An efficient graph theoretical method for plate bending finite element analysis via force method

DOI10.1108/02644400710817934zbMath1182.74199OpenAlexW2037608501MaRDI QIDQ5190551

K. Koohestani, Ali Kaveh

Publication date: 18 March 2010

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400710817934

zbMATH Keywords

graph theoryfinite element analysisflexibilityforceplate structures

Mathematics Subject Classification ID

Applications of graph theory (05C90) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

An efficient graph‐theoretical force method for three‐dimensional finite element analysis, Efficient finite element analysis of models comprised of higher order triangular elements, Computing the null space of finite element problems, Structural variation theorems extended to integrated force method for the analysis of skeletal structures, Efficient graph-theoretical force method for two-dimensional rectangular finite element analysis

Cites Work

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• Improved cycle bases for the flexibility analysis of structures
• Sparse self-stress matrices for the finite element force method
• On computational procedures for the force method
• The integrated force method versus the standard force method
• The Null Space Problem I. Complexity
• Computing a Sparse Basis for the Null Space
• The Null Space Problem II. Algorithms
• An efficient program for generating subminimal cycle bases for the flexibility analysis of structures
• An alternative method for finite element analysis: a combinatorial approach to the flexibility method for structural continua and to analogous methods in field analysis