Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements

DOI10.1016/J.WAVEMOTI.2024.103344MaRDI QIDQ6632893

Hilal Reda, Abdallah Wazne, J. F. Ganghoffer, Hassan Lakiss

Publication date: 5 November 2024

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

zbMATH Keywords

wave propagationshape functionsperturbation approachTimoshenko beamsnon-linear kinematicsnonlinear effects on dispersion diagrams

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Optics, electromagnetic theory (78-XX)

Cites Work

• Homogenization and equivalent in-plane properties of two-dimensional periodic lattices
• Relationships between bending solutions of classical and shear deformation beam theories
• The effect of pre-stress on the vibration and stability of elastic plates
• Forced localization in a periodic chain of nonlinear oscillators
• Resonant oscillations of a weakly coupled, nonlinear layered system
• Development of size-dependent consistent couple stress theory of Timoshenko beams
• A higher order beam finite element for bending and vibration problems
• A new rectangular beam theory
• An improved two-node timoshenko beam finite element
• Stiffness analysis of beams using a higher-order theory
• Amplification of Nonlinear Strain Waves in Solids
• Nonlinear wave propagation in homogenized strain gradient 1D and 2D lattice materials: applications to hexagonal and triangular networks

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Nonlinear wave propagation in homogenized strain gradient 1D and 2D lattice materials: applications to hexagonal and triangular networks

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