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Amendment schemes for cubic end splines used in structural analysis
Published in Structural Engineering Research Centre
2017
Volume: 43
   
Issue: 6
Pages: 539 - 546
Abstract
Spline functions are well established mathematical tools for interpolation problems encountered in engineering. This has been well recognized in the structural analysis by the so called spline finite strip method for the analysis of prismatic thin plated structures. This paper presents briefly the properties of cubic B3-splines and exemplifies its applicability to some selected problems encountered in structural analysis. Some inconsistencies in the boundary amendment schemes published in the literature, which could destroy the symmetricity of stiffness matrices has been identified here. By suitably modifying the coefficients, symmetric boundary amendment schemes that retain symmetricity even up to second derivative are proposed in this study. The approximating properties of spline functions are exemplified by few simple examples and the amended splines are incorporated in spline finite strip program for analysis of plates under various edge conditions.
About the journal
JournalJournal of Structural Engineering (India)
PublisherStructural Engineering Research Centre
ISSN09700137
Open AccessNo
Concepts (14)
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    Functions
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    Interpolation
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    Splines
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    Stiffness matrix
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    Strip metal
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    AMENDMENT SCHEMES
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    Analysis
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    Cubic spline
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    Interpolation problems
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    Mathematical tools
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    SECOND DERIVATIVES
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    SPLINE FINITE STRIP
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    SPLINE FINITE STRIP METHOD
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    Structural analysis