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Homogenization of a
Vierendeel girder with elastic joints into an equivalent
polar beam
Antonio Gesualdo, Antonino Iannuzzo, Francesco Penta and Giovanni Pio Pucillo |
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Vol. 12 (2017), No. 4, 485–504
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Abstract |
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In this paper, a homogenization procedure of a Vierendeel girder with elastic joints is shown. The method is based on the Stephen transfer matrix analysis and employs (as a substitute continuum) a polar Timoshenko beam. The polar character of the equivalent beam arises quite naturally from the analysis of the pure bending eigenvector components of the girder force transfer matrix. Through the girder unit cell, two bending moments are transmitted: one is generated by the couple of axial forces acting on each nodal section of the beam, and the other is produced by the moments applied at the nodes of every section by the adjacent cells and is modeled as the resultant of the micropolar moments. Transfer force eigenvector analysis reveals that the unit cell bends while maintaining undeformed webs, a property that allows the evaluation of both the bending stiffnesses and the equivalent material micropolar scale parameter by means of straightforward equations. The accuracy of the proposed method is verified by comparing the predictions of the homogenized model with literature data and with the results of the analysis of a series of girders carried out by the finite element method. |
Keywords
Vierendeel girder, Timoshenko micropolar beam, transfer
matrix analysis, homogenization, compliant joints,
sensitivity analysis
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Milestones
Received: 11 October 2016
Revised: 21 December 2016
Accepted: 26 December 2016
Published: 28 June 2017
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Authors |
| Antonio Gesualdo | |
| Department of Structures for
Engineering and Architecture University of Naples Federico II Via Claudio 21 80125 Naples Italy |
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| Antonino Iannuzzo | |
| Department of Structures for
Engineering and Architecture University of Naples Federico II Via Claudio 21 80125 Naples Italy |
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| Francesco Penta | |
| Department of Industrial
Engineering University of Naples Federico II Piazzale Tecchio 80 80125 Naples Italy |
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| Giovanni Pio Pucillo | |
| Department of Industrial
Engineering University of Naples Federico II Piazzale Tecchio 80 80125 Naples Italy |
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