A new numerical procedure for assessing the dynamic behaviour of ancient masonry towers
Author(s)
Type
Conference paper
Language
English
Obiettivo Specifico
4T. Sismologia, geofisica e geologia per l'ingegneria sismica
Editor(s)
Status
Published
Date Issued
June 2017
Conference Location
COMPDYN 2017
6 th ECCOMAS Thematic Conference on
Computational Methods in Structural Dynamics and Earthquake Engineering
M. Papadrakakis, M. Fragiadakis (eds.)
Rhodes Island, Greece, 15–17 June, 2017
6 th ECCOMAS Thematic Conference on
Computational Methods in Structural Dynamics and Earthquake Engineering
M. Papadrakakis, M. Fragiadakis (eds.)
Rhodes Island, Greece, 15–17 June, 2017
Publisher
Eccomas Proceedia
Subjects
Structural Health Monitoring
Abstract
The paper presents a new numerical procedure for the modal analysis of ma-
sonry structures implemented in the finite element code NOSA-ITACA, which models masonry
as a nonlinear elastic material with zero tensile strength and infinite or bounded compressive
strength. The procedure, which allows for taking into account the effects of the stress field
and crack distribution within a structure on its natural frequencies and mode shapes, is ap-
plied to assess the dynamic behaviour of a medieval bell tower in Lucca. Data recorded by
the monitoring system installed on the tower have been processed via suitable modal identifi-
cation algorithms, which have enabled calculating the tower’s modal frequencies, mode shapes
and damping ratios. Then, the tower has been analysed via the NOSA-ITACA code and model
updating techniques applied to fit the data measured on the tower. The results of the standard
modal analysis have been compared to those of modal analyses conducted on the structure
subjected to its own weight while taking into account the corresponding crack distribution.
sonry structures implemented in the finite element code NOSA-ITACA, which models masonry
as a nonlinear elastic material with zero tensile strength and infinite or bounded compressive
strength. The procedure, which allows for taking into account the effects of the stress field
and crack distribution within a structure on its natural frequencies and mode shapes, is ap-
plied to assess the dynamic behaviour of a medieval bell tower in Lucca. Data recorded by
the monitoring system installed on the tower have been processed via suitable modal identifi-
cation algorithms, which have enabled calculating the tower’s modal frequencies, mode shapes
and damping ratios. Then, the tower has been analysed via the NOSA-ITACA code and model
updating techniques applied to fit the data measured on the tower. The results of the standard
modal analysis have been compared to those of modal analyses conducted on the structure
subjected to its own weight while taking into account the corresponding crack distribution.
References
[1] W. Ren, G. De Roeck, Structural Damage Identification using Modal Data. I: Simulation
Verification. Journal of Structural Engineering, 128(1), 87–95, 2002.
[2] W. Ren, G. De Roeck, Structural Damage Identification using Modal Data. II: Test Verification. Journal of Structural Engineering, 128(1), 96–104, 2002.[3] M. Jayanthan, V. Srinivas, Structural Damage Identification Based on Finite Element
Model Updating. Journal of Mechanical Engineering and Automation, 5(3B), 59–63,
2015.
[4] P. Pineda, Collapse and upgrading mechanisms associated to the structural materials of
a deteriorated masonry tower. Nonlinear assessment under different damage and loading
levels. Engineering Failure Analysis, 63, 72–93, 2016.
[5] L.F. Ramos, G. De Roeck, P.B. Loureno, A. Campos–Costa, Damage identification on
arched masonry structures using ambient and random impact vibrations. Engineering
Structures, 32, 146–162, 2010.
[6] T.T. Bui, A. Limam, Q.B. Bui, Characterisation of vibration and damage in masonry struc-
tures: experimental and numerical analysis. European Journal of Environmental and Civil
Engineering, 18(10), 1118–1129. 2014.
[7] E. Cakti, O. Saygili, J.V. Lemos , C.S. Oliveira, A parametric study of the earthquake
behaviour of masonry minarets. Proceedings of the Tenth U.S. National Conference on
Earthquake Engineering Frontiers of Earthquake Engineering, 10NCEE, Anchorage,
Alaska, July 21-25, 2014.
[8] M. Girardi, M. Lucchesi, Free flexural vibrations of masonry beam–columns. Journal of
Mechanics of Materials and Structures, 5(1), 143–159, 2010.
[9] G. Del Piero, Constitutive equations and compatibility of external loads for linear elastic
masonry–like materials. Meccanica, 24, 150–162, 1989.
[10] S. Di Pasquale, New trends in the analysis of masonry structures. Meccanica, 27, 173–184,
1992.
[11] M. Lucchesi, C. Padovani, G. Pasquinelli, N. Zani, Masonry constructions: mechanical
models and numerical applications. Lecture Notes in Applied and Computational Me-
chanics, Springer–Verlag. 2008.
[12] V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, D. Pellegrini, M. Porcelli, NOSA-
ITACA 1.0 documentation. http://www.nosaitaca.it/software/, 2014.
[13] M. Girardi, C. Padovani, D. Pellegrini, Modal analysis of masonry structures.
arXiv:1611.00531v1 [cs.CE], 2 November 2016.
[14] R. Brincker, C. Ventura, Introduction to Operational Modal Analysis. John Wiley & Sons,
2015.
[15] R.M. Azzara, M. Girardi, C. Padovani, D. Pellegrini, The Medieval Clock Tower in Lucca:
dynamic monitoring and numerical analysis. Internal Report ISTI, 2017.
[16] M. Porcelli, V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, A solution procedure for
constrained eigenvalue problems and its application within the structural finite-element
code NOSA–ITACA. Calcolo, 52(2), 167–186, 2015.
Verification. Journal of Structural Engineering, 128(1), 87–95, 2002.
[2] W. Ren, G. De Roeck, Structural Damage Identification using Modal Data. II: Test Verification. Journal of Structural Engineering, 128(1), 96–104, 2002.[3] M. Jayanthan, V. Srinivas, Structural Damage Identification Based on Finite Element
Model Updating. Journal of Mechanical Engineering and Automation, 5(3B), 59–63,
2015.
[4] P. Pineda, Collapse and upgrading mechanisms associated to the structural materials of
a deteriorated masonry tower. Nonlinear assessment under different damage and loading
levels. Engineering Failure Analysis, 63, 72–93, 2016.
[5] L.F. Ramos, G. De Roeck, P.B. Loureno, A. Campos–Costa, Damage identification on
arched masonry structures using ambient and random impact vibrations. Engineering
Structures, 32, 146–162, 2010.
[6] T.T. Bui, A. Limam, Q.B. Bui, Characterisation of vibration and damage in masonry struc-
tures: experimental and numerical analysis. European Journal of Environmental and Civil
Engineering, 18(10), 1118–1129. 2014.
[7] E. Cakti, O. Saygili, J.V. Lemos , C.S. Oliveira, A parametric study of the earthquake
behaviour of masonry minarets. Proceedings of the Tenth U.S. National Conference on
Earthquake Engineering Frontiers of Earthquake Engineering, 10NCEE, Anchorage,
Alaska, July 21-25, 2014.
[8] M. Girardi, M. Lucchesi, Free flexural vibrations of masonry beam–columns. Journal of
Mechanics of Materials and Structures, 5(1), 143–159, 2010.
[9] G. Del Piero, Constitutive equations and compatibility of external loads for linear elastic
masonry–like materials. Meccanica, 24, 150–162, 1989.
[10] S. Di Pasquale, New trends in the analysis of masonry structures. Meccanica, 27, 173–184,
1992.
[11] M. Lucchesi, C. Padovani, G. Pasquinelli, N. Zani, Masonry constructions: mechanical
models and numerical applications. Lecture Notes in Applied and Computational Me-
chanics, Springer–Verlag. 2008.
[12] V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, D. Pellegrini, M. Porcelli, NOSA-
ITACA 1.0 documentation. http://www.nosaitaca.it/software/, 2014.
[13] M. Girardi, C. Padovani, D. Pellegrini, Modal analysis of masonry structures.
arXiv:1611.00531v1 [cs.CE], 2 November 2016.
[14] R. Brincker, C. Ventura, Introduction to Operational Modal Analysis. John Wiley & Sons,
2015.
[15] R.M. Azzara, M. Girardi, C. Padovani, D. Pellegrini, The Medieval Clock Tower in Lucca:
dynamic monitoring and numerical analysis. Internal Report ISTI, 2017.
[16] M. Porcelli, V. Binante, M. Girardi, C. Padovani, G. Pasquinelli, A solution procedure for
constrained eigenvalue problems and its application within the structural finite-element
code NOSA–ITACA. Calcolo, 52(2), 167–186, 2015.
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