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Nonlinear Degradation Analysis of Arch-Dam Blocks by Using Deterministic and Probabilistic Seismic Input

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Abstract

Purpose

This paper aims to define the non-linear response for concrete arch gravity dams, considering seismic actions as main external destabilizing actions.

Methods

The plastic degradation theory has been used to define the reduction of the elasto-plastic modulus during the hysteretic cycles. The parameters to apply the model are obtained from the literature and numerical analysis. In this sense, working with a reduction of the elasto-plastic modulus is useful to define the displacement of the structure. The seismic input has been obtained from probabilistic and deterministic seismic hazard analyses. For that, a series of several earthquakes have been chosen to perform the time–history analysis. The response of the structure blocks under four earthquakes has been made using a step-by-step direct integration. An application to Rules Dam has been made to test the method.

Results and conclusions

Results of the seismic analysis provide several specific accelerations for concrete arch gravity dams. Results of the structural show that in 2D analysis the maximum non-linear dam displacements reach value up to 27 cm, whereas for 3D analysis they reach up to 7 cm. Moreover, these cyclic displacements produce several accumulations of plastic deformations and cracks.

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Acknowledgements

The first author acknowledges the Servicios Informáticos CPD of the University of Salamanca for the Mathematica software license. The third author acknowledges support by CNPq, a Brazilian research funding agency.

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Authors and Affiliations

  1. Higher Polytechnic School of Ávila, University of Salamanca (USAL), 50 Hornos Caleros, Ávila, Salamanca, Spain

    Enrico Zacchei & José Luis Molina

  2. Polytechnic School of São Paulo, University of São Paulo (USP), 380 Prof. Luciano Gualberto, São Paulo-SP, Brazil

    Reyolando M. L. R. F. Brasil

Authors
  1. Enrico Zacchei
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  2. José Luis Molina
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  3. Reyolando M. L. R. F. Brasil
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Correspondence to Enrico Zacchei.

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Zacchei, E., Molina, J.L. & Brasil, R.M.L.R.F. Nonlinear Degradation Analysis of Arch-Dam Blocks by Using Deterministic and Probabilistic Seismic Input. J. Vib. Eng. Technol. 7, 301–309 (2019). https://doi.org/10.1007/s42417-019-00112-5

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  • DOI: https://doi.org/10.1007/s42417-019-00112-5

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