Frequency domain analysis of geometrically nonlinear vibrations of 3D beams

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2004

Autores

P. Ribeiro (Autor) FEUP; R. Lopes Alonso (Autor) FEUP

Ata de Conferência Internacional

Título: Seventh International Conference on Computational Structures Technology

Páginas: 1-17

Seventh International Conference on Computational Structures Technology

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

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

Outras Informações

Abstract (EN): A beam, p-version, hierarchical finite element is employed to study the dynamic behaviour of beams undergoing longitudinal, torsional, and bending free vibrations in any plane. Clamped-clamped, isotropic and elastic beams of circular cross section are analysed. The geometrical non-linearity is taken into account by considering a simplified version of Green¿s strain tensor. The mass and stiffness matrices are derived by the principle of the virtual work, and the harmonic balance method is employed to map the equations of motion to the frequency domain. The ensuing algebraic non-linear system is solved by a continuation method. Assuming a Fourier series where the constant term and the first three harmonics are considered, one concludes that internal resonances appear in bending and torsion.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17