The wavelet-based theory of spatial naturally curved and twisted linear beams
Zupan, Eva (Author), Zupan, Dejan (Author), Saje, Miran (Author)

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The paper presents the wavelet-based discretization of the linearized finite-strain beam theory which assumes small displacements, rotations and strains but is capable of considering an arbitrary initial geometry and material behaviour. In the numerical solution algorithm, we base our derivations on the vector of strain measures as the only unknown functions in a finite element. In such a way the determination of the beam quantities does not require the differentiation. This is an important advantage which allows a wider range of shape functions. In the present paper, the classical polynomial interpolation is compared to scaling and wavelet function interpolations. The computational efficiency of the method is demonstrated by analyzing initially curved and twisted beams.

Keywords:wavelets, scaling functions, shape functions, linear beam theory, discretization
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Publisher:Springer Verlag
Number of pages:str. 675-686
Numbering:Letn. 43, št. 5
ISSN on article:0178-7675
DOI:10.1007/s00466-008-0337-4 Link is opened in a new window
COBISS.SI-ID:4432993 Link is opened in a new window
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Record is a part of a journal

Title:Computational mechanics
Shortened title:Comput. mech.
COBISS.SI-ID:6668037 This link opens in a new window

Secondary language

Keywords:valčki, skalirane funkcije, interpolacijske funkcije, linearna teorija nosilcev, diskretizacija

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