The wavelet-based theory of spatial naturally curved and twisted linear beams
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.
2009
2015-07-10 10:12:24
1033
wavelets, scaling functions, shape functions, linear beam theory, discretization
valčki, skalirane funkcije, interpolacijske funkcije, linearna teorija nosilcev, diskretizacija
Springer Verlag
Eva
Zupan
70
Dejan
Zupan
70
Miran
Saje
70
UDK
4
624.07:531
ISSN pri članku
9
0178-7675
DOI
15
10.1007/s00466-008-0337-4
COBISS_ID
3
4432993
OceCobissID
13
6668037
0
Predstavitvena datoteka
2015-07-10 10:12:25
SP2009CM.pdf
269197
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2016-06-15 08:15:21