Model Updating Procedure to Enhance Structural Analysis in FE Code NOSA-ITACA
Publication: Journal of Performance of Constructed Facilities
Volume 33, Issue 4
Abstract
This paper describes a model updating procedure implemented in NOSA-ITACA, a finite-element (FE) code for the structural analysis of masonry constructions of historical interest. The procedure, aimed at matching experimental frequencies and mode shapes, allows for fine-tuning the calculations of the free parameters in the model. The numerical method is briefly described, and some issues related to its robustness are addressed. The procedure is then applied to a simple case study and two historical structures in Tuscany, the Clock Tower in Lucca and the Maddalena Bridge in Borgo a Mozzano.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was partially supported by the Region of Tuscany and MIUR, the Italian Ministry of Education, Universities, and Research within the Call FAR-FAS 2014 (MOSCARDO Project: ICT technologies for structural monitoring of age-old constructions based on wireless sensor networks and drones, 2016–2018), and by the GNCS/INdAM project “Metodi numerici avanzati per equazioni e funzioni di matrici con struttura.” These supports are gratefully acknowledged.
References
Altunişik, A. C., F. Y. Okur, A. Fuat Genç, M. Günaydin, and S. Adanur. 2018. “Automated model updating of historical masonry structures based on ambient vibration measurements.” J. Perform. Constr. Facil. 32 (1): 04017126. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001108.
Azzara, R. M., A. De Falco, M. Girardi, and D. Pellegrini. 2017. “Ambient vibration recording on the Maddalena Bridge in Borgo a Mozzano (Italy): Data analysis.” Ann. Geophys. 60 (4): S0441. https://doi.org/10.4401/ag-7159.
Bakir, P. G., E. Reynders, and G. De Roeck. 2007. “Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm.” J. Sound Vib. 305 (1–2): 211–225. https://doi.org/10.1016/j.jsv.2007.03.044.
Bassoli, E., L. Vincenzi, A. M. D’Altri, S. de Miranda, M. Forghieri, and G. Castellazzi. 2018. “Ambient vibration-based finite element model updating of an earthquake-damaged masonry tower.” Struct. Control Health Monit. 25 (5): e2150. https://doi.org/10.1002/stc.2150.
Bautista-De Castro, Á., L. J. Sánchez-Aparicio, L. F. Ramos, J. Sena-Cruz, and D. González-Aguilera. 2018. “Integrating geomatic approaches, operational modal analysis, advanced numerical and updating methods to evaluate the current safety conditions of the historical Bôco Bridge.” Constr. Build. Mater. 158 (Jan): 961–984. https://doi.org/10.1016/j.conbuildmat.2017.10.084.
Bayraktar, A., A. C. Altunişik, F. Birinci, B. Sevim, and T. Türker. 2010. “Finite-element analysis and vibration testing of a two-span masonry arch bridge.” J. Perform. Constr. Facil. 24 (1): 46–52. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000060.
Binante, V., M. Girardi, C. Padovani, G. Pasquinelli, D. Pellegrini, M. Porcelli, and L. Robol. 2017. NOSA-ITACA 1.1 documentation. Pisa, Italy: Consiglio Nazionale delle Ricerche.
Brincker, R., and C. Ventura. 2015. Introduction to operational modal analysis. New York: Wiley.
Compán, V., P. Pachón, M. Cámara, P. B. Lourenço, and A. Sáez. 2017. “Structural safety assessment of geometrically complex masonry vaults by non-linear analysis: The chapel of the Würzburg residence (Germany).” Eng. Struct. 140: 1–13. https://doi.org/10.1016/j.engstruct.2017.03.002.
Conn, A. R., N. I. Gould, and P. L. Toint. 2000. Trust region methods. Philadelphia: Society for Industrial and Applied Mathematics.
Costa, C., A. Arêde, A. Costa, E. Caetano, A. Cunha, and F. Magalhães. 2015. “Updating numerical models of masonry arch bridges by operational modal analysis.” Int. J. Archit. Heritage 9 (7): 760–774. https://doi.org/10.1080/15583058.2013.850557.
De Falco, A., M. Girardi, D. Pellegrini, G. Sevieri, and L. Robol. 2018. “Model parameter estimation using Bayesian and deterministic approaches: The case study of the Maddalena bridge.” Procedia Struct. Integrity 11: 210–217. https://doi.org/10.1016/j.prostr.2018.11.028.
Demmel, J. W. 1997. Vol. 56 of Applied numerical linear algebra. Philadelphia: Society for Industrial and Applied Mathematics.
Ferraioli, M., L. Miccoli, and D. Abruzzese. 2018. “Dynamic characterisation of a historic bell-tower using a sensitivity-based technique for model tuning.” J. Civ. Struct. Health Monit. 8 (2): 1–17. https://doi.org/10.1007/s13349-018-0272-9.
Friswell, M., and J. E. Mottershead. 1995. Vol. 38 of Finite element model updating in structural dynamics. Dordrecht, Netherlands: Springer.
Girardi, M., C. Padovani, and D. Pellegrini. 2015. “The NOSA-ITACA code for the safety assessment of ancient constructions: A case study in Livorno.” Adv. Eng. Software 89 (Nov): 64–76. https://doi.org/10.1016/j.advengsoft.2015.04.002.
Girardi, M., C. Padovani, D. Pellegrini, and L. Robol. 2017. “NOSA-ITACA: A free FE program for historic masonry buildings.” In Proc., CoRASS 2017—Conf. on Recent Advances in Nonlinear Models—Design and Rehabilitation of Structures, edited by H. Barros, C. Ferreira, José M. Adam, and N. Delatte, 43–52. Coimbra, Portugal.
Girardi, M., C. Padovani, D. Pellegrini, M. Porcelli, and L. Robol. 2018a. “FEA for masonry structures and vibration-based model updating using NOSA-ITACA.” In Proc., 10th Int. Masonry Conf., edited by G. Milani, A. Taliercio, and S. Garrity. Milan, Italy.
Girardi, M., C. Padovani, D. Pellegrini, M. Porcelli, and L. Robol. 2018b. “Finite element model updating for structural applications.” Preprint, http://arxiv.org/abs/1801.09122.
Gucci, N., and A. De Falco. 2010. Il Fascino e la Funzione, il Ponte della Maddalena detto del diavolo. Lucca, Italy: Pacini Fazzi Editore.
Lucchesi, M., C. Padovani, G. Pasquinelli, and N. Zani. 2008. Masonry constructions: Mechanical models and numerical applications. Berlin: Springer.
Manos, C., N. Simos, and E. Kozikopoulos. 2016. “The structural performance of stone-masonry bridges.” In Structural bridge engineering, edited by S. Shahidan. London: IntechOpen.
Mares, C., M. I. Friswell, and J. E. Mottershead. 2002. “Model updating using robust estimation.” Mech. Syst. Signal Process. 16 (1): 169–183. https://doi.org/10.1006/mssp.2000.1375.
Mechanics of Materials and Structures Laboratory. 2019. “Software development 2011–2019.” Accessed April 15, 2019. https://www.nosaitaca.it/.
MIT (Ministero delle Infrastrutture e dei Trasporti). 2009. Istruzioni per l’applicazione delle Nuove norme tecniche per le costruzioni di cui al Decreto Ministeriale 14 gennaio 2008. Rome: MIT.
Padovani, C., G. Pasquinelli, and N. Zani. 2000. “A numerical method for solving equilibrium problems of no-tension solids subjected to thermal loads.” Comput. Methods Appl. Mech. Eng. 190 (1–2): 55–73. https://doi.org/10.1016/S0045-7825(99)00346-1.
Pellegrini, D., M. Girardi, C. Padovani, and R. M. Azzara. 2017. “A new numerical procedure for assessing the dynamic behaviour of ancient masonry towers.” In Proc., COMPDYN2017: 6th ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering. Athens, Greece: National Technical Univ. of Athens.
Porcelli, M., V. Binante, M. Girardi, C. Padovani, and G. Pasquinelli. 2015. “A solution procedure for constrained eigenvalue problems and its application within the structural finite-element code NOSA-ITACA.” Calcolo 52 (2): 167–186. https://doi.org/10.1007/s10092-014-0112-1.
Reynders, E., M. Schevenels, and G. De Roeck. 2014. “MACEC 3.3. A MATLAB toolbox for experimental and operational modal analysis.” Accessed April, 8, 2019. http://bwk.kuleuven.be/bwm/macec/.
Information & Authors
Information
Published In
Journal of Performance of Constructed Facilities
Volume 33 • Issue 4 • August 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jun 6, 2018
Accepted: Nov 28, 2018
Published online: May 31, 2019
Published in print: Aug 1, 2019
Discussion open until: Oct 31, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.