Abstract
The nonlinear dynamic response of the ashlar masonry arch is obtained for harmonic support excitations. The UDEC software is used for performing the analysis which duly accounts for the non-linearity arising due to the friction existing between the two ashlar masonry block units. The analysis is performed for two frequencies and five peak ground acceleration (PGA) levels assuming the support excitation to be harmonic. Deformation of the arch is mapped with the help of the displacements of the centroids of the arch masonry block units. The dynamic behavior and stability of the arch are investigated under two parametric variations, namely, the PGA and height to span (H/L) ratio of the arch. The analysis shows that the failure of arch takes place with bulging near the end segments of the arch creating large gaps between the ashlar masonry units. Further, as the frequency of excitation is increased, the arch becomes more stable; it also appears that there exists an optimum value of the H/L ratio for which the dynamic stability of the arch is maximum.
This is a preview of subscription content, access via your institution.















References
Brookes, C. L., & Mehrkar-Asl, S. (1998). Numerical modelling of masonry using discrete elements. In E. D. Booth (Ed.), Seismic Design Practice into the Next Century (pp. 131–137). Rotterdam: Balkema.
Cundall, P.A. (1971). A computer model for simulating progressive, large-scale movements in blocky rock systems. In: Proceedings of the International Symposium on Rock Mechanics. Nancy, France: 129–136
Gilbert, M., & Melbourne, C. (1994). Rigid-block analysis of masonry structures. The Structural Engineer, 72(21), 356–361.
Lemos, J.V. (1995). Assessment of the ultimate load of a masonry arch using discrete elements. In Computer Methods in Structural Masonry—3, eds., J. Middleton and G. N. Pande. Swansea: Books & Journals International, 294–302
Lemos, J.V. (1997). Discrete element modeling of historical structures, Proc. Interantional Conf. New Technologies in Structural Enigneering, 2, Lisob, 1099–1106.
Lemos, J.V. (1998a). Discrete element modelling of the seismic behaviour of stone masonry arches. In Computer Methods in Structural Masonry — 4, eds., G.N. Pande, J. Middleton, and B. Kralj. London: E & FN Spon, 220–227
Lemos, J. V. (2007). Discrete Element Modeling of Masonry Structures. International Journal of Architectural Heritage, 1(2), 190–213.
Lemos, J.V, Azevedo, F.S., Oliveira, C.S., & Sincraian, G. (1988b). Three-dimensional analysis of a block masonry pillar using discrete elements, Proc. Monument-98, Workshop on Seismic Performance of Monuments, Lisbon, Portugal, 117–126.
Pagnoni, T. (1994). Seismic analysis of masonry and block structures with the discrete element method, In Proceedings of the 10th European Conference on Earthquake Engineering, ed. G. Duma. Rotterdam: Balkema, vol. 3, 1669–1674
Pagnoni, T., & Vanzi, I. (1995). Experimental and numerical study of the seismic response of block structures. Computer methods in structural masonry, 213–222
Papantonopoulos, C., Psycharis, N., Papastamatiou, D. Y., Lemos, J. V., & Mouzakis, H. P. (2002). Numerical prediction of the earthquake response of classical columns using the distinct element method. Earthquake Engineering and Structural Dynamics, 31, 1699–1717.
Shabrawi, Atef El & Verdel, T. (1995). Failure modes of old masonry walls and arches under seismic loading, European Seismic Design practice, Elnashai (ed.), Balkema, Rotterdam, 463–468
Winkler, T., Meguro, K., & Yamazaki, F. (1995). Response of rigid body assemblies to dynamic excitation. Earthquake Engineering and Structural Dynamics, 24(10), 1389–1408.
Funding
This research did not receive any specific Grant from funding agencies in the public, commercial, or not-for-profit sectors.
Author information
Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Sharma, R., Bharti, S.D., Shrimali, M.K. et al. Dynamic response of dry ashlar masonry arch using discrete element method. Asian J Civ Eng (2021). https://doi.org/10.1007/s42107-020-00345-w
Received:
Accepted:
Published:
Keywords
- Dynamic response
- Ashlar masonry
- Masonry arch
- Dynamic stability
- Harmonic excitation