Structural variation theorems extended to integrated force method for the analysis of skeletal structures

DOI10.1002/cnm.1192zbMath1430.74125OpenAlexW1992406362MaRDI QIDQ3583559

M. Najimi, Ali Kaveh

Publication date: 17 August 2010

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1192

zbMATH Keywords

integrated force methodpin-jointed trussesrigidly jointed framestheorems of structural variation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99)

Cites Work

• Optimum design of structures with stress and displacement constraints using the force method
• A combinatorial optimization problem: optimal generalized cycle bases
• Improved cycle bases for the flexibility analysis of structures
• Benchmark case studies in structural design optimization using the force method
• Sparse self-stress matrices for the finite element force method
• On computational procedures for the force method
• The Null Space Problem I. Complexity
• Computing a Sparse Basis for the Null Space
• Integrated force method versus displacement method for finite element analysis
• The theorems of structural variation for solid cubic finite elements
• Inter‐relation of the structural variation theorems and the force method
• An efficient graph theoretical method for plate bending finite element analysis via force method
• A Problem in Applied Topology: on the Selection of Cycles for the Flexibility Analysis of Skeletal Structures
• An integrated force method for discrete analysis

This page was built for publication: Structural variation theorems extended to integrated force method for the analysis of skeletal structures