2018
DOI: 10.1590/1679-78254362
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Abstract: To homogenize lattice beam-like structures, a direct approach based on the matrix eigen-and principal vectors of the state transfer matrix is proposed and discussed. The Timoshenko couple-stress beam is the equivalent continuum medium adopted in the homogenization process. The girders unit cell transmits two kinds of bending moments: the first is generated by the couple of the axial forces acting on the section nodes, the other one is due to the moments directly applied at the node sections by the adjacent cel… Show more

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Cited by 7 publications
(2 citation statements)
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“…Homogenization techniques are used to solve complex mechanical problems in structures for many years. Various approaches have been used, for instance in [ 11 ], for lattice beam-like structures, a direct approach based on the matrix eigenvectors and principal vectors of the state transfer matrix was utilized. In [ 12 ], the periodic beam-like structure homogenization was presented.…”
Section: Introductionmentioning
confidence: 99%
“…Homogenization techniques are used to solve complex mechanical problems in structures for many years. Various approaches have been used, for instance in [ 11 ], for lattice beam-like structures, a direct approach based on the matrix eigenvectors and principal vectors of the state transfer matrix was utilized. In [ 12 ], the periodic beam-like structure homogenization was presented.…”
Section: Introductionmentioning
confidence: 99%
“…For instance, it was used for the homogenization of the cross-section of prefabricated Filigran slabs in the work of Staszak et al [ 16 ] and for thin-walled profiles with holes [ 18 ]. On the other hand, in [ 19 ] the method based on the matrix eigenvectors and the main vectors of the state transfer matrix for the lattice beam-like structure was used. The authors of [ 20 ] present the homogenization of the three-dimensional model of non-centrosymmetric tetrachiral unit cells based on homogenization in bundles taking into account the Timoshenko theory.…”
Section: Introductionmentioning
confidence: 99%