Vol.6, No 1, 2007 pp. 113-118
UDC 519.214

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THE POST-BUCKLING ANALYSIS OF PLATES.
A BEM BASED MESHLESS VARIATIONAL SOLUTION 
John T. Katsikadelis¹, Nick Babouskos^2
1School of Civil Engineering & Academy of Athens, Office of Theoretical and Applied Mechanics National Technical University of Athens, Zografou Campus, 157 73, Athens Greece
e-mail: jkats@central.ntua.gr
²School of Civil Engineering, National Technical University of Athens, Zografou Campus, 157 73, Athens Greece e-mail: babouskosn@yahoo.gr

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Abstract. A new BEM based variational method is presented for post-buckling analysis of thin elastic plates of arbitrary shape under general boundary conditions. The response of the plate is described by three coupled nonlinear partial differential equations in terms of displacements, which are derived on the base of the von Kármán assumption. The solution is achieved using the AEM. The numerical examples demonstrate the efficiency and validate the accuracy of the developed method.
Key words: Boundary element method, plates, analog equation, nonlinear, variational, optimal multiquadrics.

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ANALIZA NAPREGNUTIH PLOČA METODOM GRANIČNIH ELEMENATA Nova metoda graničnih elemanata zasnovana na varijacionoj metodi je predstavljena u primeni na analizu stanja savije netanke elastične ploče proizvoljnog oblika za slučaj opštih graničnih uslova. Odziv ploče je opisan pomoću tri spregnute parcijalne nelinearne diferencijalne jednačine izražene pomoću pomeranja, pri čemu su korišćene von Kármán-ove pretpostavke. Rešenja su dobijena korišćenjem AEM. Numeričkim primerom je prikazana efektivnost primene i kvalitet tačnosti razvijene metode.
Ključne reči: metoda graničnih elemenata, ploče, analog jednačine, nelinearni, varijacioni, optimalni, multikvadratni.