Nonlinear in-plane stability of deep parabolic arches using geometrically exact beam theory

DOI10.1142/S0219455418500062MaRDI QIDQ6492970

K. V. Nagendra Gopal, Aditya Sabale

Publication date: 26 April 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

bifurcationgeometrically exact beam theorysnap-throughparabolic arches

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55)

Cites Work

• Buckling of parabolic shallow arches when support stiffens under compression
• Non-linear inplane deformation and buckling of rings and high arches
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• On finite deformations of space-curved beams
• In-plane stability of arches
• On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements
• Discrete approximations related to nonlinear theories of solids
• On one-dimensional finite-strain beam theory: the plane problem
• A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams
• EFFECT OF SUPPORT STIFFNESS ON STABILITY OF SHALLOW ARCHES
• In-Plane Nonlinear Buckling of Funicular Arches
• Buckling Analysis of the Discrete Planar Cosserat Rod
• A Novel Approach for Buckling Analysis of Pretwisted Spatially Curved Beams by State Equations
• A fast incremental/iterative solution procedure that handles “snap-through”
• The Application of Newton’s Method to the Problem of Elastic Stability

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