Chaotic dynamics of the size-dependent non-linear micro-beam model

DOI10.1016/j.cnsns.2017.02.015zbMath1456.74068OpenAlexW2591410365MaRDI QIDQ2007358

Yanyan Li

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.02.015

zbMATH Keywords

Hamilton principlecouple stress theoryPomeau-Manneville route to chaos

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)

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Cites Work

• Unnamed Item
• Nonlinear coupled problems in dynamics of shells
• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Chaos in structural mechanics
• Determining Lyapunov exponents from a time series
• Couple stress based strain gradient theory for elasticity
• A practical method for calculating largest Lyapunov exponents from small data sets
• A Simple Higher-Order Theory for Laminated Composite Plates
• Distributed piezoelectric-polymer active vibration control of a cantilever beam
• A new rectangular beam theory