# Dynamic Analysis of an Aluminum Spur Gear pair

## Palavras-chave:

Gear Pair, Dynamic Model, Numerical Simulation## Resumo

Dynamical systems are those that show evolution with respect to time and are generally described by

ordinary differential equations with their respective initial conditions. However, the equations of motion obtained

are often difficult to solve analytically, which makes it necessary to use one of the methods of computational

numerical simulation. This work presents the dynamic modeling of a spur gears pair, considering the torque input

of an electric motor. The system is modeled analytically using Newton-Euler equations of motion resulting in a

system of equations with four degrees of freedom. The mathematical model results in an ordinary second-order

differential equation and is solved using the fourth and fifth order Runge Kutta methods, implemented in MATLAB

software; the parameters inertia, damping and gear stiffness are considered. Dynamic system simulations are

performed to observe the dynamic behavior in different scenarios. The results clearly show the differences obtained

between the transient and steady regimes and the short period of disturbance of the system.