Comparison of two linearization schemes for the nonlinear bending problem of a beam pinned at both ends
DOI10.1016/J.IJSOLSTR.2009.12.001zbMATH Open1193.74078OpenAlexW2032932478MaRDI QIDQ991636
Publication date: 7 September 2010
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/62757
Timoshenko beamboundary value problem (BVP)beam pinned at both endscentered finite differenceslocally transversal linearization (LTL)multi-point linear constraintsmulti-step tangential linearization (MTnL)multi-step transversal linearization (MTrL)nonlinear bending problem
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods applied to problems in solid mechanics (74S20)
Cites Work
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- A unified formulation of small-strain corotational finite elements. I: Theory
- Large deflections of cantilever beams of non-linear elastic material under a combined loading
- A three-dimensional finite-strain rod model. II. Computational aspects
- Multi-step transversal and tangential linearization methods applied to a class of nonlinear beam equations
- THE LOCALLY TRANSVERSAL LINEARIZATION (LTL) METHOD REVISITED: A SIMPLE ERROR ANALYSIS
- A multi-step transversal linearization (MTL) method in non-linear structural dynamics
- A New Method for Nonlinear Two-Point Boundary Value Problems in Solid Mechanics
- A Novel Technique in the Solution of Axisymmetric Large Deflection Analysis of a Circular Plate
- A beam finite element non-linear theory with finite rotations
- Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals
- Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints
- Large deflection of cantilever beams
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