Continuation methods for tracing the equilibrium path in flexible mechanism analysis
From MaRDI portal
Publication:4241292
DOI10.1108/02644409810202602zbMath0952.74534OpenAlexW2053535177MaRDI QIDQ4241292
Alberto Cardona, Alfredo Huespe
Publication date: 10 December 2000
Published in: Engineering Computations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/02644409810202602
continuation methodsaugmented Lagragian techniqueflexible multibody system analysispath following constraint
Related Items
Generalization of the \(C^1\) TUBA plate finite elements to the geometrically exact Kirchhoff-Love shell model, Modelling Multi-Body Systems Using the Master-Slave Approach, Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics, Evaluation of simple bifurcation points and post-critical path in large finite rotation problems, Multibody Dynamics and Nonlinear Control of Flexible Space Structures, Dynamic analysis of 3D beams with joints in the presence of large rotations
Uses Software
Cites Work
- Orthogonal trajectory accession to the nonlinear equilibrium curve
- Consistent linearization for path following methods in nonlinear FE analysis
- A three-dimensional finite-strain rod model. II. Computational aspects
- An incremental approach to the solution of snapping and buckling problems
- The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
- A general procedure for the direct computation of turning and bifurcation points
- A family of solution algorithms for nonlinear structural analysis based on relaxation equations
- An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
- A beam finite element non-linear theory with finite rotations
- Solution Fields of Nonlinear Equations and Continuation Methods
- A fast incremental/iterative solution procedure that handles “snap-through”
- On improved predictions for structural equilibrium path evaluations
- The Application of Newton’s Method to the Problem of Elastic Stability
