in real-time, the magnetorheological (MR) damping technology was introduced into the traditional hydro-pneumatic spring with single gas chamber. A new shear-valve mode MR hydro-pneumatic spring was proposed. And its dynamic performance was analyzed based on multi-physical coupling simulation and mechanical property test. Firstly, a structural scheme of MR hydropneumatic suspension was proposed to ensure the original height adjustment function based on the working principle of traditional hydro-pneumatic suspension with single gas chamber. Secondly, based on the design requirements, the parameter of MR hydropneumatic spring damping structure was designed by using MR damper design method. Thirdly, the multi-physical coupling dynamic performance of the MR hydro-pneumatic spring damping structure was analyzed based on the electromagnetic field analysis theory, flow field analysis theory and thermal field analysis theory. The analysis results showed that the designed MR hydro-pneumatic spring has reasonable magnetic circuit structure and excellent working performance. Then, the mechanical properties of MR hydro-pneumatic spring were tested. The results showed that the maximum damping force can reach 20kN, and the dynamic adjustable multiple can reach 6.4 times. It has good controllability and meets the design requirements. Finally, a nonlinear model of MR hydro-pneumatic spring was established based on the elastic force calculation model of the gas and the Bouc-Wen model. The simulation results of the established model agree well with the experimental results, which can accurately describe the dynamic properties of the hydro-pneumatic spring. The proposed design and modeling method of the MR hydro-pneumatic spring can provide a theoretical basis for the related vibration damping devices.
“…It is verified that the MRD can effectively reduce the earthquake response of the structure. Meanwhile scholars continuously optimize it [16,17] and have proposed models with higher accuracy [18][19][20][21]. Bui et al [22] developed a new parametric dynamic model named quasi-static Magic Formula model based on the improvement of the MF hysteresis operator incorporation with the quasi-static (QS) model.…”
Magnetorheological dampers (MRDs) are applied to hydraulic systems, which not only improve the underdamped characteristics of valve-controlled cylinder systems, but also help hydraulic actuators to resist high load impact. However, the high power density leads to the complexity of the internal flow channel of the damper, which seriously affects the output accuracy of the damping force. It can lead to the fact that existing dynamics models cannot accurately describe the hysteresis characteristics of the MRD. Therefore, this study proposes a simple and general dynamic model of MRD, which solves the problem that existing models are complex and difficult to invert. Firstly, the hydraulic damping actuator (HDA) with the series MRD is taken as the research object. Based on the stress-strain hysteresis characteristics under the cyclic constitutive model, the hyperbolic tangent curve is reorganized and normalized. It can accurately describe the yield formation and yield dissipation stages of the hysteresis loop. Secondly, the relationship between the parameters of the dynamic model and the current is obtained according to the mechanical experimental data. Then the inverse model of the MRD is established by using the method of section-backstepping. Finally, in the static experiment, the Mean Absolute Percentage Error(MAPE) of the force at different velocity is less than 7.5%; In the dynamic experimental test, the MAPE of the force is 9.7%. The inverse dynamics model is verified to have high tracking performance under both static and dynamic forces. And it also indirectly confirms the effectiveness of the forward model.
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