000013436 001__ 13436
000013436 005__ 20161114165553.0
000013436 04107 $$aeng
000013436 046__ $$k2011-05-25
000013436 100__ $$aKrowiak, A.
000013436 24500 $$aAn Efficient Use of the Symbolic Spline-Based Differential Quadrature Method in Vibration Analysis of Shells

000013436 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013436 260__ $$bNational Technical University of Athens, 2011
000013436 506__ $$arestricted
000013436 520__ $$2eng$$aThe paper presents the differential quadrature method (DQM) based on a modified spline interpolation and the application of the method in vibration analysis of laminated, composite shells. The goal of the modification of the spline interpolation is to improve the rate of convergence and preserve the stability of the method. The modification changes the definition of the end conditions for the spline interpolation. Two types of the end conditions are combined and appropriately applied at the stage of the determination of the weighting coefficients for the DQM. With the aid of the symbolic computation the weighting coefficients can be successfully determined for any spline degree. The efficiency of the method is examined by the example of the free vibration of composite, conical shells. The influence of the modified end conditions, number of nodes and spline degree on the convergence and accuracy is studied. The achieved results are compared with the results obtained using conventional DQM and using other numerical techniques.

000013436 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013436 653__ $$adifferential quadrature, spline interpolation, free vibration, composite shell.

000013436 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013436 720__ $$aKrowiak, A.
000013436 8560_ $$ffischerc@itam.cas.cz
000013436 8564_ $$s178579$$uhttps://invenio.itam.cas.cz/record/13436/files/104.pdf$$yOriginal version of the author's contribution as presented on CD, section: RS 01 Numerical Simulation for Structural Dynamics  .
000013436 962__ $$r13401
000013436 980__ $$aPAPER