Non-Linear Vibration Modes of Plates and Shells

• Tipo: Capítulo ou Parte de Livro
• Data: 2006

Autores

P. Ribeiro (Autor) FEUP

Livro

Título: Innovation in Computational Structures Technology

Páginas: 349-370

ISBN: 1-874672-27-X

Editora: Saxe-Coburg Publications

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica

Outras Informações

DOI: 10.4203/csets.14.17

Abstract (EN): A review on free vibrations of plates and shallow shells is carried out and the concept of non-linear mode of vibration discussed. Using the p-version of the finite element method, equations of motion for free, geometrically non-linear vibrations of plates and shells are obtained. These equations are transferred into the frequency domain by the harmonic balance method, using a truncated Fourier series with the constant term and three harmonics. Non-linear modes of vibration of plates and shells are computed. The variation of the non-linear mode shapes with the vibration amplitude and of the non-linear natural frequencies is shown in two examples. Internal resonances are found.

Idioma: Inglês

Tipo (Avaliação Docente): Científica