The second harmonic and the validity of Duffing's equation for vibration of beams with large displacements

• Tipo: Artigo em Revista Científica Internacional
• Data: 2001

Autores

Pedro Leal Ribeiro (Autor) FEUP

Revista

Título: Computers and Structures

Vol. 79

Páginas: 107-117

ISSN: 0045-7949

Editora: Elsevier

Indexação

ISI Web of Knowledge - 12 Citações

Scopus - 15 Citações

Outras Informações

ID Authenticus: P-000-WZ6

DOI: 10.1016/s0045-7949(00)00060-2

Abstract (EN): Most analytical and numerical investigations on the transverse vibration of beams with large displacements only find odd harmonics in the response. However, experimental research indicates that the second harmonic is also present in the response and in this paper an explanation for this is sought. Two possibilities are explored. First, the in-plane inertia is not neglected and, therefore, the equations of motion have quadratic and cubic non-linearities, i.e., they are not equations of Duffing type. Secondly, small perturbations, characteristic of experimental work, are included in the excitation and the ensuing vibration is analysed.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11