Application of integral transformations to analytical solution of non-stationary states of stress

• Autorzy: Adamek, V. , Vales, F. , Las, V.
• Konferencja: Applied Mechanics 2003, Gliwice, Polska
• Języki publikacji: EN

Abstrakty

EN

This work concerns the application of integral transformations U> (fie analytical solution of non-stationary state of stress in a thin homogenous isotropic viscoelastic plate. Owing to the axial symmetry of applied loading and the infinite geometry of the plate, the problem is solved as an axisymmetric one 'md the cylindrical spatial coordinates are used. The theory of thin plates with -1cral corrections is used during the derivation of motion eąuations. After that, the system of two dependent partial integrodifferential equations of the second oidcr is solved using the Laplace and Hankel transformation in the time and spatial domain, respectively. The transforms of unknown functions representing deflection and deflection angle are obtained.

Słowa kluczowe

EN

integral transformations; non-stationary states

• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2003
• Tom: z. 21
• Strony: 7-12
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Adamek, V.

• Department of Mechanics, FAS, West Bohemia University in Pilsen, 306 14 Pilsen,

autor

Vales, F.

• Institute of Thermomechanics, AS CR

autor

Las, V.

• Department of Mechanics, FAS, West Bohemia University in Pilsen, 306 14 Pilsen

Bibliografia

• [1] Adámek V.: Non-stationary stress waves propagation in a thin viscoelastic plate. Written work to the Ph. D. examination. Pilsen: UWB FAS, 2002 (in Czech).
• [2] Patek J.: Stress analysis of transverse non-stationary loaded thin plate. Written work to the Ph. D. examination. Pilsen: UWB FAS and CSAS, 1992 (in Czech).
• [3] Sobotka Z.: Rheology of materials and constructions. Prague: Academia, 1981 (in Czech)
• [4] Valeš F., Červ J.: Review of motion equations derivation of a thin plate - correction and disperse behaviour. Research report Z 930/85. Prague: IT CSAS, 1985 (in Czech).