Analysis of thick plates by a finite space element

Abstract

U radu su prikazane mogućnosti prostornog konačnog elementa velike točnosti u linearnoj analizi ploča proizvoljne ali konstantne debljine. Primijenjen je pravokutni trikubični Lagrangeov element s 192 kinematička stupnja slobode. Opisano je analitičko rješenje bisinusoidalnog savijanja zglobno oslonjene ploče i pripadni numerički model. Rezultati usporedbe analitičkog i numeričkog rješenja pokazuju visoki stupanj točnosti pomaka i naprezanja dobivenih numeričkim proračunom.Possibilities of using a highly accurate finite space element in the linear analysis of plates of arbitrary but constant thickness are presented in the paper. The rectangular three cubical Lagrange element with 192 kinematic degrees of freedom is applied in the analysis. The analytical solution for bisinusoidal bending of a hinged plate, as well as an appropriate numerical model, are described. The comparison of analytical and numerical solutions shows a high level of accuracy as to displacement and stress values obtained by numerical analysis

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