Engineering Mechanics

International Conference

Proceedings Vol. 17 (2011)


ENGINEERING MECHANICS 2011

17th INTERNATIONAL CONFERENCE
May 9 – 12, 2011, Svratka, Czech Republic
;
Editors: Vladimír Fuis

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-33-8 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

APPLICATION OF MESHLESS MLPG METHOD FOR TRANSIENT ANALYSIS OF AXISYMMETRIC CIRCULAR PLATE BENDING PROBLEM
Staňák P., Sládek J., Sládek V.
pages 563 - 566, full text

Axisymmetric circular plates subjected to stationary and transient dynamic loads are analyzed in the presented paper. Effect of viscous damping is also considered. Dynamic loading with impact and stepped time history is taken into account. The governing equation for the bending of plate represented by partial differential equation (PDE) of the fourth order is decomposed into two coupled PDEs of the second order. Clamped plate edge as a boundary condition is assumed. Axisymmetric assumptions reduce the problem to one dimensional. Each node is a center of 1-D interval subdomain. The weak-form on these small subdomains is applied to derive local integral equations with a unit step function as the test function. Moving least-squares (MLS) approximation technique is applied to obtain system of ordinary differential equations (ODE). Houbolt finite difference scheme is finally applied to solve this system of ODE for certain nodal unknowns.


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All papers were reviewed by members of the scientific committee.


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