Four-wheel vehicle kinematic and geometric constraints for definition of tire slip angle

Vieira, Rodrigo de Souza; Nicolazzi, Lauro Cesar; Roqueiro, Nestor

doi:10.1007/s12239-012-0053-0

Cited by 9 publications

(8 citation statements)

References 18 publications

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“…There are many different functions describing this dependence of ( ) today [17][18][19]. The best formula has the smallest number of empirical coefficients.…”

Section: The Elastic Properties Of the Wheel And Groundmentioning

confidence: 99%

Friction Forces at the Wheel's Contact with the Ground in a Turning Vehicle

Troyanovskaya¹,

Ulanov²,

Zhakov³

et al. 2019

Tribol. Ind.

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Tangential ground reactions are friction forces in their essence. Problems in the description of the frictional contact of the wheel with the ground arise during the curvilinear motion of a vehicle. There is a force and friction torque during rotational relative slip. The single physical essence of the friction force and the moment of friction determine their mutual interconnection. The authors of the article have developed a new mathematical model of the formation of forces in contact with the ground when a vehicle makes a turn. This model is based on the theory of friction for plane-parallel relative slip. The friction force and the frictional moment are integral functions of the coordinates of the instantaneous center of slip. Changing the limits of integration allowed us to take into account the shape and size of the contact. The introduction of normal pressure into the integral made it possible to take into account any law of its change. The use of different friction coefficients in the longitudinal and transverse directions made it possible to take into account the anisotropic properties of the contact. Variable friction coefficients allowed us to take into account the elastic properties of the wheel and the ground.

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“…There are many different functions describing this dependence of ( ) today [17][18][19]. The best formula has the smallest number of empirical coefficients.…”

Section: The Elastic Properties Of the Wheel And Groundmentioning

confidence: 99%

Friction Forces at the Wheel's Contact with the Ground in a Turning Vehicle

Troyanovskaya¹,

Ulanov²,

Zhakov³

et al. 2019

Tribol. Ind.

View full text Add to dashboard Cite

show abstract

“…In order to select appropriate tyre design, the automobile manufacturer has to select adequate tyre standard size including: tread width, percentage tread height, tyre radius, wheel diameter, load index and speed rating of the tyre. Additional criteria depending on significance to the design may include, cushioning, dampening, braking torque, rolling resistance, and expected life span [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Binary goal programming model for optimizing tire selection using branch and bound algorithm

Aly

2021

Int. J. Simul. Multidisci. Des. Optim.

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The problem of assessment and adoption of automotive tyre design specifications has not been addressed sufficiently in literature. This is in spite of its significance as a crucial component relevant to design and safety of the automobile. In this paper, a multi-objective optimization model of the tyre design trademark adoption decision is proposed. Multi-attribute or multi-criterion decision making techniques are heuristics providing good solution, but do not guarantee optimum solution. Up to date, there is no optimal yielding method for selection of vehicle tyre manufacturer or trademark based on prespecified design targets. The proposed model is formulated as a binary goal programming model for optimizing tyre trademark design selection decision by adopting an optimal tyre design trademark that best achieve design targets. The model is solved by the branch and bound algorithm. One advantage of the proposed model is flexibility to incorporate multiple design targets, tolerance limits and different constraints. The proposed model can support efficient and effective decision making concerning the adoption of tyre trademark design for new automobile or to re-adopt new design for new road vehicle operating conditions.

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“…Without reference to the model, Liu et al deduced the prediction algorithm of dynamic tire force error according to the criterion of minimum model error, and effectively updated the observation accuracy of the system [9]. Vieira et al adopted the kinematic model to propose a method to evaluate the side slip angle, which describes the constraint relationship between the sideslip angle and the steering angle [10]. Based on the dynamic model, Kim et al discussed the friction circle related to the vertical tire force and the road adhesion coefficient, so as to determine the relationship between the distribution of traction force and braking force and the friction circle [11].…”

Section: Introductionmentioning

confidence: 99%

State observation of nonlinear off-road vehicle system under complex maneuver condition

et al. 2020

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The information of vehicle attitude and tire force under complex environment and maneuver condition is of great significance for system risk prediction and active control system intervention. In order to collect the accurate system states, the coupling vehicle dynamics model and moving horizon estimation method are employed to solve the online optimization problem based on the premise of rolling optimization. Furthermore, the accurate observation and acquisition of the vehicle system state are realized. On this basis, the simulation process of the vehicle state observation using moving horizon estimation method and unscented Kalman filter algorithm are implemented, respectively. The corresponding observation results under complex maneuvering conditions are further validated by using the hardware-in-the-loop experimental platform. Finally, the comparison of the observation results obtained by the unscented Kalman filter and moving horizon estimation algorithms demonstrate that the moving horizon estimation method can effectively improve the observation accuracy of vehicle system state in complex environment, including vehicle roll angle and tire dynamic force. The results obtained through moving horizon estimation method are conducive to the further signal early warning, risk prediction and assessment, as well as systematic intervention and active rollover control.

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Four-wheel vehicle kinematic and geometric constraints for definition of tire slip angle

Cited by 9 publications

References 18 publications

Friction Forces at the Wheel's Contact with the Ground in a Turning Vehicle

Friction Forces at the Wheel's Contact with the Ground in a Turning Vehicle

Binary goal programming model for optimizing tire selection using branch and bound algorithm

State observation of nonlinear off-road vehicle system under complex maneuver condition

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