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

Autor(es)

Beli, D. ^[1] ; Mencik, J. -M. ^[2] ; Silva, P. B. ^[3] ; Arruda, J. R. F. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMPUTATIONAL MECHANICS; v. 62, n. 6, p. 1511-1528, DEC 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 10/17317-9 - Estudo da propagação de ondas elásticas em estruturas periódicas
• Beneficiário: Priscilla Brandão Silva
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto
• Processo FAPESP: 13/23542-3 - Métodos numéricos baseados em elementos finitos ondulatórios para análise vibroacústica de estruturas contendo fluido
• Beneficiário: Priscilla Brandão Silva
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado Direto
• Processo FAPESP: 14/19054-6 - Modelagem de estruturas periódicas com aplicações a cristais fonônicos e metamateriais acústicos
• Beneficiário: Danilo Beli
• Modalidade de apoio: Bolsas no Brasil - Doutorado