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Parameter Identification of Magic Formula tire model Based on Fibonacci Tree Optimization Algorithm

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Journal of Shanghai Jiaotong university(Science) 2021年第5期26卷 647-657页

作者：冯世林赵又群邓汇凡王秋伟陈婷婷 College of Energy and Power Engineering Nanjing University of Aeronautics and AstronauticsNanjing 210016China Department of IEOR University of CaliforniaBerkeleyBerkeleyCA 94720USA

The magic formula(MF)tire model is a semi-empirical tire model that can precisely simulate tire behavior.The heuristic optimization algorithm is typically used for parameter identification of the MF tire model.To avoid the defect of the traditional heuristic optimization algorithm that can easily fall into the local optimum,a parameter identification method based on the Fibonacci tree optimization(FTO)algorithm is proposed,which is used to identify the parameters of the MF tire model.The proposed method establishes the basic structure of the Fibonacci tree alternately through global and local searches and completes optimization accordingly.The global search rule in the original FTO was modified to improve its efficiency.The results of independent repeated experiments on two typical multimodal function optimizations and the parameter identification results showed that FTO was not sensitive to the initial values.In addition,it had a better global optimization performance than genetic algorithm(GA)and particle swarm optimization(PSO).The root mean square error values optimized with FTO were 5.09%,10.22%,and 3.98%less than the GA,and 6.04%,4.47%,and 16.42%less than the PSO in pure lateral and longitudinal forces,and pure aligning torque parameter identification.The parameter identification method based on FTO was found to be effective.

关键词： magic formula tire model parameter identification Fibonacci tree optimization(FTO)algorithm

Dynamics of vehicle-pavement coupled system based on a revised flexible roller contact tire model

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中国科学:技术科学 2010年第3期 341-341页

作者： YANG ShaoPu,LI ShaoHua & LU YongJie School of Mechanical Engineering,Shijiazhuang Railway Institute,Shijiazhuang 050043,China

A revised flexible roller contact tire model (RFRC tire model) is proposed,which considers not only the geometric and flexible filtering effect,but also tire damping and pavement displacement.A vehicle-pavement coupled system is modeled as a two DOF oscillator moving along a simply supported beam on a linear viscoelastic foundation.By using the Galerkin’s and Direct Integral method,dynamical responses of the vehicle-pavement coupled system are obtained based on the RFRC tire model and the traditional single point contact tire model (SPC tire model).The simulation results are compared with test data and the validity of the proposed RFRC tire model is verified.Differences between the two models are also investigated.It is found that the dynamical behaviors for both models agree with each other quite well when road surface roughness is a long harmonic wave.On the other hand,they are different under short harmonic wave or impulse road excitation.Thus the RFRC tire model should be used to compute the tire force and investigate dynamical responses of vehicle and pavement.

关键词： tire model dynamics flexible roller contact vehicle-pavement coupled system viscoelastic foundation

tire model Identification for Vehicle Steering and Handling Stability Analysis and Improvement for Ride Comfort Analysis

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Tire Model Identification for Vehicle Steering and Handling ...

2018中国汽车工程学会年会

作者： CHANG Xiuyan HU Yajun LIU Wenting GAO Shang JIANG Tinglong General R＆D Institute of China FAW

In the process of vehicle development,the characteristics control of steering and handling stability and ride performance of vehicle are vital as key performance index of vehicle.As a key vibration isolation component in the vehicle vibration transmission path,establishing an accurate response of tire is very important for improving the steering and handling stability and ride comfort analysis accuracy of vehicles.In this paper,nonlinear least squares method is used to identify the basic force and moment characteristics of tires,and to obtain high-precision steady-state F＆M tire model.This model is of high-precision in the analysis of steering and handling performance and satisfies to the need of vehicle dynamics development Additionally,to improve the accuracy of vehicle ride comfort analysis,the equivalent road shape,enveloping characteristics and dynamic response characteristics are introduced to accurately reflect the timedomain characteristics and frequency domain characteristics of the tire during contact with uneven ground.

关键词： tire model dynamic characteristics steering and handling stability ride comfort tire model identification

Ground maneuver for front-wheel drive aircraft via deep reinforcement learning

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Chinese Journal of Aeronautics 2021年第10期34卷 166-176页

作者： Hao ZHANG Zongxia JIAO Yaoxing SHANG Xiaochao LIU Pengyuan QI Shuai WU School of Automation Science and Electrical Engineering Bcihcmg UniversityBeijing 100083China Research Institute for Frontier Science Beihang UniversityBeijing 1000H3China Science and Technology on Aircraft Control Laboratory Beihang UniversityBeijing 100083China Key Laboratory of Advanced Aircraft Systems(Beihang University) Ministry of Industry and Information TechnologyBeijing 100083China Ningbo Institute of Technology Beihang UniversityNingbo 315800China The State Key Laboratory of Fluid Power and Mechatronic Systems Zhejiang University.Hangzhou 310027China

The maneuvering time on the ground accounts for 10%–30%of their flight time,and it always exceeds 50%for short-haul aircraft when the ground traffic is congested.Aircraft also contribute significantly to emissions,fuel burn,and noise when taxiing on the ground at airports.There is an urgent need to reduce aircraft taxiing time on the ground.However,it is too expensive for airports and aircraft carriers to build and maintain more runways,and it is space-limited to tow the aircraft fast using tractors.Autonomous drive capability is currently the best solution for aircraft,which can save the maneuver time for aircraft.An idea is proposed that the wheels are driven by APU-powered(auxiliary power unit)motors,APU is working on its efficient point;consequently,the emissions,fuel burn,and noise will be reduced significantly.For Front-wheel drive aircraft,the front wheel must provide longitudinal force to tow the plane forward and lateral force to help the aircraft make a turn.Forward traction effects the aircraft’s maximum turning ability,which is difficult to be modeled to guide the controller design.Deep reinforcement learning provides a powerful tool to help us design controllers for black-box models;however,the models of related works are always simplified,fixed,or not easily modified,but that is what we care about most.Only with complex models can the trained controller be intelligent.High-fidelity models that can easily modified are necessary for aircraft ground maneuver controller design.This paper focuses on the maneuvering problem of front-wheel drive aircraft,a high-fidelity aircraft taxiing dynamic model is established,including the 6-DOF airframe,landing gears,and nonlinear tire force model.A deep reinforcement learning based controller was designed to improve the maneuver performance of front-wheel drive aircraft.It is proved that in some conditions,the DRL based controller outperformed conventional look-ahead controllers.

关键词： Front-wheel drive aircraft Ground maneuver Nose wheel steering tire model Magic equation Deep reinforcement learning

Effect of tire Repeated Root Modal on tire modelling with Experimental Modal

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Journal of Beijing Institute of Technology 2017年第1期26卷 67-74页

作者： Zhenfeng Wang Yongchang Du Mingming Dong Liang Gu School of Mechanical Engineering Beijing Institute of Technology State Key Laboratory of Automotive Safety and Energy Tsinghua University

The effect of tire repeated root modal（RRM）on tire modeling with an experimental modal is studied.Firstly,a radial tire with radial and tangential RRMs is tested and analyzed.By multi-point exciting of the radial tire,a multiple reference frequency domain method based on a least squares（LMS PolyMAX）algorithm is used to identify modal parameters.Then,modal stability diagram（MSD）,modal indication function（MIF）and modal assurance criteria（Auto-MAC）matrix are utilized to induce multiple inputs multiple outputs（MIMO）frequency response function（FRF）matrixes.The tests reveal that notable repeated roots exist in both radial and tangential response modes.Their modal frequencies and damping factors are approximately the same,the amplitudes of modal vectors are in the same order of magnitude,and the mode shapes are orthogonal.Based on the works mentioned,the method of trigonometric series modal shapes fitting is adopted,the effects of RRM model on tire modeling with a vertical experimental modal are discussed.The final results show that the effects of considering the RRM shapes are equivalent to the tire mode shapes depended on rotating the tire’s different exciting points during tire modeling,and since considering the RRM,the tire mode shapes can be unified and fixed during tire modeling.

关键词： modal test repeated root modal ploy MAX method tire model

Investigation to Simulation of the Vehicle Ramp Traction Based On Numerical Calculation of tire

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Investigation to Simulation of the Vehicle Ramp Traction Bas...

2009中国控制与决策会议

作者： Tao Liu~1,Juan-juan Chen~1,You-shan Wang~2,Yue-ying Zhu~1 1.School of Automobile Engineering,Harbin Institute of Technology,Weihai,264209,China 2.Research institute of composite material and structure,Harbin Institute of Technology,Harbin,150080,China

In order to improve the practicality and accuracy of simulation on vehicle traction performance,the simulation models of tire on vehicle traction performance are built by using three-dimensional finite element analysis,and on this basis the traction performance characteristics on entire vehicle are discussed.Aiming at a four-wheel-drive vehicle,the mathematical models about the accelerated process are built,the dynamic simulations are carried out in Simulink simulation environment,and a comparative analysis with the simulation results on bilinear tire model is put up.The results of the analysis show that:it can effectively reflect the vehicle actual accelerated process by the simulation analysis of vehicle traction performance in which the tire models are built by the tire numerical calculation methods.Through the simulation analysis for accelerated process of the typical four-wheel-drive vehicle,the effectiveness of this method is verified.

关键词： Automotive engineering Traction performance Simulation tire model

A Study on the Mechanical Properties of tire in the High-speed Frontal Impact Condition

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A Study on the Mechanical Properties of Tire in the High-spe...

2018中国汽车工程学会年会

作者： YANG Fangxia CUI Taisong DIAN Bo WEI Bo StateKeyLaboratoryofVehicleNVHandSafetyTechnology ChanganAutoR&DCenter ChanganAutomobileCo.Ltd

The simulation accuracy of the tire model has an important effect on ensuring the simulation accuracy of the vehicle model in vehicle frontal crash simulation.A tire sub-model is set up based on the d

关键词： tire model mechanical properties high-speed frontal impact condition

Virtual Proving Ground Simulation in Practice for Vehicle Durability and Ride Comfort Performance

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Virtual Proving Ground Simulation in Practice for Vehicle Du...

2019中国汽车工程学会年会

作者： Shao Jian Zhou Yunping Wang Hua Zhou Shuai Jiang Zhongling Wang Wenjuan Changan Auto R＆D Center Changan Automobile Co.Ltd

A procedure of virtual proving ground simulation in practice for vehicle durability and ride performance is introduced in this paper.Digital road models including of durability and ride performance roads are created by a way of 3 D laser scanning on proving ground.Then a high-accuracy full vehicle multi-body dynamic model is built,using complete vehicle design parameters.Meanwhile,due to its well-known ability to deal with medium and high frequency dynamic problems,Ftire is incorporated in building the full vehicle model.Based on the road load data acquisition,driver control programs are developed to make the MBD model traveling with same track and speed as the test car,and then VPG simulation and validation are fulfilled.Comparing with test results,simulation results make a good prediction on wheel center forces,spring displacements,damper forces,and so on.Hence,the VPG simulation technology provides a powerful tool to meet the demand of vehicle durability and ride comfort analysis.

关键词： virtual proving ground road model tire model vehicle MBD model validation