- Tytuł:
- Thermally induced vibration of a cantilever beam with periodically varying intensity of a heat source
- Autorzy:
- Kidawa-Kukla, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/122585.pdf
- Data publikacji:
- 2013
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
heat conduction
beam vibration
Green's functions - Opis:
- In this paper an exact solution to the problem of the thermally induced vibration of a cantilever beam is presented. It is assumed that on a part of the beam the surface acts as a periodically time-varying heat source. The changing of the beam temperature produces thermal stresses, which cause displacements of the beam. The vibration of the beam is governed by the Bernoulli-Euler equation which includes the variable thermal moment. The heat equation and the vibration problem are solved by using the Green’s function method. The symbolic software Mathematica has been used to obtain the solution of the problem in an analytical form.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 59-65
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł