20.500.12556/RUL-32139 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. wavelets scaling functions shape functions linear beam theory discretization valčki skalirane funkcije interpolacijske funkcije linearna teorija nosilcev diskretizacija true false false Springer Verlag Angleški jezik Angleški jezik Neznano 2015-07-10 10:12:24 2015-07-10 10:12:24 2022-11-21 15:26:01 0000-00-00 00:00:00 2009 0 0 Str. 675-686 št. 5 Letn. 43 2009 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.07:531 0178-7675 10.1007/s00466-008-0337-4 4432993 6668037 SP2009CM.pdf SP2009CM.pdf 1 92C08661E814FA06E3C45DC08923B761 e572afc4f5d5974b6928e440255a4cb57dfc96fdaa03c4b62a5bf39490b56058 10d90dac-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/36d7df72-3303-4c8e-9e82-0663d3ea661f https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85648 Fakulteta za gradbeništvo in geodezijo 0 0 0