journal article·2020-09-24Open access

Homogenization of Ancient Masonry Buildings: A Case Study

Simona Di Nino, Daniele Zulli

Applied Sciences· Volume 10· Issue 19

Abstract

With the aim of evaluating local and global dynamic mechanisms of a vast and historical masonry building, a homogeneous structural model is proposed here. It is realized with the assembly of othotropic plates and Timoshenko and pure shear beams as well. The identification of the constitutive parameters is carried out after realizing refined finite element models of building portions, and imposing energy or displacement equivalence with the corresponding homogeneous versions, depending on the complexity of the involved schemes. The outcomes are compared with those provided by experimental investigations, and help to give insight and interpretation on the dynamic behavior of the building.
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Research context

OpenAlex topics: Masonry and Concrete Structural Analysis · Building materials and conservation · Hygrothermal properties of building materials

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Affiliations

International Research Center on Mathematics and Mechanics of Complex Systems, University of L’Aquila, 67100 L’Aquila, Italy

Department of Civil, Construction-Architectural and Environmental Engineering, University of L’Aquila, 67100 L’Aquila, Italy

References (42)

Show source-provided references
1. Continuum Modeling for Repetitive Lattice Structures10.1115/1.3151907 ↗
2. Linear pantographic sheets: Asymptotic micro-macro models identification10.2140/memocs.2017.5.127 ↗
3. Luongo, A., and Zulli, D. (2013). Mathematical Models of Beams and Cables, Iste-Wiley.10.1002/9781118577554 ↗
4. Shear-shear-torsional homogeneous beam models for nonlinear periodic beam-like structures10.1016/j.engstruct.2019.01.039 ↗
5. Ferretti, M., D’Annibale, F., and Luongo, A. (2020). Buckling of tower-buildings on elastic foundation under compressive tip-forces and self-weight. Contin. Mech. Thermodyn., 1–21.10.1007/s00161-020-00911-2 ↗
6. Flexural torsional buckling of uniformly compressed beam-like structures10.1007/s00161-018-0627-9 ↗
7. Ferretti, M., D’Annibale, F., and Luongo, A. (2020). Modeling beam-like planar structures by a one-dimensional continuum: An analytical-numerical method. J. Appl. Comput. Mech.
8. Luongo, A., D’Annibale, F., and Ferretti, M. (2020). Shear and flexural factors for homogenized beam models of planar frames. Eng. Struct., Submitted.10.1016/j.engstruct.2020.111440 ↗
9. Free and forced linear dynamics of a homogeneous model for beam-like structures10.1007/s11012-019-01070-8 ↗
10. Zulli, D., and Luongo, A. (2020). Nonlinear dynamics and stability of a homogeneous model of tall buildings under resonant action. J. Appl. Comput. Mech., Submitted.
11. Equivalent Timoshenko linear beam model for the static and dynamic analysis of tower buildings10.1016/j.apm.2019.02.005 ↗
12. A shear–shear torsional beam model for nonlinear aeroelastic analysis of tower buildings10.1007/s00033-014-0456-z ↗
13. Equivalent nonlinear beam model for the 3D analysis of shear-type buildings: Application to aeroelastic instability10.1016/j.ijnonlinmec.2015.07.013 ↗
14. Parametric, external and self-excitation of a tower under turbulent wind flow10.1016/j.jsv.2011.01.016 ↗
15. Nonlinear aeroelastic behavior of a base-isolated beam under steady wind flow10.1016/j.ijnonlinmec.2019.103340 ↗
16. Bifurcation and stability of a two-tower system under wind-induced parametric, external and self-excitation10.1016/j.jsv.2011.09.008 ↗
17. Galloping of internally resonant towers subjected to turbulent wind10.1007/s00161-014-0384-3 ↗
18. Nonlinear Generalized Beam Theory for cold-formed steel members10.1142/S0219455403001002 ↗
19. A new approach for thin-walled member analysis in the framework of GBT10.1016/j.tws.2011.06.008 ↗
20. A complete dynamic approach to the GBT cross–section analysis including extension and shear modes10.1177/1081286513493107 ↗
21. A novel straightforward dynamic approach for the evaluation of extensional modes within GBT ’cross-section analysis’10.1016/j.tws.2017.01.001 ↗
22. A nonlinear one-dimensional model of cross-deformable tubular beam10.1016/j.ijnonlinmec.2014.03.008 ↗
23. The Brazier effect for elastic pipe beams with foam cores10.1016/j.tws.2017.11.053 ↗
24. A one-dimensional beam-like model for double-layered pipes10.1016/j.ijnonlinmec.2018.11.006 ↗
25. Homogenization of heterogeneous masonry beams10.1007/s11012-017-0758-2 ↗
26. Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints10.1016/j.compositesb.2017.03.004 ↗
27. Analysis of masonry structures: Review of and recent trends in homogenization techniques10.1139/L07-097 ↗
28. A simple homogenized orthotropic model for in-plane analysis of regular masonry walls10.1016/j.ijsolstr.2019.03.013 ↗
29. A nonlinear homogenization procedure for periodic masonry10.1016/j.euromechsol.2008.06.005 ↗
30. Modeling approaches for masonry structures10.2174/1874149501408010288 ↗
31. D’Altri, A., Sarhosis, V., Milani, G., Rots, J., Cattari, S., Lagomarsino, S., Sacco, E., Tralli, A., Castellazzi, G., and de Miranda, S. (2019). Modeling Strategies for the Computational Analysis of Unreinforced Masonry Structures: Review and Classification. Arch. Comput. Methods Eng., 1–33.10.1007/s11831-019-09351-x ↗
32. Continuum damage model for orthotropic materials: Application to masonry10.1016/j.cma.2010.11.010 ↗
33. A simple model for damage analysis of a frame-masonry shear-wall system10.1016/j.ijsolstr.2017.09.007 ↗
34. Angiolilli, M., and Gregori, A. (2020). Triplet test on rubble stone masonry: Numerical assessment of the shear mechanical parameters. Buildings, 10.10.20944/preprints202002.0226.v1 ↗
35. Gregori, A., and Angiolilli, M. (2017, January 17–21). Simulating shear-compression mechanical behavior of historical masonry panels: Sensitivity of 3D numerical models to input parameters. Proceedings of the XVII ANIDIS—Italian Seismic Engineering Conference, Pistoia, Italia.
36. Dynamic identification of a masonry façade from seismic response data based on an elementary Ordinary Least Squares approach10.1016/j.engstruct.2019.109415 ↗
37. Aloisio, A., Di Battista, L., Alaggio, R., and Fragiacomo, M. (2019, January 24–26). Analysis of the forced dynamics of a masonry facade by means of input-output techniques and a linear regression model. Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Crete, Greece.10.7712/120119.7035.18724 ↗
38. Dynamic identification and model updating of full-scale concrete box girders based on the experimental torsional response10.1016/j.conbuildmat.2020.120146 ↗
39. Sensitivity analysis of subspace-based damage indicators under changes in ambient excitation covariance, severity and location of damage10.1016/j.engstruct.2020.110235 ↗
40. Computers and Structures, I. (2011). CSI Analysis Reference Manual: SAP 2000, Compurers and Structures, Inc.
41. Timoshenko, S., and Woinowsky-Krieger, S. (1959). Theory of Plates and Shells, McGraw-Hill.
42. Lewinski, T., and Telega, J.J. (2000). Plates, Laminates and Shells: Asymptotic Analysis And Homogenization, World Scientific.10.1142/9789812813695 ↗