Dynamic Analysis of an Aluminum Spur Gear pair

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.