Title:On the Choice of Shape Functions of Unsymmetrical Elastic RotorsAuthor(s):Herbert Parzer, Hubert Gattringer, Stefan HubingerAbstract:In this paper the effects of rotordynamics under the aspect of the choice of shape functions are discussed. For this purpose a rotor system which consists of a slim shaft and two rigid disks is modeled using the Projection Equation. The shaft is assumed as an elastic Euler–Bernoulli beam, supported by two bearings modeled as radial spring systems. The rotor is driven by a permanent-magnet synchronous motor whose torque is transmitted with a spur gear pair next to one of the bearings. A Ritzapproach is used to separate the elastic displacements in position and time, thereby different shape functions are evaluated. Approximated eigenfunctions are computed and used as shape functions as well. For validation, the eigenfrequencies are compared with semianalytical ones, calculated with the Transfer-Matrix-Method and experimental results. The insights obtained from this work should make it easier to choose the appropriate shape functions for such problems.Booktitle:Optimization of the Intelligent Systems and their Applications in Aerospace, Robotics, Mechanical Engineering, Manufacturing Systems, Biomechatronics and NeurorehabilitationPublisher:TRANS TECH PUBLICATIONSEditor(s):Adrian OlaruISBN:978-3-03785-733-5Page Reference:page 325-330, 594 page(s)Publishing:2013Series:Applied Mechanics and MaterialsVolume:332