Thermally induced vibration of an annular plate subjected to the oscillating heat stream

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

Abstrakty

EN

A solution of the problem of the thermally induced transverse vibration of an annular plate is presented. One assumes that the plate temperature changes by periodic oscillation of the heat stream in a ring region on one side of the plate. The axisymmetric temperature distribution in the plate is determined by the conductivity equation and corresponding initial and boundary conditions. The heat conduction problem in the plate and the problem of transverse vibration of the plate is solved by using the Green's function method.

Słowa kluczowe

EN

thermally induced vibration; annular plate; heat conduction

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 65--74
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Kidawa-Kukla J.

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

Bibliografia

• [1] Ignaczak J., Nowacki W., Transversal vibration of a plate, produced by heating, Archives deMecanique Appliquee 1961, XIII (5), 650-667.
• [2] Nakajo Y., Hayashi K., Response of simply supported and clamped circular plates to thermal impact, Journal of Sound and Vibration 1988, 122(2), 347-356.
• [3] Kidawa-Kukla J., Application of the Green’s function method to the problem of thermally induced vibration of a circular plate, Scientific Research of the Institute of Mathematics and Computer Science 2010, 1(9), 53-60.
• [4] Beck J.V. et al., Heat Conduction Using Green’s Functions, Hemisphere Publishing Corporation, London 1992.
• [5] Duffy D.G., Green’s Functions with Applications - Studies in Advanced Mathematics, Boca Raton, London, New York 2001.