 # Mathematical modeling analysis of the friction heating process of resin substance

Authors
Gou Ge
Corresponding Author
Gou Ge
Available Online April 2015.
DOI
https://doi.org/10.2991/amcce-15.2015.214How to use a DOI?
Keywords
resin substance; friction heating; mathematical modeling
Abstract
The resin is d for vehicle brake, in order to avoid the safety problems because of the significant temperature rise caused by the resin substance friction effect, the process of friction heating resin substance is made mathematical modeling analysis. Through the strengthen Lagrange algorithm obtain the accurate Lagrange multipliers, that is the contact force, to complete correction iterative operation of penalty function. Through the Hertz theory, it can obtain the pressure distribution of the contact spot bearing. The problem of resin substance friction heating is converted into a two-dimensional problem. According to the law of conservation of energy, the formula of resin substance friction heating can be obtained. The temperature distribution of resin substance in the start moment in the non-steady heat conduction process is studied, and the first boundary condition and third boundary condition are analyzed. Using direct coupling method solve the problem of resin substance friction heating, and the generated total flow rate and the heat flow rate of contact surface as well as the heat flow rate of one side of two resin substances because of friction can be calculated. The heat flow rate of flow into and out are effected in the micro element, and the computational domain is discretized. The temperature change is substituted into the equivalent integral equation of differential equation, obtaining integrated general equation in matrix form. Simulation results show that the proposed mathematical modeling process had high reliability.
Open Access

TY  - CONF
AU  - Gou Ge
PY  - 2015/04
DA  - 2015/04
TI  - Mathematical modeling analysis of the friction heating process of resin substance
BT  - Proceedings of the 2015 International Conference on Automation, Mechanical Control and Computational Engineering
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/amcce-15.2015.214
DO  - https://doi.org/10.2991/amcce-15.2015.214
ID  - Ge2015/04
ER  -
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