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Based on the analytical model of a horizontal layered medium, applying the probabilistic formulation, the article presents the results of the investigation of joint work of a structure and multilayer soil bed subjected to seismic loading. The damping properties of soil were taken into account. The authors drew a comparison between the fundamental frequencies of the free vibrations of the “soil - structure” system obtained using the layered medium model and the platform model. By the example of a two-layer soil bed, the dependence of the resonant frequencies of the system on the thickness of the near-surface or buried weak layer was determined.
The results of the analysis of the “two-layer soil - structure” system for seismic loads at various locations of the weak layer were presented. The seismic acceleration of the soil bed was modeled as a stationary random process with a given spectral density. The investigation included an analysis of the amplitude-frequency characteristics, acceleration spectral densities and dynamic coefficients for both the entire system and the individual layers. It was demonstrated that the resonant frequencies of an individual layer being a part of the multilayer system can differ significantly from the resonant frequencies of a homogeneous soil bed with similar dynamic characteristics. A comparison between the dynamic responses of the two-layer soil bed system and a system with the reduced characteristics of the soil bed was drawn at various parameters of the spectral density of seismic load. The intervals of possible values of the resonant frequencies of the system were determined taking into account the random variability of the velocity of transverse waves within each layer.
The results of the analysis of the “two-layer soil - structure” system for seismic loads at various locations of the weak layer were presented. The seismic acceleration of the soil bed was modeled as a stationary random process with a given spectral density. The investigation included an analysis of the amplitude-frequency characteristics, acceleration spectral densities and dynamic coefficients for both the entire system and the individual layers. It was demonstrated that the resonant frequencies of an individual layer being a part of the multilayer system can differ significantly from the resonant frequencies of a homogeneous soil bed with similar dynamic characteristics. A comparison between the dynamic responses of the two-layer soil bed system and a system with the reduced characteristics of the soil bed was drawn at various parameters of the spectral density of seismic load. The intervals of possible values of the resonant frequencies of the system were determined taking into account the random variability of the velocity of transverse waves within each layer.
[1] Brahma A., Beneldjouzi M., Hadid M., Remki M. Evaluation of the Seismic Response of Reinforced Concrete (RC) Buildings Considering Soil-Structure-Interaction Effects.Eurasia Proceedings of Science, Technology, Engineering and Mathematics. 2023. 26. P. 49 – 59. DOI: 10.55549/epstem.1409304
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[3] Khosravikia F., Mahsuli M., Ghannad M.A. Soil-Structure Interaction in Seismic Design Code: Risk-Based Evaluation. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering 2018. 4 (4). DOI: 10.1061/ajrua6.0000984
[4] Djilali Berkane H., Harichane Z., Çelebi E., Elachachi S.M. Site dependent and spatially varying response spectra. Earthquake Engineering and Engineering Vibration. 2019. 18 (3). P. 497 – 509 DOI: 10.1007/s11803-019-0517-6
[5] Djilali Berkane H., Harichane Z., Guellil M.E. et al. Investigation of Soil Layers Stochasticity Effects on the Spatially Varying Seismic Response Spectra. Indian Geotech. 2018. 49. P.151 – 160. https://doi.org/10.1007/s40098-018-0301-y
[6] Messaoudi A., Mezouar N., Hadid M., Laouami N. Effects of Soil Heterogeneities on Its Seismic Responses.Lecture Notes in Civil Engineering. 2019. 401. P. 221 – 232 DOI: 10.1007/978-3-031-57357-6_19
[7] Vaseghiamiri S., Mahsuli M., Ghannad M., Zareian F. Probabilistic Approach to Account for Soil-Structure Interaction in Seismic Design of Building Structures. Journal of Structural Engineering. 2020. 146 (9). https://doi.org/10.1061/(ASCE)ST.1943-541X.0002741
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[9] Sun Q., Guo X., Dias D. Evaluation of the seismic site response in randomized velocity profiles using a statistical model with Monte Carlo simulations.Computers and Geotechnics. 120. P. 103442 DOI: 10.1016/j.compgeo.2020.103442
[10] Zahafi A., Hadid M., Bencharif R. Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil.World Journal of Engineering. 2023. 21 (4). P. 632 – 653. DOI: 10.1108/WJE-01-2023-0012
[11] Harichane Zamila, Guellil Mohamed Elhebib, Gadouri Hamid. Benefits of Probabilistic Soil-Foundation-Structure Interaction Analysis. International Journal of Geotechnical Earthquake Engineering (IJGEE). 2018. 9 (1). – P. 42 – 64.
[12] Guellil M.E., Harichane Z., Berkane H.D., Sadouki A. Soil and structure uncertainty effects on the Soil Foundation Structure dynamic response.Earthquake and Structures. 12 (2). P. 153 – 163 DOI: 10.12989/eas.2017.12.2.153
[13] Messioud S., Sbartai B., Dias D. Harmonic seismic waves response of 3D rigid surface foundation on layer soil. Earthquake and Structures. 2019. 16 (1). P. 109 – 118 DOI: 10.12989/eas.2019.16.1.109
[14] Guellil M.E., Harichane Z., Çelebi A. Comparison Between Non-linear and Stochastic Methods for Dynamic SSI Problems.Advances in Science, Technology and Innovation. 2019. P. 191 – 194. DOI: 10.1007/978-3-030-01656-2_43
[15] Amina Sadouki, Zamila Harichane, Azzedine Chehat. Response of a randomly inhomogeneous layered media to harmonic excitations. Soil Dynamics and Earthquake Engineering. 2012. 36. P. 84 – 95. DOI10.1016/j.soildyn.2012.01.007
[16] Klyuev A.V., Kashapov N.F., Klyuev S.V., Lesovik R.V., Ageeva M.S., Fomina E.V. Development of alkali-activated binders based on technogenic fibrous materials. Construction Materials and Products. 2023. 6 (1). P. 60 – 73. DOI: 10.58224/2618-7183-2023-6-1-60-73
[17] Novoselov O.G., Sabitov L.S., Sibgatullin K.E., Sibgatullin E.S., Klyuev A.S., Klyuev S.V., Shorstova E.S. Method for calculating the strength of massive structural elements in the general case of their stress-strain state (kinematic method). Construction Materials and Products. 2023. 6. (3). P. 5 – 17. https://doi.org/10.58224/2618-7183-2023-6-3-5-17
[18] Mukhametrakhimov R.Kh. Investigation of plasticizing additives based on polycarboxylate esters on the properties of concretes formed by 3D printing. Construction Materials and Products. 2022. 5 (5). P. 42 – 58. https://doi.org/10.58224/2618-7183-2022-5-5-42-58
[2] Messioud S., Sbartai B., Dias D. Estimation of dynamic impedance of the soil-pile-slab and soil-pile-mattress-slab systems.International Journal of Structural Stability and Dynamics. 17 (6). DOI: 10.1142/S0219455417500572
[3] Khosravikia F., Mahsuli M., Ghannad M.A. Soil-Structure Interaction in Seismic Design Code: Risk-Based Evaluation. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering 2018. 4 (4). DOI: 10.1061/ajrua6.0000984
[4] Djilali Berkane H., Harichane Z., Çelebi E., Elachachi S.M. Site dependent and spatially varying response spectra. Earthquake Engineering and Engineering Vibration. 2019. 18 (3). P. 497 – 509 DOI: 10.1007/s11803-019-0517-6
[5] Djilali Berkane H., Harichane Z., Guellil M.E. et al. Investigation of Soil Layers Stochasticity Effects on the Spatially Varying Seismic Response Spectra. Indian Geotech. 2018. 49. P.151 – 160. https://doi.org/10.1007/s40098-018-0301-y
[6] Messaoudi A., Mezouar N., Hadid M., Laouami N. Effects of Soil Heterogeneities on Its Seismic Responses.Lecture Notes in Civil Engineering. 2019. 401. P. 221 – 232 DOI: 10.1007/978-3-031-57357-6_19
[7] Vaseghiamiri S., Mahsuli M., Ghannad M., Zareian F. Probabilistic Approach to Account for Soil-Structure Interaction in Seismic Design of Building Structures. Journal of Structural Engineering. 2020. 146 (9). https://doi.org/10.1061/(ASCE)ST.1943-541X.0002741
[8] Parashakis H., Rovithis E., Mylonakis G. 1D Harmonic Response of Inhomogeneous Soil Deposits with Exponentially Varying Stiffness: exact & approximate solutions. compdyn Proceedings 2023. P. 925 – 938. DOI: 10.7712/120123.10446.21336
[9] Sun Q., Guo X., Dias D. Evaluation of the seismic site response in randomized velocity profiles using a statistical model with Monte Carlo simulations.Computers and Geotechnics. 120. P. 103442 DOI: 10.1016/j.compgeo.2020.103442
[10] Zahafi A., Hadid M., Bencharif R. Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil.World Journal of Engineering. 2023. 21 (4). P. 632 – 653. DOI: 10.1108/WJE-01-2023-0012
[11] Harichane Zamila, Guellil Mohamed Elhebib, Gadouri Hamid. Benefits of Probabilistic Soil-Foundation-Structure Interaction Analysis. International Journal of Geotechnical Earthquake Engineering (IJGEE). 2018. 9 (1). – P. 42 – 64.
[12] Guellil M.E., Harichane Z., Berkane H.D., Sadouki A. Soil and structure uncertainty effects on the Soil Foundation Structure dynamic response.Earthquake and Structures. 12 (2). P. 153 – 163 DOI: 10.12989/eas.2017.12.2.153
[13] Messioud S., Sbartai B., Dias D. Harmonic seismic waves response of 3D rigid surface foundation on layer soil. Earthquake and Structures. 2019. 16 (1). P. 109 – 118 DOI: 10.12989/eas.2019.16.1.109
[14] Guellil M.E., Harichane Z., Çelebi A. Comparison Between Non-linear and Stochastic Methods for Dynamic SSI Problems.Advances in Science, Technology and Innovation. 2019. P. 191 – 194. DOI: 10.1007/978-3-030-01656-2_43
[15] Amina Sadouki, Zamila Harichane, Azzedine Chehat. Response of a randomly inhomogeneous layered media to harmonic excitations. Soil Dynamics and Earthquake Engineering. 2012. 36. P. 84 – 95. DOI10.1016/j.soildyn.2012.01.007
[16] Klyuev A.V., Kashapov N.F., Klyuev S.V., Lesovik R.V., Ageeva M.S., Fomina E.V. Development of alkali-activated binders based on technogenic fibrous materials. Construction Materials and Products. 2023. 6 (1). P. 60 – 73. DOI: 10.58224/2618-7183-2023-6-1-60-73
[17] Novoselov O.G., Sabitov L.S., Sibgatullin K.E., Sibgatullin E.S., Klyuev A.S., Klyuev S.V., Shorstova E.S. Method for calculating the strength of massive structural elements in the general case of their stress-strain state (kinematic method). Construction Materials and Products. 2023. 6. (3). P. 5 – 17. https://doi.org/10.58224/2618-7183-2023-6-3-5-17
[18] Mukhametrakhimov R.Kh. Investigation of plasticizing additives based on polycarboxylate esters on the properties of concretes formed by 3D printing. Construction Materials and Products. 2022. 5 (5). P. 42 – 58. https://doi.org/10.58224/2618-7183-2022-5-5-42-58
Pshenichkina V.A., Tchantchane M., Hamici S., Ayzatullin M.M., Sabitov L.S., Kiyamova L.I. Probabilistic analysis of the “multilayer soil – structure” system response to seismic load. Construction Materials and Products. 2024. 7 (4). 6. https://doi.org/10.58224/2618-7183-2024-7-4-6