The asymptotic analysis of a junction of two elastic beams

DOI10.1002/zamm.201700192OpenAlexW2895138476WikidataQ129133733 ScholiaQ129133733MaRDI QIDQ6152995

Günter R. Leugering, Sergueï A. Nazarov, Andrey S. Slutskij

Publication date: 13 February 2024

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.201700192

zbMATH Keywords

asymptotic analysisplane systems of beamsthin elastic junctions

Mathematics Subject Classification ID

Strings (74K05) Elliptic equations and elliptic systems (35Jxx) Material properties given special treatment (74Exx) General and overarching topics; collections (00-XX)

Related Items (1)

Linear models of a stiffened plate via \(\Gamma \)-convergence

Cites Work

• Asymptotics of the frequencies of natural oscillations of elastic beams joined in the form of the letter \(\Pi\).
• Modeling of the junction between two rods
• Asymptotic analysis of 3-D thin piezoelectric rods
• Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
• Modeling, Stabilization and Control of Serially Connected Beams
• Large displacement analysis of three-dimensional beam structures
• Modelling of dynamic networks of thin thermoelastic beams
• Justification of the Kirchhoff hypotheses and error estimation for two-dimensional models of anisotropic and inhomogeneous plates, including laminated plates
• One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification
• The effect of finite deformations in the elastic stability of plane frames
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