Linear modal analysis of l-shaped beam structures - parametric studies
Artykuł w czasopiśmie
Status: | |
Autorzy: | Georgiades Fotios, Warmiński Jerzy, Cartmell Matthew P. |
Rok wydania: | 2012 |
Wersja dokumentu: | Drukowana | Elektroniczna |
Język: | angielski |
Numer czasopisma: | 1 |
Wolumen/Tom: | 382 |
Numer artykułu: | 12006 |
Strony: | 1 - 6 |
Web of Science® Times Cited: | 2 |
Scopus® Cytowania: | 4 |
Bazy: | Web of Science | Scopus |
Efekt badań statutowych | NIE |
Materiał konferencyjny: | NIE |
Publikacja OA: | TAK |
Licencja: | |
Sposób udostępnienia: | Witryna wydawcy |
Wersja tekstu: | Ostateczna wersja opublikowana |
Czas opublikowania: | W momencie opublikowania |
Abstrakty: | angielski |
Linear modal analysis of L-shaped beam structures indicates that there are two independent motions, these are in-plane bending and out of plane motions including bending and torsion. Natural frequencies of the structure can be determined by finding the roots of two transcendental equations which correspond to in-plane and out-of-plane motions. Due to the complexity of the equations of motion the natural frequencies cannot be determined explicitly. In this article we nondimensionalise the equations of motion in the space and time domains, and then we solve the transcendental equations for selected values of the L-shaped beam parameters in order to determine their natural frequencies. We use a numerical continuation scheme to perform the parametric solutions of the considered transcendental equations. Using plots of the solutions we can determine the natural frequencies for a specific L-shape beam configuration. |