The Evaluation of Dynamic Response of Reservoir - Gravity Dam-Foundation System Using SBFEM

Abstract:

The dynamic response of reservoir-gravity dam-foundation interaction is calculated using the scaled boundary finite element method (SBFEM) in frequency domain. The transmitting boundary for the structure-unbounded foundation interaction analysis in frequency domain is used. The lingering effect of the unbounded foundation on the earthquake response of the dam is analyzed. Characteristics of several approximate models developed in the literature are investigated and compared. The results show that the dynamic stress modeled by mass-less foundation overestimate the earthquake response of the dam and the maximum stress considering the effect of the lingering effect is more than that of no lingering effect.

• Periodical: Applied Mechanics and Materials (Volume 846)
• Pages: 176-181
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.846.176
• Online since: July 2016
• Authors: Jun Yu Liu*, Gao Lin, Ping Zhang, Yu Yang Wang
• Keywords: Dynamic Structure-Foundation Interaction, Gravity Dam, Scaled Boundary Finite Element Method, Transmitting Boundary, Unbounded Domain

References

[1] Wolf J P, Song C M. Finite-Element Modelling of Unbounded Media [M] . New York: Wiley, (1996).

[2] Song C, Wolf J P. The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics [J]. Computer Methods in Applied Mechanics and Engineering, 1997, 147(3-4): 329-355.

DOI: 10.1016/s0045-7825(97)00021-2

[3] Wolf J P. The scaled boundary finite element method [M]. Chichester: John Wiley and Sons, (2003).

[4] Lin G, Du J G, Hu Z Q, et al. Earthquake Analysis Including the Effects of Foundation Inhomogeneity [J]. Frontiers of Architecture and Civil Engineering in China. 2007, 1(1): 41-50.

DOI: 10.1007/s11709-007-0004-4

[5] Bazyar M H, Song C. Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method [J]. Earthquake Engineering and Structural Dynamics, 2006, 35: 1787-1806.

DOI: 10.1002/eqe.606

[6] Bazyar M H, Song C. Time-harmonic response of non-homogeneous anisotropic unbounded domains using the scaled boundary finite-element method [J]. Earthquake Engineering and Structural Dynamics, 2006, 35: 357-383.

DOI: 10.1002/eqe.526

[7] Song C, Bazyar M H. A boundary condition in Padé series for frequency-domain solution of wave propagation in unbounded domains[J]. International Journal for Numerical Methods in Engineering, 2006, 69: 2330-2358.

DOI: 10.1002/nme.1852

[8] Bazyar M H, Song C. A continued-fraction based high-order transmitting boundary for wave propagation in unbounded domains of arbitrary geometry [J]. International Journal for Numerical Methods in Engineering, 2008, 74(2): 209-237.

DOI: 10.1002/nme.2147

[9] Shan Lu, Jun Liu, Gao Lin. High performance of the scaled boundary finite element method applied to the inclined soil field in time domain. Engineering Analysis with Boundary Elements, 2015, 56: 1-19.

DOI: 10.1016/j.enganabound.2015.01.014

[10] Xiaojun Chen, Carolin Birk , ChongminSong. Time-domain analysis of wave propagation in 3-Dunbounded domains by the scaled boundary finite element method [J]. Soil Dynamics and Earthquake Engineering , 2015, 75: 171-182.

DOI: 10.1016/j.soildyn.2015.04.009

[11] Wolf J P. Dynamic soil-structure interaction [M]. New Jersey: Prentice-Hall, (1985).

[12] Jin Feng, Zhang Chunhan, Wang Guanglun. A coupling FE-BE-IBE model for structure-foundation interactions. Journal of TSINGHUA University 1993; 33(2): 17-24. (in Chinese).

[13] Liu Jingbo, Lu Yandong. A direct method for analysis of dynamic soil-structure interaction. Chinese civil engineering 1998; 31(3): 55-64. (in Chinese).

[14] Liao Zhenpeng. Normal transmitting boundary conditions. Science in China (Series E) 1996, 26(2): 185-192. (in Chinese).