Journal
CONTINUUM MECHANICS AND THERMODYNAMICS
Volume 31, Issue 1, Pages 79-99Publisher
SPRINGER
DOI: 10.1007/s00161-018-0660-8
Keywords
Cosserat rods; Structural response; SO(3); SHM
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Funding
- National Centre of Science of Poland [DEC-2012/05/D/ST8/02298]
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Paper presents the application of the Cosserat rod theory and newly developed associated finite elements code as the tools that support in the expert-designing engineering practice. Mechanical principles of the 3D spatially curved rods, dynamics (statics) laws, principle of virtual work are discussed. Corresponding FEM approach with interpolation and accumulation techniques of state variables are shown that enable the formulation of the C0 Lagrangian rod elements with 6-degrees of freedom per node. Two test examples are shown proving the correctness and suitability of the proposed formulation. Next, the developed FEM code is applied to assess the structural response of the spatial truss roof of the Olivia Sports Arena Gdansk, Poland. The numerical results are compared with load test results. It is shown that the proposed FEM approach yields correct results.
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