Extended Multiscale FEM for Design of Beams and Frames with Complex Topology
Applied Mathematical Modelling 2019
Jānis Šliseris, Līga Gaile, Leonīds Pakrastiņš

A numerical method for design of beams and frames with complex topology is proposed. The method is based on extended multi-scale finite element method where beam finite elements are used on coarse scale and continuum elements on fine scale. A procedure for calculation of multiscale base functions, up-scaling and downscaling techniques is proposed by using a modified version of window method that is used in computational homogenization. Coarse scale finite element is embedded into a frame of a material that is representing surrounding structure in a sense of mechanical properties. Results show that this method can capture displacements, shear deformations and local stress-strain gradients with significantly reduced computational time and memory comparing to full scale continuum model. Moreover, this method includes a special hybrid finite elements for precise modelling of structural joints. Hence, the proposed method has a potential application in large scale 2D and 3D structural analysis of non-standard beams and frames where spatial interaction between structural elements is important.

Atslēgas vārdi
Extended beam theory; Multiscale simulations; Finite element method; Corrugated-cellular structures

Šliseris, J., Gaile, L., Pakrastiņš, L. Extended Multiscale FEM for Design of Beams and Frames with Complex Topology. Applied Mathematical Modelling, 2019, No.1, 77.-92.lpp. ISSN 0307-904X. Pieejams: doi:10.1016/j.apm.2018.12.003

Publikācijas valoda
English (en)
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