Solving large-deflection problem of spatial beam with circular cross-section using an optimization-based Runge-Kutta method

DOI10.1515/IJNSNS-2015-0053zbMath1401.74172OpenAlexW2320642641MaRDI QIDQ1661511

Jianyuan Jia, Geng Li, Guimin Chen

Publication date: 16 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0053

zbMATH Keywords

unconstrained optimizationRunge-Kutta methodspatial beamlarge spatial deflection

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

• fminsearch

Cites Work

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• A nonlinear analysis of spatial compliant parallel modules: multi-beam modules
• Kirchhoff's theory of rods
• Large displacement analysis of three-dimensional beam structures
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
• Mathematics for computer graphics

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