Proceedings Vol. 18 (2012)
ENGINEERING MECHANICS 2012
May 14 – 17, 2012, Svratka, Czech Republic
Copyright © 2012 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 1195 - 1200, full text
The mathematical model of a circular plate according to Kirchhoff’s theory contains classical derivatives of internal forces, moments, slopes of a middle surface and deflection. However these derivatives are not defined at such internal points of middle plane where a line lateral loading, a line moment loading, a line support, or a rotational coupling between plate segments is situated. We have used the distributional derivatives for the unknown discontinuous functions, and developed a generalized mathematical model in the form of a system of ordinary differential equations in order that the mathematical model of the circular plate subjected to axisymmetric loading may be valid also along the lines of discontinuity mentioned, which are common in calculating experience. We have found a general solution to the generalized system of differential equations by means of a symbolic programming approach using Maple.
back to list of papers
Text and facts may be copied and used freely, but credit should be given to these Proceedings.
All papers were reviewed by members of the scientific committee.
Powered by
Imce 3.20 © 2023, Pavel Formánek, Institute of Thermomechanics AS CR, v.v.i. [generated: 0.0287s]