Dynamic analyses of axisymmetric rotors through three-dimensional approaches and high-fidelity beam theories

[+] Author and Article Information
Matteo Filippi

Department of Mechanical and Aerospace Engineering Politecnico di Torino, Torino, Italy, 10129

Erasmo Carrera

Department of Mechanical and Aerospace Engineering Politecnico di Torino, Torino, Italy, 10129

1Corresponding author.

ASME doi:10.1115/1.4036927 History: Received February 23, 2017; Revised May 11, 2017


This paper evaluates the differences between two existing ways to derive the governing equations of axisymmetric rotors in an inertial frame of reference. According to the first approach, only a skew-symmetric gyroscopic matrix appears into the equations of motion. In the second approach, besides the gyroscopic term, a convective tensor is obtained from the kinetic energy expression. This contribution is proportional to the square of the rotational speed, and it modifies the elastic energy of the rotor. The weak form of the equations of motion has been solved using high-fidelity one-dimensional finite elements, which have been developed with the Carrera Unified Formulation (CUF). The fundamental nuclei of the gyroscopic and the convective matrices are presented in CUF form, for the first time. To highlight the differences between the two approaches, numerical simulations have been carried out on relatively simple rotor configurations, whose dynamic behaviors were already studied. The current results have been compared with the solutions presented in the literature to verify the correctness of the proposed formulation. For some structures, the results computed with the two approaches differ to a significant extent.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In