Simulation of Dynamic Pinion Course using Runge-Kutta's Method and Impact Modeling

Breno Raizer; Omar del Corsso Jr.; André Rafael Corvini; André Galhardo; Marcelo Gennari Tanikawa; Alfredo Dimas Catini

doi:10.4271/2011-36-0177

Once defined the relationship between the Starter Motor components and their functions, it is possible to develop a mathematical model capable to predict the Starter behavior during operation. One important aspect is the engagement system behavior. The development of a mathematical tool capable of predicting it is a valuable step in order to reduce the design time, cost and engineering efforts. A mathematical model, represented by differential equations, can be developed using physics laws, evaluating force balance and energy flow through the systems degrees of freedom. Another important physical aspect to be considered in this modeling is the impact conditions (particularly on the pinion and ring-gear contact).

This work is a report of those equations application on available mathematical software and the resolution of those equations by Runge-Kutta's numerical integration method, in order to build an accessible engineering tool.

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Simulation of Dynamic Pinion Course using Runge-Kutta's Method and Impact Modeling 2011-36-0177

SAE MOBILUS