Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses

This paper investigates different approximation techniques for planar beam column elements in force-based methods. The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation appl...

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Bibliographic Details
Published inJournal of Applied Mathematics Vol. 2012; no. 2012; pp. 1361 - 1371-391
Main Authors Vahdani, SH, Abyaneh, M. H., Jafari, V., Vahidi, M.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Accuracy
Approximation
Computational efficiency
Displacement
Finite element analysis
Flexibility
Focusing
Interpolation
Mathematical analysis
Methods
Polynomials
Studies
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Summary:This paper investigates different approximation techniques for planar beam column elements in force-based methods. The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation applied in state space, and higher-order displacement approximation utilized again in state space. Using these three approximation fields, the responses and their accuracies in some systems are compared in examples. Finally, focusing on the accuracy and regarding the performed analyses, it seems that the computational cost is reduced and accuracy of responses is elevated in many engineering problems using the higher-order approximation field in state space.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1110-757X
1687-0042
DOI:10.1155/2012/516290