Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

DOI10.1016/j.wavemoti.2015.10.008zbMath1468.74026OpenAlexW2204455682MaRDI QIDQ2184759

Florian Paul Robert Maurin

Publication date: 29 May 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2015.10.008

zbMATH Keywords

dispersion curvesperiodic boundary conditionsBloch theoremBoerdijk-Coxeter helixdiscretized unit cellglide and screw symmetries

Mathematics Subject Classification ID

Linear waves in solid mechanics (74J05)

Related Items (4)

Wave propagation in periodic buckled beams. I: Analytical models and numerical simulations ⋮ Bloch theorem for isogeometric analysis of periodic problems governed by high-order partial differential equations ⋮ Bloch theorem with revised boundary conditions applied to glide, screw and rotational symmetric structures ⋮ Free and forced response of three-dimensional waveguides with rotationally symmetric cross-sections

Cites Work

• Block circulant matrices and applications in free vibration analysis of cyclically repetitive structures
• Elastic waves in helical waveguides
• Low-frequency wave propagation in post-buckled structures
• Characteristic solutions for the statics of repetitive beam-like trusses
• Eigenanalysis and continuum modelling of pre-twisted repetitive beam-like structures
• A new method of analyzing wave propagation in periodic structures; Applications to periodic timoshenko beams and stiffened plates
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