A Bond Graph Approach to Rotor Dynamics

摘要

Rotor dynamic modeling using the bond graph approach has not been discussed in great detail in the literature although some few references can be found. The standard rotor dynamic models, implemented using the finite element method, are also most often presented as stationary rotational speed versions. Rotor transient models which enables the analysis of spin-up and stopping operations are not as extensively investigated. In this paper a continuous shaft-disc system is modeled as a rotating Euler-Bernoulli beam supported by flexible bearing supports. The continuous shaft-disc system with imbalances is described with kinetic and potential energies which includes translational and rotatory inertia and also gyroscopic coupling. The shaft model developed here is based on the finite-mode approach for representing distributed systems and this is combined with more standard rigid body disc model to form a complete rotor model. The equations of motion are derived using a Lagrange approach and the model is presented as a bond graph model. Simulation examples are included for simple rotor configurations demonstrating both the Jeffcott and Stodola-Green rotor phenomena together with more complex rotor dynamics features.