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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Beli, D. [1] ; Mencik, J. -M. [2] ; Silva, P. B. [3] ; Arruda, J. R. F. [1]
Total Authors: 4
[1] State Univ Campinas UNICAMP, Sch Mech Engn, Dept Computat Mech, Rua Mendeleyev 200, Cidade Univ Zeferino Vaz, BR-13083860 Campinas, SP - Brazil
[2] Univ Tours, Univ Orleans, INSA Ctr Val Loire, Lab Mecan Gabriel Lame, 3 Rue Chocolaterie, F-41034 Blois - France
[3] Eindhoven Univ Technol, Dept Mech Engn, POB 513, NL-5600 MB Eindhoven - Netherlands
Total Affiliations: 3
Document type: Journal article
Source: COMPUTATIONAL MECHANICS; v. 62, n. 6, p. 1511-1528, DEC 2018.
Web of Science Citations: 0

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. (AU)

FAPESP's process: 10/17317-9 - Study of elastic wave propagation throught periodic media
Grantee:Priscilla Brandão Silva
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 13/23542-3 - Wave finite element based approaches for vibroacoustic analysis of fluid-filled structures
Grantee:Priscilla Brandão Silva
Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)
FAPESP's process: 14/19054-6 - Design of periodic structures with application to phononic crystals and acoustic metamaterials
Grantee:Danilo Beli
Support Opportunities: Scholarships in Brazil - Doctorate