Torsional Vibrations - Modeling and Analysis (Part 1)
This series covers the fundamentals of torsional vibrations, including the derivation of equations of motion and the use of Python for modeling and analysis. The application is specific to gearbox testing bench setups.
Introduction
The subject of torsional vibrations is crucial in the design and analysis of rotating machinery, particularly in applications such as gearboxes. This stems from the fact that the rotating components in these systems (e.g., shafts) transmit power under twisting conditions due to their finite stiffness; thus, variations in the transmitted power may lead to torsional vibrations given by the coiling-uncoiling behavior of the shafts. In this series, the aim is to provide a comprehensive overview of torsional vibrations, including the derivation of equations of motion and the use of Python for modeling and analysis. Along the way, we will build our own solver for the equations of motion, which will allow us to simulate the system’s response under various conditions and to gain insights into the dynamics of torsional vibrations in the context of gearbox testing bench setups.
