Baza Publikacji Pracowników Politechniki Lubelskiej

Status:
Autorzy:	Warmińska Anna, Monoach E., Warmiński Jerzy
Rok wydania:	2014
Wersja dokumentu:	Drukowana \| Elektroniczna
Język:	angielski
Numer czasopisma:	8
Wolumen/Tom:	49
Strony:	1775 - 1793
Impact Factor:	1,949
Web of Science® Times Cited:	15
Scopus® Cytowania:	21
Bazy:	Web of Science \| Scopus \| 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
	Large amplitude vibrations of a Timoshenko beam under an influence of temperature are analysed in this paper. In the considered model the temperature increases instantly and the heat is uniformly distributed along the beams length and cross-section. The mathematical model, represented by partial differential equations takes into account thermal and mechanical loadings. Next, the problem is reduced by means of the Galerkin method, considering the first three natural vibration modes of a simply supported beam in the both ends. The influence of the temperature on amplitudes and localisation of the resonance zones and stability of the solutions is studied numerically and analytically by the multiple time scale method. The bifurcation points, existence of unstable lobes and transition from regular to chaotic oscillations are shown.

Nonlinear dynamics of a reduced multimodal Timoshenko beam subjected to thermal and mechanical loadings