Weight Minimization of an Elastic Beam with Classical and Non-Classical Boundary Conditions

DOI10.1002/ZAMM.19870670804zbMath0631.73080OpenAlexW2008391892MaRDI QIDQ3768513

Ivan Hlaváček

Publication date: 1987

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19870670804

zbMATH Keywords

uniform convergenceminimum complementary energyrectangular cross-sectionmesh refinementpiecewise linear approximationsdual variational formulationnon-classical boundary conditionsminimum weight designsaddle point theorybending momentselastic homogeneous beamoptimal variable height

Mathematics Subject Classification ID

Variational inequalities (49J40) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99) Existence theories for free problems in one independent variable (49J05)

Related Items (1)

Optimal thickness distribution of stepped nonlinear Gao beam

This page was built for publication: Weight Minimization of an Elastic Beam with Classical and Non-Classical Boundary Conditions