Analytical calculation of static deflection of biperiodic stepped Euler-Bernoulli beam

DOI10.1142/s0219455423400096zbMATH Open1537.7421MaRDI QIDQ6538353

Yuchen Li, Noël Challamel, Isaac Elishakoff

Publication date: 14 May 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

difference equationsscale effectsbeam theorygradient elasticitystatic deflectionhigher-order homogenizationstepped beamsbiperiodic structureshomogenized methods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Cites Work

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• A quantitative assessment of the scale separation limits of classical and higher-order asymptotic homogenization
• Higher order asymptotic homogenization and wave propagation in periodic composite materials
• Exact Analysis of Bi-Periodic Structures
• Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
• Higher order asymptotic homogenization for dynamical problems
• Vibrations of mechanical systems with regular structure
• Linear and Nonlinear Waves in Microstructured Solids

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