Rotordynamic modeling using bond graphs modeling the Jeffcott rotor

Visualizing the complex and counterintuitive phenomenology associated with rotordynamics has been problematic since Rankine first scientifically studied it in the early 1900s. To address this, a simple model capable of allowing visualization of the parameters and problematic aspects associated with an imbalanced rotor (Jeffcott rotor) will be proposed using bond graphs, which provide a structured and unified method for modeling a large class of nonlinear, multienergetic systems. The purpose of this paper is to provide a high-fidelity, experimentally proven bond graph model of the Jeffcott rotor to aid in the design and analysis of high-speed rotational machinery often associated with pulsed energy systems. The intent of the model is the ability to use it as a modular and foundational piece in more complex rotordynamic models.