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Abstrakty
A three-dimensional modeling approach is proposed to examine the dynamic interaction response of two foundations subjected to obliquely incident harmonic seismic waves (P, shear vertical, and shear horizontal waves). The two foundations are positioned on the surface of a uniform viscoelastic soil layer, underlain by a substratum. The dynamic response of the rigid foundations is determined by solving the wave equations, taking the soil–foundation interaction into account. The mathematical method employed is based on integral equations in the frequency domain, utilizing Green's function formalism presented by Kausel and Peek in 1982 for a multi layered soil. The solution is obtained using the frequency domain boundary element method, with Green's functions derived through the thin layer method. By discretizing the soil–foundation interface into quadrilateral constant elements, these equations are transformed into algebraic form, simplifying the force–displacement relationship within the discretized domain into a system of linear equations. This approach was applied to assess the impact of soil–structure interaction on the seismic response of two foundations, using the interaction coefficients proposed by Dobry and Gazetas in 1988. The results are presented in terms of displacement, rotation, and torsion at the center of the two massless surface foundations.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
103--120
Opis fizyczny
Bibliogr. 24 poz., rys.
Twórcy
Bibliografia
- [1] E. Kausel, R. V. Whitman, J. P. Morray and F. Elsabee, The spring method for embedded foundations, Nuclear Eng. Design 48 (1978) 377–392.
- [2] D. Aubry and D. Clouteau, A subdomain approach to dynamic soil–structure interaction, in: V. Davidovici, R. W. Clough (Eds.), Recent advances in Earth. Eng. Struct. Dynam. (1992) 251–272.
- [3] Messioud, S., Sbartai, B., & Dias, D. (2016). Seismic response of a rigid foundation embedded in a viscoelastic soil by taking into account the soil-foundation interaction. Structural Engineering and Mechanics, 58(5), 887-903.
- [4] Wong, H. L., & Luco, J. E. (1978). Dynamic response of rectangular foundations to obliquely incident seismic waves. Earthquake Engineering & Structural Dynamics, 6(1), 3-16.
- [5] Qian, J., & Beskos, D. E. (1996). Harmonic wave response of two 3-D rigid surface foundations. Soil Dynamics and Earthquake Engineering, 15(2), 95-110.
- [6] Tham, L. G., Qian, J., & Cheung, Y. K. (1998). Dynamic response of a group of flexible foundations to incident seismic waves. Soil Dynamics and Earthquake Engineering, 17(2), 127- 137.
- [7] Karabalis, D. L., & Mohammadi, M. (1998). 3-D dynamic foundation-soil-foundation interaction on layered soil. Soil Dynamics and Earthquake Engineering, 17(3), 139-152.
- [8] Chen, L. (2016). Dynamic interaction between rigid surface foundations on multi-layered half space. International Journal of Structural Stability and Dynamics, 16(05), 1550004
- [9] Sbartai, B. (2016). Dynamic interaction of two adjacent foundations embedded in a viscoelastic soil. International Journal of Structural Stability and Dynamics, 16(03), 1450110.
- [10] Keawsawasvong, S., & Senjuntichai, T. (2017, November). Dynamic response of two rigid foundations on multi-layered poroelastic medium. In IOP Conference Series: Materials Science and Engineering (Vol. 269, p. 012047)
- [11] Keawsawasvong, S., Senjuntichai, T., Plangmal, R., & Kaewjuea, W. (2020). Rocking vibrations of rigid foundations on multi-layered poroelastic media. Marine Georesources & Geotechnology, 38(4), 480-492
- [12] Han, Z., Lin, G., & Li, J. (2017). Dynamic 3D foundation–soil– foundation interaction on stratified soil. International Journal of Structural Stability and Dynamics, 17(03), 1750032.
- [13] Zhenning, B., Jianwen, L., Vincent, W. L., & Liming, H. (2018). IBEM for impedance functions of an embedded strip foundation in a multi-layered transversely isotropic half-space. J Earthq Eng ASCE, 22, 1415-1446.
- [14] Dobry, R., & Gazetas, G. (1988). Simple method for dynamic stiffness and damping of floating pile groups. Geotechnique, 38(4), 557-574.
- [15] Messioud, S., Sbartai, B., Dias, D., & Okoyay, U. S. (2012). Réponse dynamique d’une fondation encastrée soumise à des ondes sismiques obliques. Proceeding of the XXXe Rencontres AUGC-IBPSA
- [16] Messioud, S., Sbartai, B., & Dias, D. (2016). Seismic response of a rigid foundation embedded in a viscoelastic soil by taking into account the soil-foundation interaction. Struct. Eng. Mech, 58(5), 887-903.
- [17] Messioud, S., Sbartai, B., & Dias, D. (2019). Harmonic seismic waves response of 3D rigid surface foundation on layer soil. Earthq. Struct, 16(1), 109-118.
- [18] Boumekik, A. (1985). Fonctions impédances d’une fondation vibrante en surface ou partiellement encastrée dans un sol multicouche. Free University of Bruxelle (Doctoral dissertation, Ph. D. Thesis).
- [19] Kausel, E., & Peek, R. (1982). Dynamic loads in the interior of a layered stratum: an explicit solution. Bulletin of the Seismological Society of America, 72(5), 1459-1481.
- [20] Lysmer, J., & Waas, G. (1972). Shear waves in plane infinite structures. Journal of the Engineering Mechanics Division, 98(1), 85-105.
- [21] Gazetas, G., & Makris, N. (1991). Dynamic pile‐soil‐pile interaction. Part I: analysis of axial vibration. Earthquake Engineering & Structural Dynamics, 20(2), 115-132.
- [22] Makris, N., & Gazetas, G. (1992). Dynamic pile‐soil‐pile interaction. Part II: Lateral and seismic response. Earthquake engineering & structural dynamics, 21(2), 145-162.
- [23] Senjuntichai, T., Keawsawasvong, S., & Plangmal, R. (2018). Vertical vibrations of rigid foundations of arbitrary shape in a multi-layered poroelastic medium. Computers and Geotechnics, 100, 121-134
- [24] Wong, H.L. and Luco, J.E. (1986). “Dynamic Interaction between Rigid Foundations in a Layered Half-Space”, Soil Dynamics and Earthquake Engineering, Vol. 5, No. 3, pp. 149–158.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2e006816-d061-4a07-b9f5-752546081c12
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