Abstract
The use of supercomputer technologies to determine the earthquake resistance of structures is relevant in connection with construction in earthquake-prone regions. In this paper, to determine the seismic resistance of bridges, it is proposed to use a novel grid-characteristic method on systems of combined separate conformal structured regular and curvilinear computational grids in order to reduce the cost of computing resources. This numerical method allows to take into account the features of the propagation and re-reflection of seismic waves within the structure, however, it requires the use of substantially detailed computational grids and detailed time discretization. Therefore, the challenge of the cost of computing resources is acute even for two-dimensional calculations. The challenge of constructing the used computational grids also arises. The paper describes in detail the approach to construct these computational grids. In particular, the proposed analytical expressions are presented that allow one to reduce computational resources for constructing curvilinear structured computational grids and ensure their conformity. As test examples, the earthquake stability of bridges over a river and bridges over a highway was calculated. The design parameters of the bridges were varied, the impact of the water level and river width on the nature of the damage was investigated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Yaghin, M.L., Hesari, M.A.: Dynamic analysis of the arch concrete dam under earthquake force with ABAQUS. J. Appl. Sci. 8(15), 2648–2658 (2008)
Xunqiang, Y., Jianbo, L., Chenglin, W., Gao, L.: ANSYS implementation of damping solvent stepwise extraction method for nonlinear seismic analysis of large 3-D structures. Soil Dyn. Earthquake Eng. 44, 139–152 (2013)
Ozutsumi, O., Sawada, S., Iai, S., Takeshima, Y., Sugiyama, W., Shimazu, T.: Effective stress analyses of liquefaction-induced deformation in river dikes. Soil Dyn. Earthquake Eng. 22, 1075–1082 (2002)
Oka, F., Tsai, P., Kimoto, S., Kato, R.: Damage patterns of river embankments due to the 2011 off the Pacific Coast of Tohoku earthquake and a numerical modeling of the deformation of river embankments with a clayey subsoil layer. Soils Found. 52(5), 890–909 (2012)
Boulanger, R.W., Montgomery, J., Ziotopoulou, K.: Nonlinear deformation analyses of liquefaction effects on embankment dams. In: Ansal, A., Sakr, M. (eds.) Perspectives on Earthquake Geotechnical Engineering, pp. 247–283. Springer, Switzerland (2015)
Boulanger, R.W., Montgomery, J.: Nonlinear deformation analyses of an embankment dam on a spatially variable liquefiable deposit. Soil Dyn. Earthquake Eng. 91, 222–233 (2016)
Cravero, J., Elkady, A., Lignos, D.G.: Experimental evaluation and numerical modeling of wide-flange steel columns subjected to constant and variable axial load coupled with lateral drift demands. J. Struct. Eng. 146(3), 04019222.1–04019222.19 (2019)
Christian, J.T., Urzúa, A.: Anomalies in pseudostatic seismic stability analysis. J. Geotechn. Geoenviron. Eng. 143(5), 06017001.1–06017001.3 (2017)
Makris, N., Kampas, G.: Size versus slenderness: two competing parameters in the seismic stability of free-standing rocking columns. Bull. Seismol. Soc. Am. 106(1), 104–122 (2016)
Makris, N.: The role of the rotational inertia on the seismic resistance of free-standing rocking columns and articulated frames. Bull. Seismol. Soc. Am. 104, 2226–2239 (2014)
Makris, N., Vassiliou, M. F.: Are some top-heavy structures more stable? J. Struct. Eng. 140(5), 06014001.1–06014001.5 (2014)
Pan, Q., Dias, D.: Three-dimensional static and seismic stability analysis of a tunnel face driven in weak rock masses. Int. J. Geomech. 18(6), 04018055.1–04018055.10 (2018)
Favorskaya, A.V., Zhdanov, M.S., Khokhlov, N.I., Petrov, I.B.: Modeling the wave phenomena in acoustic and elastic media with sharp variations of physical properties using the grid-characteristic method. Geophys. Prospect. 66(8), 1485–1502 (2018)
Golubev, V.I., Petrov, I.B., Khokhlov, N.I.: Numerical simulation of seismic activity by the grid-characteristic method. Comput. Math. Math. Phys. 53(10), 1523–1533 (2013)
Favoskaya, A.V., Petrov, I.B.: Calculation the earthquake stability of various structures using the grid-characteristic method. Radioelektronika, Nanosistemy, Informacionnye Tehnologii 11(2), 345–350 (2019)
Favorskaya, A., Golubev, V., Khokhlov, N.: Two approaches to the calculation of air subdomains: theoretical estimation and practical results. Procedia Comput. Sci. 126, 1082–1090 (2018)
Breus, A., Favorskaya, A., Golubev, V., Kozhemyachenko, A., Petrov, I.: Investigation of seismic stability of high-rising buildings using grid-characteristic method. Procedia Comput. Sci. 154, 305–310 (2019)
Favorskaya, A.V., Breus, A.V., Galitskii, B.V.: Application of the grid-characteristic method to the seismic isolation model. In: Petrov, I., Favorskaya, A., Favorskaya, M., Simakov, S., Jain, L. (eds.) Smart Modeling for Engineering Systems. GCM50 2018, SIST, vol. 133, pp. 167–181. Springer, Cham (2019)
Acknowledgements
This work has been performed at Moscow Institute of Physics and Technology with the financial support of the Russian Science Foundation, grant no. 17-71-20088. This work has been carried out using computing resources of the federal collective usage center Complex for Simulation and Data Processing for Mega-science Facilities at NRC “Kurchatov Institute”, http://ckp.nrcki.ru/.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Favorskaya, A. (2020). Computation the Bridges Earthquake Resistance by the Grid-Characteristic Method. In: Czarnowski, I., Howlett, R., Jain, L. (eds) Intelligent Decision Technologies. IDT 2020. Smart Innovation, Systems and Technologies, vol 193. Springer, Singapore. https://doi.org/10.1007/978-981-15-5925-9_15
Download citation
DOI: https://doi.org/10.1007/978-981-15-5925-9_15
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-5924-2
Online ISBN: 978-981-15-5925-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)