Even harmonics on the steady-state geometrical non-linear forced vibration of beams

• Type: Article in International Conference Proceedings Book
• Date: 2000

Authors

Pedro Leal Ribeiro (Author) FEUP

Conference proceedings International

Title: Proceedings of the 7th International Conference - Structural Dynamics: Recent Advances

Pages: 365-378

7th International Conference - Structural Dynamics: Recent Advances

Southampton, England, 24 - JULHO - 2000

Indexing

ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: P-001-28K

Abstract (EN): Most analytical and numerical investigations on the transverse vibration of beams with large displacements, and subjected to transverse harmonic forces, only find odd harmonics in the response. However, experimental research indicates that the second harmonic is also excited and in this paper an explanation for its excitation is sought. Two possibilities are explored. The first is to consider the longitudinal inertia, usually neglected, and, therefore, quadratic and cubic non-linearities will coexist in the equations of motion. The second, is to add small perturbations, characteristic of experimental work, to the harmonic excitation and analyse the ensuing vibration.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14