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The Thin‐Walled Rod of an Open Cross‐Section as an Element of a 3D‐Structure
Author(s) -
Anisimov D. N.,
Goldshtein Yu. B.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970771211
Subject(s) - image warping , finite element method , cross section (physics) , rigidity (electromagnetism) , section (typography) , deformation (meteorology) , structural engineering , geometry , rod , physics , materials science , mathematics , engineering , composite material , computer science , medicine , alternative medicine , pathology , quantum mechanics , artificial intelligence , operating system
The relation for a rectilinear thin‐walled rod of an open cross‐section is established between displacements and corresponding forces applied at the ends of the rod. The problem is solved in a linear setting, taking into account a flexure, a uniform and nonuniform warping, and also an axial deformation. The calculation is conducted in the deformed configuration. Coefficients of the thin‐walled rod relation form a matrix of rigidity of this rod that allows to include a thinwalled rod of an open cross‐section in a library of a finite element method.