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Related Concept Videos

Rolling Resistance01:21

Rolling Resistance

When a solid cylinder rolls steadily on a rigid surface, the normal force applied by the surface on the cylinder is perpendicular to the tangent at the contact point. However, since no materials are entirely rigid, the surface's reaction to the cylinder involves a range of normal pressures.
For instance, imagine a hard cylinder rolling on a comparatively soft surface. The cylinder's weight compresses the surface beneath it. As the cylinder moves, the material in front of it slows down due to...
Rolling Without Slipping01:09

Rolling Without Slipping

People have observed the rolling motion without slipping ever since the invention of the wheel. For example, one can look at the interaction between a car's tires and the surface of the road. If the driver presses the accelerator to the floor so that the tires spin without the car moving forward, there must be kinetic friction between the wheels and the road's surface. If the driver slowly presses the accelerator, causing the car to move forward, the tires roll without slipping. It is essential...
Dry Friction01:30

Dry Friction

Dry friction occurs between two solid surfaces in contact as they attempt to move relative to one another. In daily life, dry friction is encountered in various forms, such as when walking on the ground, sliding an object across a table, or rubbing hands together. Despite its ubiquity, the underlying mechanisms behind dry friction are not readily visible.
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Rolling With Slipping01:14

Rolling With Slipping

Rolling with slipping is a physical phenomenon that occurs when a rolling object experiences both rotational and linear motion but also experiences frictional forces that cause slipping. This phenomenon can occur in various situations, such as when a tire rolls on a wet road or a ball rolls on a rough surface.
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Logarithmic Differentiation01:28

Logarithmic Differentiation

When a car’s weight and driving forces act on a tire, they impose an external load on the rubber material. This load is resisted internally by forces distributed throughout the tire structure, which are defined as stress. The resulting deformation of the rubber due to this stress is quantified as strain. The relationship between stress and strain governs how the tire deforms under load and is central to understanding its mechanical response during operation.Rubber exhibits a nonlinear...
Characteristics of Dry Friction01:21

Characteristics of Dry Friction

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Determination of the Friction Coefficients of Icy Pavements Under Different Amounts of Snowfall
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Rubber friction and tire dynamics.

B N J Persson1

  • 1IFF, FZ-Jülich, D-52428 Jülich, Germany.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 17, 2011
PubMed
Summary
This summary is machine-generated.

A new rubber friction law enhances tire dynamics models. This validated model accurately predicts tire behavior during braking and cornering, improving vehicle control simulations.

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Area of Science:

  • Physics
  • Engineering
  • Materials Science

Background:

  • Accurate modeling of rubber friction is crucial for vehicle dynamics and tire performance.
  • Existing friction models may lack the necessary detail for complex maneuvers like combined braking and cornering.
  • The Persson 2006 rubber friction theory provides a comprehensive framework but can be computationally intensive.

Purpose of the Study:

  • To propose and validate a simplified rubber friction law suitable for tire dynamics models.
  • To develop a two-dimensional (2D) tire model integrating the new friction law with a mass-spring system.
  • To demonstrate the model's capability in calculating key performance metrics like μ-slip curves and self-aligning torque.

Main Methods:

  • Development of a novel, simplified rubber friction law.
  • Integration of the friction law into a 2D tire model incorporating mass-spring dynamics.
  • Numerical comparison of the proposed friction law against the established Persson (2006) rubber friction theory.
  • Simulation of vehicle maneuvers including braking, cornering, and combined motion.

Main Results:

  • The proposed rubber friction law shows good agreement with the full rubber friction theory.
  • The 2D tire model accurately calculates μ-slip curves and self-aligning torque for various driving conditions.
  • Simulations of anti-blocking system (ABS) braking using simple control algorithms were successfully performed.

Conclusions:

  • The simplified rubber friction law offers a computationally efficient yet accurate approach for tire modeling.
  • The developed 2D tire model is versatile and can be applied to analyze complex braking and cornering scenarios.
  • The model provides a valuable tool for understanding and simulating vehicle dynamics, particularly in relation to tire-road interaction and advanced braking systems.