Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
N-th Order Unified Formulation Model for Rotordynamics
Submission Author:
Vergílio Torezan Silingardi Del Claro , MG , Brazil
Co-Authors:
Vergílio Torezan Silingardi Del Claro, Aldemir Ap Cavalini Jr, Ilmar Santos, Valder Steffen Jr
Presenter: Vergílio Torezan Silingardi Del Claro
doi://10.26678/ABCM.COBEM2019.COB2019-1048
Abstract
The design of rotating machines greatly evolved in the last five decades, aided by advanced computational models, which are able to describe new material properties and the dynamic behavior of elements with complex geometry at high rotational speeds. To foster this field of research, a Unified Formulation Finite Element Model specifically developed for rotordynamics is presented. In a Unified Formulation numeric model, the number of degrees of freedom and the order and type of interpolation functions are arbitrary. The goal of this novel technique is to produce physically coherent results for rotating elements for any given geometry and intrinsic material properties, by using N-th order polynomial interpolations and M-th order beam elements. The model also represents any cross-section geometry and material, leading to a theoretically exact solution at the nodes. To keep the computation cost affordable, unimportant terms can be identified and neglected in the formulation, yielding precise results at a fraction of the time. In this publication, a proof of concept is carried out, by simulating a composite-shaft experimental test-rig with 1st, 2nd and 3rd order formulations, with 2 node beam elements. The theoretical analysis show good qualitative results, and an increasingly realistic dynamic behavior for higher order models.
Keywords
Unified Formulation, Rotordynamics, Finite Element Method
