• Title/Summary/Keyword: Nonlinear Tire Model

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Development of Tire Lateral Force Monitoring Systems Using Nonlinear Observers (비선형 관측기를 이용한 차량의 타이어 횡력 감지시스템 개발)

  • 김준영;허건수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.4
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    • pp.169-176
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    • 2000
  • Longitudinal and lateral forces acting on tires are known to be closely related to the tract-ability braking characteristics handling stability and maneuverability of ground vehicles. In thie paper in order to develop tire force monitoring systems a monitoring model is proposed utilizing not only the vehicle dynamics but also the roll motion. Based on the monitoring model three monitoring systems are developed to estimate the tire force acting on each tire. Two monitoring systems are designed utilizing the conventional estimation techniques such as SMO(Sliding Mode Observer) and EKF(Extended Kalman Filter). An additional monitoring system is designed based on a new SKFMEC(Scaled Kalman Filter with Model Error Compensator) technique which is developed to improve the performance of EKF method. Tire force estimation performance of the three monitoring systems is compared in the Matlab simulations where true tire force data is generated from a 14 DOF vehicle model with the combined-slip Magic Formula tire model. The built in our Lab. simulation results show that the SKFMEC method gives the best performance when the driving and road conditions are perturbed.

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A Study on the Full Active 4WS Control Method Using Nonlinear Tire Model (비선형 타이어모델을 이용한 완전능동형 4WS 제어방법에 관한 연구)

  • 김형내;김석일;김동룡;김건상
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.3
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    • pp.76-85
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    • 1997
  • The understeer characteristics of four wheel steering system(4WS system) in a high speed region have a negative effect upon the yaw velocity, leading to a decrease in the handling ability of vehicle. As a result, even if the side slip angle of vehicle can be kept up a minimum, a driver must compensate a decrease in yaw velocity by increasing the steering wheel angle in order to track the desired vehicle path. In this study, to keep the side slip angle of vehicle at zero and achieve a suitable yaw velocity in vehicle motion, a full active 4WS system(FA 4WS system) with actively steerable front and rear wheels is presented based on a nonlinear vehicle model and a model following control of yaw velocity. And the analysis results show the fat that, besides the excellent stability of vehicle, the FA 4WS system is able to realize better handling performance of vehicle than the previous 4WS systems in the high speed region.

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A Study on the Steady-State Cornering of a Vehicle Considering Roll Motion (롤 운동을 고려한 차량의 정상상태 선회주행에 관한 연구)

  • 이장무;윤중락;강주석;배상우;탁태오
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.6
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    • pp.89-102
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    • 1997
  • In this study, the steady state cornering behavior of a vehicle is investigated by using a numerical model that has parameters associated with roll motion. The nonlinear characteristics of tire cornering forces and aligning torques are presented in analytical forms using the magic formula. The sets of nonlinear algebraic equations that govern the cornering motion are solved by the Newton-Raphson iteration method. The vehicle design parameters are measured by SPMD(Suspension Parameter Measuring Device), and its results are verified by carrying out a skid pad test. The design parameters that are most affecting the steady state cornering behavior are classified into four factors, and the contributions of the factors to understeer gradient are then calculated.

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Tire Lateral Force Estimation System Using Nonlinear Kalman Filter (비선형 Kalman Filter를 사용한 타이어 횡력 추정 시스템)

  • Lee, Dong-Hun;Kim, In-Keun;Huh, Kun-Soo
    • Transactions of the Korean Society of Automotive Engineers
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    • v.20 no.6
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    • pp.126-131
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    • 2012
  • Tire force is one of important parameters which determine vehicle dynamics. However, it is hard to measure tire force directly through sensors. Not only the sensor is expensive but also installation of sensors on harsh environments is difficult. Therefore, estimation algorithms based on vehicle dynamic models are introduced to estimate the tire forces indirectly. In this paper, an estimation system for estimating lateral force and states is suggested. The state-space equation is constructed based on the 3-DOF bicycle model. Extended Kalman Filter, Unscented Kalman Filter and Ensemble Kalman Filter are used for estimating states on the nonlinear system. Performance of each algorithm is evaluated in terms of RMSE (Root Mean Square Error) and maximum error.

A Development of New Vehicle Model for Yaw Rate Estimation (요각속도 추정을 위한 새로운 차량 모델의 개발)

  • Bae, Sang-Woo;Shin, Moo-Hyun;Kim, Dae-Kyun;Lee, Jang-Moo;Lee, Jae-Hyung;Tak, Tae-Oh
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.565-570
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    • 2001
  • Vehicle dynamics control (VDC) system requires more information on driving conditions compared with ABS and/or TCS. In order to develop the VDC system, tire slip angles, vehicle side-slip angle, and vehicle lateral velocity as well as road friction coefficient are needed. Since there are not any cheap and reliable sensors, recent researches on parameter estimation have given rise to a number of parameter estimation techniques. This paper presents new vehicle model to estimate vehicle's yaw rate. This model is improved from the conventional 2 degrees of freedom vehicle model, so-called bicycle model, taking nonlinear effects into account. These nonlinear effects are: (i) tyre nonlinearity; (ii) lateral load transfer during cornering; (iii) variable gear ratio with respect to vehicle velocity. Estimation results are validated with the experimental results.

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STUDY ON RIDE QUALITY OF A HEAVY-DUTY OFF-ROAD VEHICLE WITH A NONLINEAR HYDROPNEUMATIC SPRING

  • SUN T.;YU F.
    • International Journal of Automotive Technology
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    • v.6 no.5
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    • pp.483-489
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    • 2005
  • Based on a two-degree of freedom vehicle model, this paper investigates ride comfort for a heavy off-road vehicle mounted a nonlinear hydropneumatic spring, which is influenced by nonlinear stiffness and damping characteristics of the hydropneumatic spring. Especially, the damping force is derived by applying H. Blasius formula in modeling process according to the real physical structure of the hydropneumatic spring, and the established model of nonlinear stiffness characteristics have been validated by experiments. Furthermore, the effects of parameter variations of the hydropneumatic spring, such as initial charge pressure and damping coefficient, on body acceleration, suspension deflection and dynamic tire deflection are also investigated.

A Study on the Vehicle Dynamic Characteristics Considering Powertrain and Brake Systems (동력전달계와 제동계를 고려한 차량의 운동 특성에 관한 연구)

  • Bae, Sang-Woo;Lee, Chi-Bum;Yun, Jung-Rak;Lee, Jang-Moo;Tak, Tae-Oh
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.684-689
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    • 2000
  • In this paper, the equations of motion about vehicle, powertrain and brake system were derived. The vehicle has eight degrees of freedom with nonlinear tire model and the powertrain has two degrees of freedom containing engine, torque converter and four speed automatic transmission. The brake system has two states about front and rear brake line pressures. The transient tire model with first order time lag is also subjoined for low speed or stop-and-go simulation. The modeling was derived considering two points - the fidelity and the simplicity. The simulation using this model is similar with real vehicle dynamic behavior and the model is made as simple as possible far fast simulation. It is validated that the derived vehicle model can be applicable to the real time simulation.

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Experimental and numerical investigation on flexural response of reinforced rubberized concrete beams using waste tire rubber

  • Memduh Karalar;Hakan Ozturk;Yasin Onuralp Ozkilic
    • Steel and Composite Structures
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    • v.48 no.1
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    • pp.43-57
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    • 2023
  • The impacts of waste tire rubber (WTR) on the bending conduct of reinforced concrete beams (RCBs) are investigated in visualization of experimental tests and 3D finite element model (FEM) using both ANSYS and SAP2000. Several WTR rates are used in total 4 various full scale RCBs to observe the impact of WTR rate on the rupture and bending conduct of RCBs. For this purpose, the volumetric ratios (Vf) of WTR were chosen to change to 0%, 2.5%, 5% and 7.5% in the whole concrete. In relation to experimental test consequences, bending and rupture behaviors of the RCBs are observed. The best performance among the beams was observed in the beams with 2.5% WTR. Furthermore, as stated by test consequences, it is noticed that while WTR rate in the RCBs is improved, max. bending in the RCBs rises. For test consequences, it is clearly recognized as WTR rate in the RCB mixture is improved from 0% to 2.5%, deformation value in the RCB remarkably rises from 3.89 cm to 7.69 cm. This consequence is markedly recognized that WTR rates have a favorable result on deformation values in the RCBs. Furthermore, experimental tests are compared to 3D FEM consequences via using ANSYS software. In the ANSYS, special element types are formed and nonlinear multilinear misses plasticity material model and bilinear misses plasticity material model are chosen for concrete and compression and tension elements. As a consequence, it is noticed that each WTR rates in the RCBs mixture have dissimilar bending and rupture impacts on the RCBs. Then, to observe the impacts of WTR rate on the constructions under near-fault ground motions, a reinforced-concrete building was modelled via using SAP2000 software using 3-D model of the construction to complete nonlinear static analysis. Beam, column, steel haunch elements are modeled as nonlinear frame elements. Consequently, the seismic impacts of WTR rate on the lateral motions of each floor are obviously investigated particularly. Considering reduction in weight of structure and capacity of the members with using waste tire rubber, 2.5% of WTR resulted in the best performance while the construction is subjected to near fault earthquakes. Moreover, it is noticeably recognized that WTR rate has opposing influences on the seismic displacement behavior of the RC constructions.

Finite element analysis and theoretical modeling of GFRP-reinforced concrete compressive components having waste tire rubber aggregates

  • Mohamed Hechmi El Ouni;Ali Raza
    • Steel and Composite Structures
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    • v.52 no.1
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    • pp.57-76
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    • 2024
  • The management of waste tire rubber has become a pressing environmental and health issue, requiring sustainable solutions to mitigate fire hazards and conserve natural resources. The performance of waste materials in structural components needs to be investigated to fabricate sustainable structures. This study aims to investigate the behavior of glass fiber reinforced polymer (GFRP) reinforced rubberized concrete (GRRC) compressive components under compressive loads. Nine GRRC circular compressive components, varying in longitudinal and transverse reinforcement ratios, were constructed. A 3D nonlinear finite element model (FEM) was proposed by means of the ABAQUS software to simulate the behavior of the GRRC compressive components. A comprehensive parametric analysis was conducted to assess the impact of different parameters on the performance of GRRC compressive components. The experimental findings demonstrated that reducing the spacing of GFRP stirrups enhanced the ductility of GRRC compressive components, while the addition of rubberized concrete further improved their ductility. Failure in GRRC compressive components occurred in a compressive columnar manner, characterized by vertical cracks and increased deformability. The finite element simulations closely matched the experimental results. The proposed empirical model, based on 600 test samples and considering the lateral confinement effect of FRP stirrups, demonstrated higher accuracy (R2 = 0.835, MSE = 171.296, MAE = 203.549, RMSE = 195.438) than previous models.

Regeneration of Road Profile to Compensate Nonlinearties of Tires (타이어의 비선형성 보장을 위한 노면 형상의 재구성)

  • 김명규;김광석;유완석
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.8
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    • pp.199-207
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    • 1999
  • For the stress and vibration analysis of vehicle component by computer simulation, it is necessary to find the forces acting on the vehicle components due to the road profile undulation. A precise modeling of tires is not easy due to nonlinear effects between tire-ground. In this study, a new method is proposed to regenerate road profiles that preserves the same PSD of wheel with a linear tire model. Using the frequency response function between road-wheel , the digital signal processing method, and DADS program , road profile is regenerated from the computer simulation.

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