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Analytical study on dynamic response of cantilever flexible retaining wall

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Języki publikacji
EN
Abstrakty
EN
Based on wave mechanics theory, the dynamic response characteristics of cantilever flexible wall in two-dimensional site are analyzed. The partial derivative of the vibration equation of soil layer is obtained, and the general solution of the volume strain is obtained by the separation of variables method. The obtained solution is substituted back to the soil layer vibration equation to obtain the displacement vibration general solution. Combined with the soil-wall boundary condition and the orthogonality of the trigonometric function, the definite solution of the vibration equation is obtained. The correctness of the solution is verified by comparing the obtained solution with the existing simplified solution and the solution of rigid retaining wall, and the applicable conditions of each simplified solution are pointed out. Through parameter analysis, it is shown that when the excitation frequency is low, the earth pressure on the wall is greatly affected by the soil near the wall. When the excitation frequency is high, the influence of the far-field soil on the earth pressure of the wall gradually increases. The relative stiffness of the wall, the excitation frequency and the soil layer damping factor have a significant effect on the dynamic response of the flexible retaining wall.
Twórcy
autor
  • Central South University, School of Civil Engineering, Changsha, China
autor
  • Central South University, School of Civil Engineering, Changsha, China
autor
  • Central South University, School of Civil Engineering, Changsha, China
autor
  • Central South University, School of Civil Engineering, Changsha, China
Bibliografia
  • [1] J. Mousavi and S. Tariverdilo, “Tuning mass of internal flexible wall to reduce seismic demand on exterior walls of liquid storage tanks”, Engineering Structures, vol. 101, no. 15, pp. 279-289, 2015, doi: 10.1016/j.engstruct.2015.07.011.
  • [2] O.L. Ertugrul and A.C. Trandafir, “Seismic earth pressures on flexible cantilever retaining walls with deformable inclusions”, Journal of Rock Mechanics and Geotechnical Engineering, vol. 6, no. 5, pp. 417-427, 2014, doi: 10.1016/j.jrmge.2014.07.004.
  • [3] J.S. Xu, X.L. Du, and X.L. Yang, “Stability analysis of 3D geosynthetic-reinforced earth structures composed of nonhomogeneous cohesive backfills”, Soil Dynamics and Earthquake Engineering, vol. 126, art. no. 105768, 2019, doi: 10.1016/j.soildyn.2019.105768.
  • [4] M. Grodecki, “Numerical modelling of gabion retaining wall under loading and unloading”, Archives of Civil Engineering, vol. 67, no. 2, pp. 155-164, 2021, doi: 10.24425/ace.2021.137160.
  • [5] A. Bahrami and M. Yavari, “Analysis of composite shear walls with a gap between reinforced concrete wall and steel frame”, Archives of Civil Engineering, vol. 66, no. 1, pp. 41-53, 2020, doi: 10.24425/ace.2020.131773.
  • [6] R.B. Han, C.S. Xu, Z.G. Xu, et al., “A boundary forced response displacement method for seismic analysis of symmetrical underground structures”, Engineering Mechanics, vol. 38, no. 5, pp. 50-60, 2021, doi: 10.6052/ j.issn.1000-4750.2020.02.0075.
  • [7] J.B. Liu, D.Y. Wang, et al., “Theorectical derivation and consistency proof of the integral response deformation method”, China Civil Engineering Journal, vol. 52, no. 8, pp. 18-23, 2019, doi: 10.15951/j.tmgcxb.2019.08.002.
  • [8] Z.D. Gao, M. Zhao, X.L. Du, and Z. Zhong, “A generalized response spectrum method for seismic response analysis of underground structure combined with viscous spring artificial boundary”, Soil Dynamics and Earthquake Engineering, vol. 140, art. no. 106451, 2021, doi: 10.1016/j.soildyn.2020.106451.
  • [9] D. P. Qiu, J. Y. Chen, and Q. Xu, “Improved pushover analysis for underground large-scale frame structures based on structural dynamic responses”, Tunnelling and Underground Space Technology, vol. 103, art. no. 103405, 2020, doi: 10.1016/j.tust.2020.103405.
  • [10] V.G. Kitsis, G.A. Athanasopoulos, and A. Athanasopoulos-Zekkos, “Earth retaining walls with backfill possessing cohesion-Numerical analyses of seismic behavior”, Soil Dynamics and Earthquake Engineering, vol. 160, art. no. 107368, 2022, doi: 10.1016/j.soildyn.2022.107368.
  • [11] A.S. Veletsos and A.H. Younan, “Dynamic response of cantilever retaining walls”, Journal of Geotechnical and Geoenvironmental Engineering, vol. 123, no. 2, pp. 161-172, 1997, doi: 10.1061/(ASCE)1090-0241(1997)123:2(161).
  • [12] A.H. Younan and A.S. Veletsos, “Dynamic response of flexible retaining walls”, Earthquake Engineering and Structural Dynamics, vol. 29, no. 12, pp. 1815-1844, 2000, doi: 10.1002/1096-9845(200012)29:12<1815::AID-EQE993>3.0.CO;2-Z.
  • [13] D.D. Theodorakopoulos, A.P. Chassiakos, and D.E. Beskos, “Dynamic pressures on rigid cantilever walls retaining poroelastic soil meida. Part ?: first method of solution”, Soil Dynamics and Earthquake Engineering, vol. 21, no. 4, pp. 315-338, 2001, doi: 10.1016/S0267-7261(01)00009-4.
  • [14] L. Lanzoni, E. Radi, and A. Tralli, “On the seismic response of a flexible wall retaining a viscous poroelastic soil”, Soil Dynamics and Earthquake Engineering, vol. 27, pp. 818-842, 2007, doi: 10.1016/j.soildyn.2007.01.009.
  • [15] Q.J. Liu, Y.X. Tian, and F.J. Deng, “Dynamic analysis of flexible cantilever wall retaining elastic soil by a modified Vlasov-Leontiev model”, Soil Dynamics and Earthquake Engineering, vol. 63, pp. 217-225, 2014, doi: 10.1016/j.soildyn.2014.03.019.
  • [16] Q.J. Liu, “Modal analysis for kinematic response of flexible cantilever retaining wall”, Soils and Foundations, vol. 56, no. 3, pp. 399-411, 2016, doi: 10.1016/j.sandf.2016.04.007.
  • [17] S.J. Brandenberg, G. Mylonakis, and J.P. Stewart, “Approximate solution for seismic earth pressure on rigid walls retaining in homogeneous elastic soil”, Soil Dynamics and Earthquake Engineering, vol. 97, pp. 468-477, 2017, doi: 10.1016/j.soildyn.2017.03.028.
  • [18] W.H. Ke, W.J. Luo, T. Fang, et al., “A simple closed-form solution for kinematic responses of retaining wall incorporating the effects of shear stiffness of soils”, Soil Dynamics and Earthquake Engineering, vol. 134, art. no. 106163, 2020, doi: 10.1016/j.soildyn.2020.106163.
  • [19] S. Zhao, J. Yu, X. Liu, et al., “Analytical study on dynamic response of cantilever underground rigid wall”, Rock and Soil Mechanics, vol. 43, no. 1, pp. 152-159, 2022, doi: 10.16285/j.rsm.2021.0690.
  • [20] J. Yu, Y. He, L. Zhang, et al., “Dynamical characteristics of piles in liquefied soil under horizontal vibration”, Chinese Journal of Geotechnical Engineering, vol. 39, no. 3, pp. 573-580, 2017, doi: 10.11779/CJGE201703023.
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Bibliografia
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