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Estimation of Stresses in a Dry Sand Layer Tested on Shaking Table

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EN
Abstrakty
EN
Theoretical analysis of shaking table experiments, simulating earthquake response of a dry sand layer, is presented. The aim of such experiments is to study seismic-induced compaction of soil and resulting settlements. In order to determine the soil compaction, the cyclic stresses and strains should be calculated first. These stresses are caused by the cyclic horizontal acceleration at the base of soil layer, so it is important to determine the stress field as function of the base acceleration. It is particularly important for a proper interpretation of shaking table tests, where the base acceleration is controlled but the stresses are hard to measure, and they can only be deduced. Preliminary experiments have shown that small accelerations do not lead to essential settlements, whilst large accelerations cause some phenomena typical for limit states, including a visible appearance of slip lines. All these problems should be well understood for rational planning of experiments. The analysis of these problems is presented in this paper. First, some heuristic considerations about the dynamics of experimental system are presented. Then, the analysis of boundary conditions, expressed as resultants of respective stresses is shown. A particular form of boundary conditions has been chosen, which satisfies the macroscopic boundary conditions and the equilibrium equations. Then, some considerations are presented in order to obtain statically admissible stress field, which does not exceed the Coulomb-Mohr yield conditions. Such an approach leads to determination of the limit base accelerations, which do not cause the plastic state in soil. It was shown that larger accelerations lead to increase of the lateral stresses, and the respective method, which may replace complex plasticity analyses, is proposed. It is shown that it is the lateral stress coefficient K0 that controls the statically admissible stress field during the shaking table experiments.
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  • Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Kościerska 7, 80-328 Gdańsk, Poland, as@ibwpan.gda.pl
Bibliografia
  • s. 101–112, Bibliogr. 12 poz., il.
  • 1. Chen W. F. (1975) Limit Analysis and Soil Plasticity, Elsevier, Amsterdam.
  • 2. Derski W., Izbicki R., Kisiel I., Mróz Z. (1988) Rock and Soil Mechanics, PWN Warsaw & Elsevier, Amsterdam/Oxford/New York/Tokyo.
  • 3. Dolce M., Cardone D., Ponzo F. C., Valente C. (2005) Shaking table tests on reinforced concrete frames without and with passive control systems, Earthquake Engineering and Structural Dynamics, 34, 1687–1717, doi: 10.1002/eqe.501.
  • 4. Jankowski R. (2010a) Experimental study on earthquake-induced pounding between structural elements made of different building materials, Earthquake Engineering and Structural Dynamics, 39, 343–354. doi: 10.1002/eqe.941.
  • 5. Jankowski R. (2010b) Shaking table experimental study on diagnosis of damage and its evaluation in steel structure, Key Engineering Materials, 417–418: 157–160, doi: 10.428/www.scientific.net/KEM. 417-418.157.
  • 6. Koga Y., Matsuo O. (1990) Shaking table tests of embankments resting on liquefiable sandy ground, Soils and Foundations, 30, 162–174.
  • 7. Lambe T. W., Whitman R. V. (1969) Soil Mechanics, J. Wiley & Sons, N. York/London/Sydney/Toronto, Polish translation (1977) Arkady, Warsaw.
  • 8. Midorikawa M., Azuhata T., Ishihara T., Wada A. (2006) Shaking table tests on seismic response of steel braced frames with column uplift, Earthquake Engineering and Structural Dynamics, 35, 1767–1785, doi: 10.1002/eqe.603.
  • 9. Prasad S. K., Towhata I., Chandradhara G. P., Nanjundaswamy P. (2004) Shaking table tests in earthquake geotechnical engineering, Current Science, 87 (10), 1398–1404.
  • 10. Sawicki A., Chybicki W. (2005) Horizontal motion of a rigid block resting on accelerating subsoil, Archives of Hydro-Engineering & Environmental Mechanics, 52 (2), 147–160.
  • 11. Sawicki A., Chybicki W., Kulczykowski M. (2007) Influence of vertical ground motion on seismic-induced displacements of gravity structures, Computers & Geotechnics, 34, 485–497, doi:10.1016/j.compgeo.2006.12.002.
  • 12. Sawicki A., SwidzinskiW. (1989) Mechanics of a sandy subsoil subjected to cyclic loadings. Int. Jnl for Numerical and Analytical Methods in Geomechanics, 13, 511–529, doi: 10.1002/nag.1610130505.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATA-0019-0025
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