Identifying critical loads of frame structures with equilibrium equations in rate form

DOI10.1155/2015/325969zbMath1394.74087OpenAlexW1685554225WikidataQ59118033 ScholiaQ59118033MaRDI QIDQ1665372

Xianchao Kong, Gang Wang, Zhao-Hui Qi

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/325969

Mathematics Subject Classification ID

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

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• A corotational finite element method combined with floating frame method for large steady-state deformation and free vibration analysis of a rotating-inclined beam
• A unified formulation of small-strain corotational finite elements. I: Theory
• Co-rotational beam elements with warping effects in instability problems
• A unified co-rotational framework for solids, shells and beams
• Improved minimal augmentation procedure for the direct computation of critical points.
• Numerical simulation of anisotropic tissue growth using a total Lagrangian formulation
• A study on the instability problem for 3D frames
• An excursion into large rotations
• Stabilization of constraints and integrals of motion in dynamical systems
• The MATLAB ODE Suite
• A general procedure for the direct computation of turning and bifurcation points
• An arc-length method including line searches and accelerations
• A fast incremental/iterative solution procedure that handles “snap-through”
• Finite element formulations for large deformation dynamic analysis
• Computing critical points and secondary paths in nonlinear structural stability analysis by the finite element method
• Numerical Methods for Ordinary Differential Equations

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