A projection-based model reduction strategy for the wave and vibration analysis of rotating periodic structures

D. Beli, J.M. Mencik, P.B. Silva, J.R.F. Arruda

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Abstract

The wave finite element method has proved to be an efficient and accurate numerical tool to perform the free and forced vibration analysis of linear reciprocal periodic structures, i.e. those conforming to symmetrical wave fields. In this paper, its use is extended to the analysis of rotating periodic structures, which, due to the gyroscopic effect, exhibit asymmetric wave propagation. A projection-based strategy which uses reduced symplectic wave basis is employed, which provides a well-conditioned eigenproblem for computing waves in rotating periodic structures. The proposed formulation is applied to the free and forced response analysis of homogeneous, multi-layered and phononic ring structures. In all test cases, the following features are highlighted: well-conditioned dispersion diagrams, good accuracy, and low computational time. The proposed strategy is particularly convenient in the simulation of rotating structures when parametric analysis for several rotational speeds is usually required, e.g. for calculating Campbell diagrams. This provides an efficient and flexible framework for the analysis of rotordynamic problems.

Original languageEnglish
Pages (from-to)1511-1528
JournalComputational Mechanics
Volume62
Issue number6
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

  • Asymmetrical wave propagation
  • Campbell diagram
  • Gyroscopic effect
  • Model reduction
  • Wave finite element method

Fingerprint

Dive into the research topics of 'A projection-based model reduction strategy for the wave and vibration analysis of rotating periodic structures'. Together they form a unique fingerprint.

Cite this