Forced Large Amplitude Periodic Vibrations of Cylindrical Shallow Shells

• Tipo: Artigo em Revista Científica Internacional
• Data: 2008

Autores

P. Ribeiro (Autor) FEUP

Revista

Título: Finite Elements in Analysis and Design

Vol. 44

Páginas: 657-674

ISSN: 0168-874X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 13 Citações

ISI Web of Science

Scopus - 15 Citações

INSPEC

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica > Engenharia da vibração

Outras Informações

ID Authenticus: P-003-Y11

DOI: 10.1016/j.finel.2008.03.002

Abstract (EN): Forced, large amplitude, periodic vibrations of open, linear elastic and isotropic, cylindrical shells are studied. A p-version finite element, which is derived following first-order shear deformation theory, is employed to define the model and an algorithm based on the shooting and Newton methods is used to solve the equations of motion. The influences that the amplitude and spatial distribution of the external excitation, the curvature to width ratio and the shell's thickness have on the dynamic response are investigated. To characterize the geometrically non-linear oscillations time plots, phase planes and Fourier spectra are employed. To characterize the stability of the solutions the Floquet multipliers are computed. Responses with even and odd harmonics to purely harmonic excitations and strong modal interactions due to the non-linearity of the system are found. The methods proposed constitute a good alternative to analyse geometrically non-linear periodic vibrations of shells because the number of approximations is reduced and the computational cost is, although significant, reasonable.

Idioma: Inglês

Tipo (Avaliação Docente): Científica