Application of the Green's function method to the problem of thermally induced vibration of a circular plate

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

Abstrakty

EN

The thermally induced vibration of a homogeneous thin circular plate is considered. The plate is subjected to the activity of the point heat source which moves with constant angular velocity on the plate surface along a concentric circular trajectory. The thermal moment is derived on the basis of temperature field in the plate. The solution of the vibration problem is obtained by using the Green's function method.

Słowa kluczowe

PL

funkcja Greena; drgania

EN

circular plate; Green's functions; vibration

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 53-60
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Kidawa-Kukla, J.

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

Bibliografia

• [1] Irie T., Yamada G., Thermally induced vibration of circular plate, Bulletin of the JSME 1978, 21, 162, 1703-1709.
• [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] Haider N. Arafat, Ali H. Nayfeh, Modal interactions in the vibrations of a heated annular plate, International Journal of Non-Linear Mechanics 2004, 39, 1671-1685.
• [4] Gaikwad M.N., Deshmukh K.C., Thermal deflection of an inverse thermoelastic problem in a thin isotropic circular plate, Applied Mathematical Modelling 2005, 29, 797-804.
• [5] Tauchert T.R., Ashida F., Sakata S., Takahashi Y., Control of temperature-induced plate vibrations based on speed feedback, Journal of Thermal Stresses 2006, 29, 585-606.
• [6] Kidawa-Kukla J., Temperature distribution in a circular plate heated by moving heat source, Scientific Research of the Institute of Mathematics and Computer Science, 2008, 1(8), 71-77.
• [7] Duffy D.G., Green’s Functions with Applications - Studies in Advanced Mathematics, Boca Raton, London, New York 2001.
• [8] Beck J.V. et al., Heat Conduction Using Green’s Functions, Hemisphere Publishing Corporation, London 1992.
• [9] http://mathworld.wolfram.com/MeijerG-Function.html