Thermally induced vibration of a cantilever beam with periodically varying intensity of a heat source

• Autorzy: Kidawa-Kukla J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

heat conduction; beam vibration; Green's functions

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 4
• Strony: 59--65
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Kidawa-Kukla J.

• Institute of Mechanics and Machine Design, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Yu Y-Y., Thermally induced vibration and flutter of a flexible boom, Journal of Spacecraft and Rockets 1969, 6, 902-910.
• [2] Kidawa-Kukla J., Vibration of a beam induced by harmonic motion of a heat source, Journal of Sound and Vibration 1997, 205, 213-222.
• [3] Beck J.V. et al., Heat Conduction Using Green’s Functions, Hemisphere Publishing Corporation, London 1992.
• [4] Kidawa-Kukla J., Application of the Green functions to the problem of the thermally induced vibration of a beam, Journal of Sound and Vibration 2003, 262, 865-876.
• [5] Duffy D.G., Green’s Functions with Applications - Studies in Advanced Mathematics, Boca Raton, London, New York 2001.