000022415 001__ 22415
000022415 005__ 20170622150012.0
000022415 04107 $$aeng
000022415 046__ $$k2015-05-25
000022415 100__ $$aKrowiak, Artur
000022415 24500 $$aON THE IMPLEMENTATION OF BOUNDARY CONDITIONS IN RBF-PS METHOD APPLIED TO VIBRATION ANALYSIS OF KIRCHHOFF PLATES

000022415 24630 $$n5.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000022415 260__ $$bNational Technical University of Athens, 2015
000022415 506__ $$arestricted
000022415 520__ $$2eng$$aThe paper deals with the implementation of multiple boundary conditions in the radial basis function-based pseudospectral method. This numerical technique belongs to the wide range of meshless discretization methods, combining the flexibility of the meshless discretization with efficiency and simplicity of the pseudospectral techniques. The method can be directly applied to lower order equation, where the number of boundary conditions at a boundary node corresponds to the number of degrees of freedom at this node. For higher order equations the problem arises during collocation procedure due to multiple boundary conditions. In the present paper two approaches to overcome this inconvenience are shown. One is based on the Hermite interpolation idea while the other is a slight modification of the direct approach. The convergence and accuracy of both approaches are examined in the problem of free vibration analysis of plates. Square plates as well as irregular shaped plates with various types of boundary conditions are taken under consideration. Uniform as well as scattered node distributions are applied. The results confirm that both approaches can be useful in the application to plate vibration analysis.

000022415 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022415 653__ $$aMeshless methods, Radial Basis Functions, Pseudospectral techniques, Multiple boundary conditions, Hermite type interpolation.

000022415 7112_ $$aCOMPDYN 2015 - 5th International Thematic Conference$$cCrete (GR)$$d2015-05-25 / 2015-05-27$$gCOMPDYN2015
000022415 720__ $$aKrowiak, Artur
000022415 8560_ $$ffischerc@itam.cas.cz
000022415 8564_ $$s609146$$uhttp://invenio.itam.cas.cz/record/22415/files/C764.pdf$$yOriginal version of the author's contribution as presented on CD, section: 
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000022415 962__ $$r22030
000022415 980__ $$aPAPER