Curve Optimization of Tapered Cantilever Beams Under Tip Loads

DOI10.4208/AAMM.OA-2020-0196zbMath1488.49043MaRDI QIDQ5157099

Jun Xia, Guobin Gong, Minyi Zhu

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

Timoshenko beamvariational principleisoperimetric problemEuler-Bernoulli beamtapered beamcurve optimization

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for minimax problems (49K35) Compliance or weight optimization in solid mechanics (74P05) Variational principles of physics (49S05)

Cites Work

• Topology optimization of beam cross-sections
• Buckling load optimization of beams
• Three-dimensional shape optimization
• Free vibrations of tapered beams with flexible ends
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