Using the kinematic radius in the mechanics of elastic wheel rolling

2021 ◽  
pp. 13-22
Author(s):  
V.I. Kopotilov

As you know, in the mechanics of a wheel with an elastic tire, both dynamic (rd) and kinematic (rk) radius are widely used. At the same time, specialists in the theory of the motion of wheeled vehicles still do not have a clear understanding of the scope of their application. Keywords: elastic wheel, kinematic radius, circumferential force, dynamic radius, wheel traction force, instantaneous center of speeds, torque, solid, rolling resistance

2021 ◽  
pp. 17-27
Author(s):  
V.I. Kopotilov

The analysis of the physical essence of the kinematic and dynamic radii of the wheel is given. It is stated that the rolling radius of the wheel is a conditional kinematic parameter that characterizes only the rolling mode of the wheel. It is not the shoulder of all longitudinal forces acting on the wheel and should not be used to determine tractive forces, rolling resistance and wheel braking forces. Specific examples are given to illustrate the inappropriateness of using the kinematic radius to determine forces and moments. Keywords: elastic wheel, rolling radius, kinematic radius, dynamic radius, arm of force, traction force, rolling resistance force, braking force, rolling mode


2021 ◽  
Vol 341 ◽  
pp. 00039
Author(s):  
Maria Karelina ◽  
Tatyana Balabina ◽  
Alexey Mamaev

Evaluation of the rolling resistance of car tires is now often performed on drum stands like car tests. This necessitates the study of the mechanics of interaction between the wheel and the drum in order to determine its force and kinematic characteristics, including the values and points of application of tangential and normal forces in contact with the drum. These problems can be solved taking into account that the mechanics of elastic wheel rolling on a drum is the same as when rolling on a flat rigid support surface. In this paper, from consideration of the mechanics of interaction between an elastic wheel and a drum, using the equations of power balance and force equilibrium of the wheel, the equations for determining the point of normal reaction in contact and its arm relative to the wheel axis during its rolling along one and two drums have been derived.. These dependencies have a simple form and can be applied when considering the rolling of both a single wheel and the car as a whole on a drum stand.


Transport ◽  
2008 ◽  
Vol 23 (1) ◽  
pp. 37-43 ◽  
Author(s):  
Antanas Juostas ◽  
Algirdas Janulevičius

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.


Author(s):  
Alexandru TURCANU ◽  
Leonard-Călin-Valentin DOBRE

This paper aims to present to readers concrete mathematical models, transposed into simulation schemes, to calculate the forces acting on a car at its interaction with the road and the atmosphere, to properly size the electric motor and batteries of an electric car. For the calculation of these forces, a table with predefined values ​​such as vehicle mass, rolling resistance coefficient, gear ratio, wheel radius, was used throughout the work. In the second section of the paper, the values ​​of the resistance forces that oppose the movement of the vehicle and the traction force necessary to overcome these resistive forces were determined. The mathematical calculation model was compiled in Matlab and the graphs in figures 3-9 were obtained.


2021 ◽  
Vol 31 (1) ◽  
pp. 143-160
Author(s):  
Vladimir F. Kupryashkin ◽  
Aleksandr S. Ulanov ◽  
Michail G. Shlyapnikov ◽  
Aleksandr Yu. Gusev ◽  
Vladimir I. Slavkin

Introduction. Farmers make extensive use of two-wheel tractors equipped with traction and drive interchangeable units. Two-wheel tractors are required to move evenly with minimal slip of the drive wheels on the soil. The tractive force on the drive wheels of the tillage unit is the decisive power factor in this case. An objective traction force value can be measured only by carrying out experimental studies. Materials and Methods. To determine the traction force on the drive wheels of the twowheel tractor, the design of the experimental stand was proposed and substantiated (RF patent for useful model No. 188610 “Movable module of the test stand”), and a methodology for planning and conducting a multifactor experiment to determine the traction force was developed. Results. As a result of the laboratory tests the calculation dependencies of the tractive force on the drive wheels of the Neva MB23-MultiAGRO Pro two-wheel tractor were obtained. Soil conditions, design and technological parameters, operating modes of the two-wheel tractor, and rolling resistance forces were taken into account. Discussion and Conclusion. The use of the developed regression models of the traction force under the condition of ensuring uniform movement with the minimum permissible slipping of the driving wheels of the two-wheel tractor on the soil will allow obtaining the permissible values of the two-tractor motion speed and form the zones of its most effective functioning.


2020 ◽  
Vol 14 (4) ◽  
pp. 59-63
Author(s):  
Vladimir Kupryashkin ◽  
Mihail Shlyapnikov ◽  
Mihail Chatkin ◽  
Sergey Glotov ◽  
Vladimir Kupryashkin ◽  
...  

When performing the technological process of soil cultivation, a self-propelled rotary tiller moves due to the adhesion force of the drive wheels to the soil. Engine power is spent on overcoming rolling resistance of driving wheels, friction of the support slide on the soil and resistance to soil cutting by active working elements, and part of the power is lost in the transmission. Given the specific features of the functioning of a self-propelled small-sized rotary tiller with a vertical axis of rotation of active working units, namely its traction-drive nature of work, the equation for traction balance is a condition ensuring its uniform movement. When moving around the field of a self-propelled rotary tiller between the drive wheels and the soil, an FTK traction force arises, which is aimed at overcoming the drag forces when rolling the drive wheels FCK and overcoming the friction force Ffп of the support runner with the soil. In the process of tillage with rotor knives, forces arise, Fy1(Fy2), Fx1(Fx2). The force of gravity Fgм applied at the center of gravity also acts on the tillage aggregate, which can be decomposed into components: gravity Fgк,attributable to the drive wheels and gravity Fgф attributable to the rotary tiller. Based on the analysis of the forces acting on a self-propelled small-sized rotary tiller with a vertical axis of rotation of active working elements, the condition for uneven movement (stability of movement) is made. The solution of the equation regarding the number of rotors allows us to obtain the dependence of their optimal number on the design parameters of the cutter, operating conditions and soil conditions.


Author(s):  
Volodymyr Sakhno ◽  
Viktor Poljakov ◽  
E. Misko ◽  
Oleg Omelnytsky

Analysis of the issues of stability and dynamics of wheeled vehicles moving along a special overpass indicates an extremely limited information resource. The vast majority of works are devoted to issues of vertical dynamics, but the issue of transverse dynamics and transverse force interaction of the guide module with the overpass is insufficiently covered. Also, the question of the use of one or another model of tire retraction when modeling the movement of an elastic wheel and practical recommendations for choosing the size of the bearing and guide wheels depending on the nature and magnitude of the dynamic loads providing the necessary level of safety and comfort remain little covered. Further research will be devoted to resolving these issues. Keywords: metrobus, motion equations, maneuverability, stability, layout, trailer, semi-trailer, BRT system.


ROTOR ◽  
2017 ◽  
Vol 10 (1) ◽  
pp. 51
Author(s):  
Aditya Krisna Hutomo ◽  
Dedy Dwi Laksana ◽  
Fx. Kristianta

Rolling Resistance is a resistance to the wheels that will and have been rolling due to the force of friction between the wheels with the road surface of the wheel. Rolling resistance is influenced by four factors, that is vehicle weight, road surface, transmission, and tires. This study usefull to determine the influence of tread pattern surface to force and coefficient rolling resistance, tire surface contact area and tire pressure value. In this study using motorcycle tires with size 90/90-17. The tire used is a tire with RIB tread pattern (straight groove) and LUG tread pattern (zig-zag groove). Each type of RIB and LUG tread pattern used each of two tires that is the type of simple tread pattern and the complex tread pattern. From the results of the study showed that the tire with a simple tread pattern will produce a small force of rolling resistance but will result in a larger surface tire surface contact than the tire with the complex tread pattenr. While for the tire with the type complex tread pattern has a greater pressure value that will produce a great rolling resistance force. For tires get the best rolling resistance force is the tire with a simple LUG tread pattern of 10.234 N and followed by a tire with a simple RIB tread pattern type of 10.563 N. Keywords: tread pattern, rolling resistance, rib, lug.


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