Computational Platform for the Analysis and Simulation of Rotor-Bearing Systems of Multiple Degrees of Freedom

In this paper, we present the development of a computational platform for the analysis and simulation of rotor-bearing systems of multiple degrees of freedom. The computational platform was programmed using the Matlab commercial software, and is supported by the mathematical formulation based on the finite element method for the modeling of rotodynamic systems. For the above, a beam type finite element was considered with four degrees of freedom per node, rotational inertia effects, gyroscopic moments, shear deformations and external damping. The purpose of the computational platform is to solve the general equation of motion of the rotor-bearing system using the solution methods: direct and Newmark. The solution through the direct method allows to know information of the system such as: natural frequencies, Campbell diagram, modal shapes and the vibration response of the system in steady state. On the other hand, the vibrational response as a function of time is obtained numerically using the Newmark method. The validation of the computational platform was done by comparing the results obtained with results reported in the literature, as well as with experimental data.