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Numerical computations of three‐dimensional thin panel structures
Author(s) -
Růžičková H.,
Ženíšek A.
Publication year - 1976
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620100611
Subject(s) - discretization , finite element method , piecewise , computation , piecewise linear function , mathematics , elasticity (physics) , numerical analysis , mixed finite element method , mathematical analysis , lagrange multiplier , mathematical optimization , structural engineering , algorithm , engineering , physics , thermodynamics
A finite element model for analysing static problems of three‐dimensional thin panel constructions is presented. The potential energy of stretching of each panel is represented by the classical Lagrange formulation of two‐dimensional elasticity and in the finite element discretization piecewise linear u, v displacements are used. The potential energy of bending of each panel is represented in the finite element discretization by Hellan and Herrmann's model, i.e. piecewise constant moments and piecewise linear w ‐displacements are used. The physical appropriateness of the model is verified for different assemblages of panels, and in all cases good numerical results are obtained.