Numerical nonlinear analysis of secondary buckling in stability problems

DOI10.1016/0045-7825(94)00055-RzbMath0849.73019MaRDI QIDQ1913212

Baisheng Wu

Publication date: 7 November 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

symmetryNewton's methodparameteraugmented systemquadratically convergent iteration scheme

Mathematics Subject Classification ID

Bifurcation and buckling (74G60)

Related Items

Direct computation of critical equilibrium states for spatial beams and frames ⋮ Computation of Hopf branches bifurcating from a class of Hopf/steady-state points ⋮ Structural instability analyses based on generalised path-following ⋮ Modified stiffness iteration to pinpoint multiple bifurcation points.

Cites Work

• Secondary bifurcation and imperfection sensitivity of cylindrical shell of finite length
• Singularities and groups in bifurcation theory. Volume I
• Buckling of coupled elastic rods
• A quadratically convergent procedure for the calculation of stability points in finite element analysis
• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• Secondary bifurcations in the buckling problem
• The Computation of Symmetry-Breaking Bifurcation Points
• Secondary States of Rectangular Plates
• Secondary Bifurcation Near a Double Eigenvalue
• Secondary buckled states of rectangular sandwich plates
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