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Keywords = skyhook damper

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26 pages, 5325 KiB  
Article
Hybrid Damping Mode MR Damper: Development and Experimental Validation with Semi-Active Control
by Jeongwoo Lee and Kwangseok Oh
Machines 2025, 13(5), 435; https://doi.org/10.3390/machines13050435 - 20 May 2025
Viewed by 758
Abstract
This study introduces a novel magnetorheological (MR) damper for semi-active vehicle suspension systems that enhance ride comfort and handling stability. The proposed damper integrates reverse and normal damping modes, enabling independent control of rebound and compression strokes through an external MR valve. This [...] Read more.
This study introduces a novel magnetorheological (MR) damper for semi-active vehicle suspension systems that enhance ride comfort and handling stability. The proposed damper integrates reverse and normal damping modes, enabling independent control of rebound and compression strokes through an external MR valve. This configuration supports four damping modes—Soft/Soft, Hard/Soft, Soft/Hard, and Hard/Hard—allowing adaptability to varying driving conditions. Magnetic circuit optimization ensures rapid damping force adjustments (≈10 ms), while a semi-active control algorithm incorporating skyhook logic, roll, dive, and squat control strategies was implemented. Experimental validation on a mid-sized sedan demonstrated significant improvements, including a 30–40% reduction in vertical acceleration and pitch/roll rates. These enhancements improve vehicle safety by reducing body motion during critical maneuvers, potentially lowering accident risk and driver fatigue. In addition to performance gains, the simplified MR damper architecture and modular control facilitate easier integration into diverse vehicle platforms, potentially streamlining vehicle design and manufacturing processes and enabling cost-effective adoption in mass-market applications. These findings highlight the potential of MR dampers to support next-generation vehicle architectures with enhanced adaptability and manufacturability. Full article
(This article belongs to the Special Issue Adaptive Control Using Magnetorheological Technology)
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25 pages, 16692 KiB  
Article
Performance Analysis and Hybrid Control Strategy Research of Vehicle Semi-Active Suspension for Ride Comfort and Handling Stability
by Fei Wang, Hansheng Wen and Sanshan Xie
Machines 2025, 13(5), 393; https://doi.org/10.3390/machines13050393 - 8 May 2025
Viewed by 779
Abstract
With the advancement of vehicle electrification and intelligence, changes in powertrain system architecture and the addition of battery components have significantly deteriorated vehicle dynamics characteristics. Adjustable damping dampers improve vehicle performance by modifying suspension damping characteristics. Therefore, in this paper, a high-precision multi-dimensional [...] Read more.
With the advancement of vehicle electrification and intelligence, changes in powertrain system architecture and the addition of battery components have significantly deteriorated vehicle dynamics characteristics. Adjustable damping dampers improve vehicle performance by modifying suspension damping characteristics. Therefore, in this paper, a high-precision multi-dimensional vehicle performance representation model is developed, which includes the dynamics models of the steering and suspension systems and utilizes test results to reflect the constitutive properties of the complex nonlinear structures. The influence regularities of the suspension damping ratio on ride comfort and handling stability are analyzed, and a hybrid control strategy is proposed, which utilizes acceleration-driven damper–Skyhook control logic for vertical control and trigger rule-based control logic for lateral and longitudinal control. Finally, the effectiveness of the control strategy is validated through ride comfort and handling stability tests. The results show that the proposed hybrid control strategy significantly reduces vehicle body vibration acceleration and improves vehicle dynamic response during steering and acceleration/braking conditions. Full article
(This article belongs to the Section Vehicle Engineering)
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21 pages, 10563 KiB  
Article
6DOF Aircraft Landing Gear System with Magnetorheological Damper in Various Taxing and Touchdown Scenarios
by Quoc-Viet Luong, Quang-Ngoc Le, Jai-Hyuk Hwang and Thi-My-Nu Ho
Micromachines 2025, 16(3), 355; https://doi.org/10.3390/mi16030355 - 20 Mar 2025
Viewed by 941
Abstract
This manuscript presents a new approach to describe aircraft landing gear systems equipped with magnetorheological (MR) dampers, integrating a reinforcement learning-based neural network control strategy. The main target of the proposed system is to improve the shock absorber efficiency in the touchdown phase, [...] Read more.
This manuscript presents a new approach to describe aircraft landing gear systems equipped with magnetorheological (MR) dampers, integrating a reinforcement learning-based neural network control strategy. The main target of the proposed system is to improve the shock absorber efficiency in the touchdown phase, in addition to reducing the vibration due to rough ground in the taxing phase. The dynamic models of the aircraft landing system in the taxing phase with standard landing ground roughness, one-point touchdown, two-point touchdown, and third-point touchdown are built as the first step. After that, Q-learning-based reinforcement learning is developed. In order to verify the effectiveness of the controller, the co-simulations based on RECURDYN V8R4-MATLAB R2019b of the proposed system and the classical skyhook controller are executed. Based on the simulation results, the proposed controller provides better performance compared to the skyhook controller. The proposed controller provided a maximum improvement of 16% in the touchdown phase and 10% in the taxing phase compared to the skyhook controller. Full article
(This article belongs to the Special Issue Magnetorheological Materials and Application Systems)
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15 pages, 2994 KiB  
Article
New Mixed Skyhook and Displacement–Velocity Control for Improving the Effectiveness of Vibration Isolation in the Lateral Suspension System of a Railway Vehicle
by Yaojung Shiao and Tan-Linh Huynh
Appl. Sci. 2024, 14(24), 11680; https://doi.org/10.3390/app142411680 - 14 Dec 2024
Viewed by 925
Abstract
Demands for increasing the velocity and load carrying capacity of railway vehicles are a challenge to the passive suspension systems used for isolating the lateral vibrations of the carbody of a railway vehicle, especially under a wide range of vibration frequencies. Semiactive suspension [...] Read more.
Demands for increasing the velocity and load carrying capacity of railway vehicles are a challenge to the passive suspension systems used for isolating the lateral vibrations of the carbody of a railway vehicle, especially under a wide range of vibration frequencies. Semiactive suspension systems, especially systems with a magnetorheological damper (MRD), have been investigated as promising alternatives. Many control algorithms have been developed for fine-tuning the damping force generated by MRDs, but they have been ineffective in isolating carbody vibrations at or around the resonance frequencies of the carbody and bogie. This study aims to develop a mixed control algorithm for a new skyhook (SH) control and a new displacement–velocity (DV) control to improve the effectiveness of vibration isolation in resonance frequency regions while producing high performance across the remaining frequencies. The damping coefficient of the new SH controller depends on the vibration velocity of the components of the suspension system and the skyhook damping variable, whereas that of the new DV controller depends on the velocity and displacement of the components of the suspension system and the stiffness variable. The values of the skyhook damping variable and stiffness variable were identified from the vibration velocity of the carbody using the trial and error method. The results of a numerical simulation problem indicated that the proposed control method worked effectively at low frequencies, similar to the conventional SH–DV controller, whereas it significantly improved ride comfort at high frequencies; at the resonance frequency of the bogie (14.6 Hz), in particular, it reduced the vibration velocity and acceleration of the carbody by 50.85% and 45.39%, respectively, compared with the conventional mixed SH–DV controller. The simplicity and high performance of the new mixed SH–DV control algorithm makes it a promising tool to be applied to the semiactive suspension of railway vehicles in real-world applications. Full article
(This article belongs to the Special Issue Novel Advances in Noise and Vibration Control)
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21 pages, 7946 KiB  
Article
Design, Modeling, and Vibration Control of a Damper Based on Magnetorheological Fluid and Elastomer
by Zhuang Jin, Fufeng Yang, Xiaoting Rui, Min Jiang and Jiaqi Wang
Actuators 2024, 13(7), 241; https://doi.org/10.3390/act13070241 - 27 Jun 2024
Cited by 6 | Viewed by 2838
Abstract
The aim of this study is to propose a damper based on magnetorheological (MR) fluid and elastomer for application in vehicle engine mounting systems to dissipate the vibration energy transferred from the engine to the vehicle body. The magnetic circuit structure of the [...] Read more.
The aim of this study is to propose a damper based on magnetorheological (MR) fluid and elastomer for application in vehicle engine mounting systems to dissipate the vibration energy transferred from the engine to the vehicle body. The magnetic circuit structure of the damper has been precisely designed, and its reasonableness has been verified by static magnetic field simulation. After the principle prototype’s completion, the damper’s mechanical properties are tested by an electro–hydraulic servo fatigue machine. The results show that with the current increase, the damper’s in-phase stiffness increases by 20.6%. The equivalent damping improves by 81.6%, which indicates that the damper has a good MR effect. A new phenomenological model is proposed, and a genetic algorithm is used to identify the parameters of the model. Finally, a 1/4 vehicle engine vibration damping system model is established and a dynamics simulation is carried out. The simulation results show that the damper effectively reduces the vibration transmitted from the engine to the body, and the vibration-damping effect is even more obvious through sky-hook control. This proves that the damper proposed in this study has good vibration-damping performance. Full article
(This article belongs to the Special Issue Magnetorheological Actuators and Dampers)
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19 pages, 16452 KiB  
Article
Experimental Study on the Skyhook Control of a Magnetorheological Torsional Vibration Damper
by Zhicheng Wang, Hongsheng Hu, Jiabin Yang, Jiajia Zheng, Wei Zhao and Qing Ouyang
Micromachines 2024, 15(2), 236; https://doi.org/10.3390/mi15020236 - 2 Feb 2024
Cited by 2 | Viewed by 1965
Abstract
This study proposes a dual-coil magnetorheological torsional vibration damper (MRTVD) and verifies the effectiveness of semi-active damping control to suppress the shaft system’s torsional vibration via experimental research. Firstly, the mechanical model of the designed MRTVD and its coupling mechanical model with the [...] Read more.
This study proposes a dual-coil magnetorheological torsional vibration damper (MRTVD) and verifies the effectiveness of semi-active damping control to suppress the shaft system’s torsional vibration via experimental research. Firstly, the mechanical model of the designed MRTVD and its coupling mechanical model with the rotating shaft system are established. Secondly, the torsional response of the shaft system is obtained via resonance experiments, and the influence of the current on the torsional characteristics of the magnetorheological torsional damper is analyzed. Finally, the MRTVD is controlled using the skyhook control approach. The experimental results demonstrate that when the main shaft passes through the critical speed range at various accelerations, the amplitude of the shaft’s torsional vibration decreases by more than 15%, and the amplitude of the shaft’s torsional angular acceleration decreases by more than 22%. These conclusions validate the inhibitory effect of MRTVD on the main shaft’s torsional vibrations under skyhook control. Full article
(This article belongs to the Special Issue Magnetorheological Materials and Application Systems)
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15 pages, 4801 KiB  
Article
An Intelligent Control and a Model Predictive Control for a Single Landing Gear Equipped with a Magnetorheological Damper
by Quang-Ngoc Le, Hyeong-Mo Park, Yeongjin Kim, Huy-Hoang Pham, Jai-Hyuk Hwang and Quoc-Viet Luong
Aerospace 2023, 10(11), 951; https://doi.org/10.3390/aerospace10110951 - 11 Nov 2023
Cited by 7 | Viewed by 2173
Abstract
Aircraft landing gear equipped with a magnetorheological (MR) damper is a semi-active system that contains nonlinear behavior, disturbances, uncertainties, and delay times that can have a huge impact on the landing’s performance. To solve this problem, this paper adopts two types of controllers, [...] Read more.
Aircraft landing gear equipped with a magnetorheological (MR) damper is a semi-active system that contains nonlinear behavior, disturbances, uncertainties, and delay times that can have a huge impact on the landing’s performance. To solve this problem, this paper adopts two types of controllers, which are an intelligent controller and a model predictive controller, for a landing gear equipped with an MR damper to improve the landing gear performance considering response time in different landing cases. A model predictive controller is built based on the mathematical model of the landing gear system. An intelligent controller based on a neural network is designed and trained using a greedy bandit algorithm to improve the shock absorber efficiency at different aircraft masses and sink speeds. In this MR damper, the response time is assumed to be constant at 20 ms, which is similar to the response time of the commercial MR damper. To verify the efficiency of the proposed controllers, numerical simulations compared with a passive damper and a skyhook controller in different landing cases are executed. The major finding indicates that the suggested controller performs better in various landing scenarios than other controllers in terms of shock absorber effectiveness and adaptability. Full article
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15 pages, 940 KiB  
Article
Comfort-Oriented Semi-Active Suspension Configuration with Inerter-Based Network Synthesis
by Yalin Li, Shichang Han, Junlin Xiong and Wenbo Wang
Actuators 2023, 12(7), 290; https://doi.org/10.3390/act12070290 - 16 Jul 2023
Cited by 5 | Viewed by 2117
Abstract
This paper presents a comfort-oriented semi-active suspension system composed of a network-synthesized passive section and a controllable section based on a semi-active inerter. Firstly, the semi-active suspension system is divided into a passive part and a controllable part. For the passive part, first-order [...] Read more.
This paper presents a comfort-oriented semi-active suspension system composed of a network-synthesized passive section and a controllable section based on a semi-active inerter. Firstly, the semi-active suspension system is divided into a passive part and a controllable part. For the passive part, first-order and second-order robust positive real controllers are designed. The problem with H2 cost is considered, and the bilinear matrix inequalities (BMI) are solved using an iterative method to obtain two admittance functions. The admittance functions are physically realized as two mechanical networks composed of mechanical passive elements such as inerter, spring, and damper (ISD). Then, the parameters of these mechanical elements in those networks are optimized by Particle Swarm Optimization (PSO). Secondly, a semi-active inerter based on Sky-hook control is introduced for the semi-active part of the suspension system. Finally, the semi-active ISD suspension structure is verified by a quarter vehicle model. The simulation results show that the first-order and second-order suspension systems optimize the RMS of the spring mass acceleration by 14.2% and 23.9%, respectively, as compared to traditional suspension systems. Furthermore, frequency-domain analysis also shows that both suspension systems effectively reduce the value of spring mass acceleration in the low-frequency band. Full article
(This article belongs to the Section Actuators for Surface Vehicles)
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25 pages, 4464 KiB  
Tutorial
Active Damping, Vibration Isolation, and Shape Control of Space Structures: A Tutorial
by André Preumont
Actuators 2023, 12(3), 122; https://doi.org/10.3390/act12030122 - 14 Mar 2023
Cited by 16 | Viewed by 4101
Abstract
This tutorial reviews the author’s contributions to the active control of precision space structures over the past 35 years. It is based on the Santini lecture presented at the IAC-2022 Astronautical Congress in Paris in September 2022. The first part is devoted to [...] Read more.
This tutorial reviews the author’s contributions to the active control of precision space structures over the past 35 years. It is based on the Santini lecture presented at the IAC-2022 Astronautical Congress in Paris in September 2022. The first part is devoted to the active damping of space trusses with an emphasis on robustness. Guaranteed stability is achieved by using decentralized collocated actuator–sensor pairs. The so-called integral force feedback (IFF) is simple, robust, and effective, and the performances can be predicted easily with simple formulae based on modal analyses. These predictions have been confirmed by numerous experiments. The damping strategy for trusses has been extended to cable structures, and also confirmed experimentally. The second part addresses the problem of vibration isolation: isolating a sensitive payload from the vibration induced by the spacecraft (i.e., the unbalanced mass of attitude control reaction wheels and gyros). A six-axis isolator based on a Gough–Stewart platform is discussed; once again, the approach emphasizes robustness. Two different solutions are presented: The first one (active isolation) uses a decentralized controller with collocated pairs of the actuator and force sensor, with IFF control. It is demonstrated that this special implementation of the skyhook, unlike the classical one, has guaranteed stability, even if the two substructures it connects are flexible (typical of large space structures). A second approach (passive) discusses an electromagnetic implementation of the relaxation isolator where the classical dash-pot of the linear damper is substituted by a Maxwell unit, leading to an asymptotic decay rate of −40 dB/decade, similar to the skyhook (although much simpler in terms of electronics). The third part of the lecture summarizes more recent work done on the control of flexible mirrors: (i) flat mirrors for adaptive optics (AO) controlled by an array of piezoelectric ceramic (PZT) actuators and (ii) spherical thin shell polymer reflectors controlled by an array of piezoelectric polymer actuators (PVDF-TrFE) aimed at being deployed in space. Full article
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19 pages, 6629 KiB  
Article
Development of a Control Algorithm for a Semi-Active Mid-Story Isolation System Using Reinforcement Learning
by Hyun-Su Kim and Uksun Kim
Appl. Sci. 2023, 13(4), 2053; https://doi.org/10.3390/app13042053 - 4 Feb 2023
Cited by 6 | Viewed by 2721
Abstract
The semi-active control system is widely used to reduce the seismic response of building structures. Its control performance mainly depends on the applied control algorithms. Various semi-active control algorithms have been developed to date. Recently, machine learning has been applied to various engineering [...] Read more.
The semi-active control system is widely used to reduce the seismic response of building structures. Its control performance mainly depends on the applied control algorithms. Various semi-active control algorithms have been developed to date. Recently, machine learning has been applied to various engineering fields and provided successful results. Because reinforcement learning (RL) has shown good performance for real-time decision-making problems, structural control engineers have become interested in RL. In this study, RL was applied to the development of a semi-active control algorithm. Among various RL methods, a Deep Q-network (DQN) was selected because of its successful application to many control problems. A sample building structure was constructed by using a semi-active mid-story isolation system (SMIS) with a magnetorheological damper. Artificial ground motions were generated for numerical simulation. In this study, the sample building structure and seismic excitation were used to make the RL environment. The reward of RL was designed to reduce the peak story drift and the isolation story drift. Skyhook and groundhook control algorithms were applied for comparative study. Based on numerical results, this paper shows that the proposed control algorithm can effectively reduce the seismic responses of building structures with a SMIS. Full article
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24 pages, 7935 KiB  
Article
Development of a Novel Seat Suspension Based on the Cubic Stewart Parallel Mechanism and Magnetorheological Fluid Damper
by Teng Ma, Tiejun Li, Guoxi Jing, Hai Liu and Fengrong Bi
Appl. Sci. 2022, 12(22), 11437; https://doi.org/10.3390/app122211437 - 11 Nov 2022
Cited by 10 | Viewed by 1988
Abstract
To alleviate the impact and vibrations to a driver in multiple directions during the driving of non-road vehicles, the authors of this paper proposed a multi-degree-of-freedom (MDOF) seat damping suspension that was based on the cubic Stewart mechanism and magnetorheological fluid (MRF) damper. [...] Read more.
To alleviate the impact and vibrations to a driver in multiple directions during the driving of non-road vehicles, the authors of this paper proposed a multi-degree-of-freedom (MDOF) seat damping suspension that was based on the cubic Stewart mechanism and magnetorheological fluid (MRF) damper. A kinematics analysis of the cubic Stewart mechanism was carried out. The relative motion velocity of each leg of the Stewart mechanism was calculated from the center velocity of the upper and lower platforms, according to a reverse kinematics equation. Furthermore, forward and inverse dynamic models of the MRF damper were established, which laid the foundation for semi-active control of the seat suspension. Finally, a semi-active control method for multidimensional damping based on the optimized fuzzy skyhook control method was proposed. The research results showed that using this method could simultaneously improve the vibration damping performance of a seat suspension in the vertical, horizontal, and roll directions. Full article
(This article belongs to the Section Acoustics and Vibrations)
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16 pages, 2360 KiB  
Article
A Multi-Hook Control Strategy for a Semi-Active Device Combining an Adjustable Inerter and Damper
by Xiaoliang Zhang, Yimu Zhang, Yue Zhao and Jiamei Nie
Actuators 2022, 11(10), 297; https://doi.org/10.3390/act11100297 - 16 Oct 2022
Cited by 1 | Viewed by 2418
Abstract
Neither the separate skyhook damping nor the skyhook inertance control strategy can adapt to the variations of both road and load conditions simultaneously. To address this issue, this work proposed a novel ideal multi-hook system by combining the skyhook inerter and hybrid damper, [...] Read more.
Neither the separate skyhook damping nor the skyhook inertance control strategy can adapt to the variations of both road and load conditions simultaneously. To address this issue, this work proposed a novel ideal multi-hook system by combining the skyhook inerter and hybrid damper, with both of their coefficients optimized. The proposed system can achieve road holding without sacrificing ride comfort. Depending on whether the inerter and damper were adjusted independently or together, this ideal multi-hook was realized semi-actively in two different control models with three different control strategies, i.e., independent, inertance-based and damping-based control. The effects of these strategies were compared and analyzed. The simulation results show that compared with passive suspension, the root mean square value of body acceleration of the three kinds of multi-hook suspension decreases by more than 40% under different loads and by more than 28% on the roads of Classes A, B and C. Compared with the skyhook damping suspension, the dynamic wheel load of the multi-hook suspensions is reduced by more than 27.5%, proving that the semi-active suspension system with multi-hook control guarantees handling stability under various road and load conditions while ensuring ride comfort. Full article
(This article belongs to the Section Actuators for Surface Vehicles)
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15 pages, 7581 KiB  
Article
Modelling and Experiment of an Adjustable Device Combining an Inerter and a Damper
by Xiaoliang Zhang, Weian Zhu and Jiamei Nie
Machines 2022, 10(9), 807; https://doi.org/10.3390/machines10090807 - 14 Sep 2022
Cited by 5 | Viewed by 2136
Abstract
In an effort to solve the issue of unadjustable damping of skyhook inertance suspension, a new adjustable device combining an inerter and a damper that aims to simultaneously adjust the inertance and damping was proposed. This article proposes a near practical mathematical model [...] Read more.
In an effort to solve the issue of unadjustable damping of skyhook inertance suspension, a new adjustable device combining an inerter and a damper that aims to simultaneously adjust the inertance and damping was proposed. This article proposes a near practical mathematical model of such an adjustable device, and the model is found to be equivalent to a parallel connection of an adjustable inerter and damper. A prototype of such a device is made, and its damping and inertial forces are separated through quasi-static and dynamic mechanical character tests. The validity of the theoretical models is verified through a comparison between the test and simulation results of the mechanical character with a maximum error of 4.96% for the damping model and 6.28% for the inertial model, which lays the foundation for subsequent studies on adjustable regular patterns of inertance and damping as well as applications in semi-active ISD suspensions. In addition, the device simplifies an inerter and a damper into one device and reduces the layout space and cost, which is of great engineering application value. Full article
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19 pages, 3500 KiB  
Article
Design and Analysis of a Hybrid Annular Radial Magnetorheological Damper for Semi-Active In-Wheel Motor Suspension
by Olivier Munyaneza, Pacifique Turabimana, Jong-Seok Oh, Seung-Bok Choi and Jung Woo Sohn
Sensors 2022, 22(10), 3689; https://doi.org/10.3390/s22103689 - 12 May 2022
Cited by 9 | Viewed by 2661
Abstract
In this study, a novel hybrid annular radial magnetorheological damper (HARMRD) is proposed to improve the ride comfort of an electric vehicle (EV) powered by an in-wheel motor (IWM). The model primarily comprises annular-radial ducts in series with permanent magnets. Mathematical models representing [...] Read more.
In this study, a novel hybrid annular radial magnetorheological damper (HARMRD) is proposed to improve the ride comfort of an electric vehicle (EV) powered by an in-wheel motor (IWM). The model primarily comprises annular-radial ducts in series with permanent magnets. Mathematical models representing the governing motions are formulated, followed by finite element analysis of the HARMRD to investigate the distribution of the magnetic field density and intensity of the magnetorheological (MR) fluid in both the annular and radial ducts. The optimized model generates a damping force of 87.3–445.7 N at the off-state (zero input current) with the excitation velocity ranging between 0 and 0.25 m/s. By contrast, the generated damping force varies from 3386.4 N to 3753.9 N at an input current of 1.5 A with the same velocity range as the off state. The damping forces obtained using the proposed model are 31.4% and 19.2% higher for the off-field and on-field states, respectively, compared with those of the conventional annular radial MR damper. The efficiency of the proposed model is evaluated by adopting two different vehicles: a conventional vehicle powered by an engine and an EV powered by an IWM. The simulation results demonstrate that the proposed HARMRD along with the skyhook controller significantly improves both the ride comfort and road-holding capability for both types of vehicles. Full article
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21 pages, 9484 KiB  
Article
Skyhook Control Law Extension for Suspension with Nonlinear Spring Characteristics
by Kamil Zając, Janusz Kowal and Jarosław Konieczny
Energies 2022, 15(3), 754; https://doi.org/10.3390/en15030754 - 20 Jan 2022
Cited by 5 | Viewed by 3287
Abstract
This work aimed to improve the vehicle body stability and the ride comfort of the tracked military vehicle crew. For this purpose, magnetorheological fluid dampers were used. This process has made the theoretical model of the tracked platform a semi-active suspension system. This [...] Read more.
This work aimed to improve the vehicle body stability and the ride comfort of the tracked military vehicle crew. For this purpose, magnetorheological fluid dampers were used. This process has made the theoretical model of the tracked platform a semi-active suspension system. This modification allows for the application of different control laws to these systems. The usage of the continuous skyhook control law assumes the influence of three fictitious viscous dampers. Their force in this conceptual model is replicated by the magnetorheological dampers of the suspension in the real system. However, the continuous skyhook control law does not take into consideration the nonlinear stiffness characteristics. In this paper, the continuous skyhook control law has been appropriately modified. The modification takes into consideration the nonlinearity of the stiffness characteristics. Applying the modified continuous skyhook control law improves the stability of the vehicle body and the vehicle crew’s ride comfort. All these goals had to be introduced due to the modernization of the tracked military vehicle suspension by replacing the torsion bars with spiral spring packages with nonlinear characteristics. Full article
(This article belongs to the Special Issue Automation and Robotics Application in Energy Systems)
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