The paper deals with a direct approach to homogenize lattice beam-like structures via eigen- and princi-pal vectors of the state transfer matrix. Since the girders unit cells transmit two bending moments, one given by the axial forces, the other originated by nodal moments, the Timoshenko couple-stress beams is employed as substitute continuum. The main advantage of the method is the possibility of operating directly on the sub-partitions of the unit cell stiffness matrix. Closed form solutions for the Pratt and X-braced girders are achieved and used into the homogenization. Unit cells with more complex geometries are numerically addressed with direct approach, showing that the principal vector problem corresponds to the inversion of a well-conditioned matrix. Finally, a validation of the procedure is carried out comparing the predictions of the homogenized models with the outcomes of f.e. analyses performed on a series of girders.

Periodic beam-like structures homogenization by transfer matrix eigen-analysis: A direct approach / Penta, F.; Monaco, M.; Pucillo, G. P.; Gesualdo, A.. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 85:(2017), pp. 81-88. [10.1016/j.mechrescom.2017.08.007]

Periodic beam-like structures homogenization by transfer matrix eigen-analysis: A direct approach

Penta F.;Pucillo G. P.;Gesualdo A.
2017

Abstract

The paper deals with a direct approach to homogenize lattice beam-like structures via eigen- and princi-pal vectors of the state transfer matrix. Since the girders unit cells transmit two bending moments, one given by the axial forces, the other originated by nodal moments, the Timoshenko couple-stress beams is employed as substitute continuum. The main advantage of the method is the possibility of operating directly on the sub-partitions of the unit cell stiffness matrix. Closed form solutions for the Pratt and X-braced girders are achieved and used into the homogenization. Unit cells with more complex geometries are numerically addressed with direct approach, showing that the principal vector problem corresponds to the inversion of a well-conditioned matrix. Finally, a validation of the procedure is carried out comparing the predictions of the homogenized models with the outcomes of f.e. analyses performed on a series of girders.
2017
Periodic beam-like structures homogenization by transfer matrix eigen-analysis: A direct approach / Penta, F.; Monaco, M.; Pucillo, G. P.; Gesualdo, A.. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 85:(2017), pp. 81-88. [10.1016/j.mechrescom.2017.08.007]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/692865
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 29
  • ???jsp.display-item.citation.isi??? 22
social impact