Earthquakes and Structures

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Vault macro-element with equivalent trusses in global seismic analyses

  • Giresini, Linda (Department of Energy, Systems, Territory and Constructions Engineering Largo Lucio Lazzarino 1, Pisa, University of Pisa) ;
  • Sassu, Mauro (Department of Energy, Systems, Territory and Constructions Engineering Largo Lucio Lazzarino 1, Pisa, University of Pisa) ;
  • Butenweg, Christoph (Lehrstuhl fur Baustatik und Baudynamik) ;
  • Alecci, Valerio (Department of Architecture, Piazza Brunelleschi 6, Firenze, University of Firenze) ;
  • De Stefano, Mario (Department of Architecture, Piazza Brunelleschi 6, Firenze, University of Firenze)
  • Received : 2016.09.01
  • Accepted : 2017.03.21
  • Published : 2017.04.25
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Abstract

This paper proposes a quick and simplified method to describe masonry vaults in global seismic analyses of buildings. An equivalent macro-element constituted by a set of six trusses, two for each transverse, longitudinal and diagonal direction, is introduced. The equivalent trusses, whose stiffness is calculated by fully modeled vaults of different geometry, mechanical properties and boundary conditions, simulate the vault in both global analysis and local analysis, such as kinematic or rocking approaches. A parametric study was carried out to investigate the influence of geometrical characteristics and mechanical features on the equivalent stiffness values. The method was numerically validated by performing modal and transient analysis on a three naves-church in the elastic range. Vibration modes and displacement time-histories were compared showing satisfying agreement between the complete and the simplified models. This procedure is particularly useful in engineering practice because it allows to assess, in a simplified way, the effectiveness of strengthening interventions for reducing horizontal relative displacements between vault supports.

Keywords

References

  1. Abaqus CAE 6.12, User's and Theory Manuals.
  2. Alecci, V., Focacci, F., Rovero, L., Stipo, G. and De Stefano, M. (2016), "Extrados strengthening of brick masonry arches with PBO-FRCM composites: experimental and analytical investigations", Compos. Struct., 149, 184-196. https://doi.org/10.1016/j.compstruct.2016.04.030
  3. Andreini, M., Conti, T., Masiello, G., Sassu, M. and Vezzosi, A. (2010), "La Chiesa Di Santa Gemma a Goriano Sicoli (Aq): Input Sismico e Meccanismi Di Danno", Design for rehabilitation of masonry structures, 4, 1-12.
  4. Andreini, M., De Falco, A., Giresini, L. and Sassu, M. (2014), "Structural damage in the cities of Reggiolo and Carpi after the earthquake on May 2012 in Emilia Romagna", Bull. Earthq. Eng., 12(5), 2445-2480. https://doi.org/10.1007/s10518-014-9660-7
  5. Caddemi, S., Calio, I., Cannizzaro, F. and Panto, B. (2014), "The Seismic Assessment of Historical Masonry Structures", Proceedings of Twelfth International Conference on Computational Structures Technology, Naples, Italy, September.
  6. Caddemi, S., Calio, I., Cannizzaro, F., Occhipinti, G. and Panto, B. (2015), "A Parsimonious Discrete Model for the Seismic Assessment of Monumental Structures", Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing, Stirlingshire, UK.
  7. Calio, I., Marletta, M. and Panto, B. (2012), "A new discrete element model for the evaluation of the seismic behaviour of unreinforced masonry buildings", Eng. Struct., 40, 327-338. https://doi.org/10.1016/j.engstruct.2012.02.039
  8. D'Ayala, D.F. and Tomasoni, E. (2011), "Three-dimensional analysis of masonry vaults using limit state analysis with finite friction", Int. J. Archit. Herit., 5(2), 140-171. https://doi.org/10.1080/15583050903367595
  9. De Falco, A., Giresini, L. and Sassu, M. (2013), "Temporary preventive seismic reinforcements on historic churches: numerical modeling of San Frediano in Pisa", Appl. Mech. Mater., 351-352, 1393-1396. https://doi.org/10.4028/www.scientific.net/AMM.351-352.1393
  10. DeJong, M.J. and Dimitrakopoulos, E.G. (2014), "Dynamically equivalent rocking structures", Earthq. Eng. Struct. Dyn., 43(10), 1543-1563. https://doi.org/10.1002/eqe.2410
  11. Eurocode 8 (2003), Design Provisions for Earthquake Resistance of Structures. Part 1.1: General Rules, Seismic Actions and Rules for Buildings, European Committee for Standardization; Brussels, Belgium.
  12. Giresini, L. (2015), "Energy-based method for identifying vulnerable macro-elements in historic masonry churches", Bull. Earthq. Eng., 44(13), 2359-2376.
  13. Giresini, L. and Sassu, M. (2016), "Horizontally restrained rocking blocks: evaluation of the role of boundary conditions with static and dynamic approaches", Bull. Earthq. Eng., 15(1), 385-410.
  14. Giresini, L., Butenweg, C., Andreini, M., De Falco, A. and Sassu, M. (2014), "Numerical calibration of a macro-element for vaulted systems in historic churches", Proceedings of Structural analysis of historical constructions, SAHC, Mexico City, Mexico.
  15. Giresini, L., Fragiacomo, M. and Lourenco, P.B. (2015), "Comparison between rocking analysis and kinematic analysis for the dynamic out-of-plane behavior of masonry walls", Earthq. Eng. Struct. Dyn., 44(13), 2359-2376. https://doi.org/10.1002/eqe.2592
  16. Giresini, L., Fragiacomo, M. and Sassu, M. (2016), "Rocking analysis of masonry walls interacting with roofs", Eng. Struct., 116, 107-120. https://doi.org/10.1016/j.engstruct.2016.02.041
  17. Krajewski, P. and Hojdys, L. (2015), "Experimental studies on buried barrel vaults", Int. J. Archit. Herit., 9(7), 834-843. https://doi.org/10.1080/15583058.2013.860499
  18. Magenes, G. and La Fontana, A. (1998), "Simplified nonlinear seismic analysis of masonry buildings", Proceedings of British Masonry Society 8.
  19. Marseglia, P.S., Micelli, F., Leone, M. and Aiello, M.A. (2014), "Modeling of masonry vaults as equivalent diaphragms", Key Eng. Mater., 628, 185-190. https://doi.org/10.4028/www.scientific.net/KEM.628.185
  20. Milani, E., Milani, G. and Tralli, A. (2008), "Limit analysis of masonry vaults by means of curved shell finite elements and homogenization", Int. J. Solid. Struct., 45(20), 5258-5288. https://doi.org/10.1016/j.ijsolstr.2008.05.019
  21. NTC (2008), "Approvazione delle Nuove Norme Tecniche per le Costruzioni", Gazzetta Ufficiale della Repubblica Italiana n. 29, February, 28th 2008.
  22. Panto, B., Cannizzaro, F., Caddemi, S. and Calio, I. (2016), "3D macro-element modelling approach for seismic assessment of historical masonry churches", Adv. Eng. Softw., 97, 40-59. https://doi.org/10.1016/j.advengsoft.2016.02.009
  23. Rossi, M. (2015), "Evaluation of the seismic response of masonry cross-vaults", Ph.D. Dissertation, University of Genova, Genova.

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