Abstract
The pneumatic tire slip phenomena in vehicle driving system have been investigated for 100 years. Many models describe the tire –road force generation base on it, but in literature we can find various definition of slip. In this paper authors present the most known model of force generation and slip definitions and discuss consequences of choice of them. The model of force generation which is the combination of tire to road friction models and force carrying by deformable running elements which are getting and losing contact with road seems to be very simple and intuitive for process explanation. The implementation of the tire deformation model is the base for many models but is not easy to implement it into dynamic computer modelling of process. So for many years the most common models base on slip function. In paper the concept model is based on deformation introduced and its carry out balance is presented. This model has been adapted to other friction gears like belt gear or friction wheels modelling. The deformation model appears to be quite universal and developable to the energy efficiency analyses or acoustic wave generation.
Highlights
Friction joints and gears have been widely used for thousands of years
The friction that makes difficult the pulling of large stone blocks became an ally when wooden beams with a circular cross-section were inserted between the ground and the stone block
The uniform definition of slip for driving/propelling and pulled/braking wheel make the computer modelling very easy, especially when we focus only on linear in range of slip 〈−sD; sD〉
Summary
Friction joints and gears have been widely used for thousands of years. They can be found in Roman war machines as well as in tools reconstructions based on paintings or exponents found in the Egyptian pyramids. The second methodology of achieving mathematical equation is carried out in "shortcuts" by experiments, to collect a sufficiently large amount of data, in order to use statistical methods to find relationships between the quantities we take as input and the output quantities. This is how the so-called mathematical modelling is giving so called engineering formulas that allows us to make design calculations using simplified methods, without delving into the details of the process. The difference between calculation and experiment result inspire to physical model improving
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