Dynamics of a Motor Vehicle Taking Into Consideration the Interaction of Wheels and Road Pavement Surface

Prentkovskis, Olegas; Bogdevičius, Marijonas

doi:10.3846/16483840.2002.10414052

Cited by 9 publications

(11 citation statements)

References 3 publications

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“…The study of literature on the problem [3][4][5][6][7][8][9][10] has shown that to develop a mathematical model of the process considered, some assumptions have to be made, allowing for the comparison of vehicle vibrations. The task is to compare the vibrations occurring in emergency braking with those found when a vehicle is in the mode of uniform translation.…”

Section: Major Assumptions and Constraintsmentioning

confidence: 99%

“…This follows from a physical meaning of braking, implying that when the brakes are applied, y 1 = y 2 = 0 , the force of inertia and the equivalent force couple r immediately come into play. Based on the above statement, the equality (2) may be written in the following way for any moment after braking the wheels: (9) here: PN 1 2 -instantaneous values of normal forces during the' contact of the wheels and pavement, Yn 1 2maximum normal tyre deformations, y stl,2-tyre deformations for the vehicle in static equilibrium on a horizontal road. Thus the force r , being a violating factor in the differentiation equations, is expressed in terms of the instantaneous value deviation of the nonnal deformations oftyres from the constant level corresponding to the static load.…”

Section: Q~mentioning

confidence: 99%

“…The second peculiarity found in the analytical description of the formation of the forces r refers to the instantaneous addition of the statistical component to the obtained expression (9). In order to give the analytical description of the above phenomenon it is necessary to match the beginning of time counting with the time of initial braking, using the Heaviside unit function 8 0 (t), expressing a single jump: Then, multiplying the above function by the static component of the braking force and determining that in braking y 1 and y 2 become the time functions due to the occurring mass vibration of the system, the forces r may also be expressed for any moment of time in this form:…”

Section: Q~mentioning

confidence: 99%

See 2 more Smart Citations

A Mathematical Model of the Vibrating System Equivalent to the Vehicle in the Mode of Emergency Braking

2003

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A mathematical model of the vibrating system equivalent to the vehicle in the mode of emergency braking is developed and the solution is offered. The problem associated with the comparison of the vibrations of the braking vehicle with the oscillations of a uniformly translating vehicle is considered. On the basis of the analysis of the available research data some assumptions and constraints are introduced, allowing the vibrating system equivalent to the condition of the vehicle in the mode of emergency braking to be developed. The system obtained differs from the data found in the theory of the vehicle in the description of the applied tangential forces caused by the force of inertia applied to the center of gravity. Based on the equivalent system developed, the differential equations describing the displacements of masses of the above system are derived and solved. Keywords: mathematical model; dynamics of the vehicle; equivalent vibrating system; flexible mounted and inflexible mounted vehicle masses; normal deformation; static equilibrium; deceleration; the moment of the tangential force.

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Section: Major Assumptions and Constraintsmentioning

confidence: 99%

Section: Q~mentioning

confidence: 99%

Section: Q~mentioning

confidence: 99%

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A Mathematical Model of the Vibrating System Equivalent to the Vehicle in the Mode of Emergency Braking

2003

Self Cite

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“…In order to establish the mathematical equations from the physical models of the multi-body systems, there were many methods for establishing the equations describing the motion of the system, such as Euler-Lagrange and D'Alembert's principle [1,2], Newton-Euler equations [3], Hamilton's principle, Jourdain's principle combines with multi-body system theories [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…In the study of the automobile vibrations, two main methods were used including (1) using Adams, CATIA softwares to establish 3D models, the models were then simulated and analyzed the objectives via ANSYS or Matlab software [3,6], and (2) from an actual automotive, establishing the physical model, the vibration equations were then established based on D'Alembert's principle or Newton-Euler equations. Matlab/Simulink software was used to calculate the objectives [2,7]. However, the second method was almost applied for study the automotive vibrations due to the efficiency of method for analyzing nonlinear models.…”

Section: Introductionmentioning

confidence: 99%

A modified technique for studying the automotive vibrations based on Jourdain’s principle

Nguyen¹,

Le²,

Jiao³

2019

Vib. proced.

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This study proposes a combined method of the multi-body system theory and the Jourdain's principle to study the automotive vibration. A 3D dynamic model of the automotive is built based on the multi-body system theory, the vibration equations are described based on two methods including a method of the Jourdain's principle and the traditional method of the Newton-Euler's principle. Matlab/Simulink software is used to solve the vibration equations under the excitation of the step road. The results show that the acceleration responses of the vertical, pitch and roll vibrations of the vehicle's body with the Jourdain's method are similarly in comparison with the traditional method. Therefore, the Jourdain's method not only is applied for studying the kinetic and dynamic model of multi-body systems but also can be applied for studying the automotive vibration. Especially, nonlinear properties of objects in the vibration model can be clearly described by the Jourdain's method via the recursive Jacobian matrices.

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Investigation of Tractor Engine Power and Economical Working Conditions Utilization During Transport Operation

Juostas¹,

Janulevičius²

2008

Transport

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Article analyzes tractor working and its engine conditions from economical point of view. Overview of tractor wheel slippage reliance on the traction force and weight utilization coefficient is given. Tractor maximum driving force according to road and field conditions, and driving speed are submitted. Literature and theoretical investigation analysis is done, where interaction between tractor wheels made‐up driving force and grip is analysed. Driving speed and driving force dependence on rolling resistance and total aggregate weight using nominal power is described. In the present experimental research reduction in fuel consumption of tractor transport aggregate by reducing engine speed and by keeping the same work speed, was determined.

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Dynamics of a Motor Vehicle Taking Into Consideration the Interaction of Wheels and Road Pavement Surface

Cited by 9 publications

References 3 publications

A Mathematical Model of the Vibrating System Equivalent to the Vehicle in the Mode of Emergency Braking

A Mathematical Model of the Vibrating System Equivalent to the Vehicle in the Mode of Emergency Braking

A modified technique for studying the automotive vibrations based on Jourdain’s principle

Investigation of Tractor Engine Power and Economical Working Conditions Utilization During Transport Operation

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