On the homogenization of periodic beam-like structures
| Autor: | Luca Esposito, Francesco Penta, Vincenzo Rosiello, Giovanni Pio Pucillo, Antonio Gesualdo |
|---|---|
| Přispěvatelé: | Dario Amodio, Nicola Bonora, Gabriele Arcidiacono, Luigi Bruno, Francesco Frendo, Giuseppe Mirone, Francesco Iacoviello, Penta, F., Esposito, L., Pucillo, G. P., Rosiello, V., Gesualdo, A. |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Homogenization Beam like lattice Mathematical analysis Transfer state matrix eigen-analysis 02 engineering and technology 021001 nanoscience & nanotechnology Homogenization (chemistry) Transfer matrix 020303 mechanical engineering & transports 0203 mechanical engineering Cell stiffness Pratt and Vierendeel girder Timoshenko couple-stress beam Girder Pure bending Bending moment Physics::Accelerator Physics Force transmission mode 0210 nano-technology Earth-Surface Processes |
| Popis: | A homogenization method for periodic beam-like structures that is based on the unit cell force transmission modes is presented. Its main advantage is that to identify the principal vectors of the state transfer matrix corresponding to the transmission modes it operates directly on the sub-partitions of the unit cell stiffness matrix and allows to overcome the problems due to ill-conditioning of the transfer matrix. As case study, the Pratt girder is considered. Closed form solutions for the transmission modes of this girder are achieved and used into homogenization. Since the pure bending mode shows that the Pratt unit cell transmits two kinds of bending moments, one given by the axial forces and the other originated by nodal moments, the Timoshenko couple-stress beam is employed as substitute continuum. Finally, a validation of the proposed procedure is carried out comparing the predictions of the homogenized models with the results of a series of girder f.e. analyses. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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