| Citation: |
CHEN Demao, SHEN Zhiping, JIANG Peng, FU Junyi, LIU Hui. An analysis of the stability of the spherical-cap shaped slope at the Five-hundred-meter Aperture Spherical radio Telescope (FAST), China[J]. Hydrogeology & Engineering Geology, 2021, 48(4): 116-123. doi: 10.16030/j.cnki.issn.1000-3665.202012006
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An analysis of the stability of the spherical-cap shaped slope at the Five-hundred-meter Aperture Spherical radio Telescope (FAST), China
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Abstract
The site of Five-hundred-meter Aperture Spherical radio Telescope is located in karst depression, and the depression slope shape after excavation is like a spherical cap shape slope which belongs to an axisymmetric circular concave slope. The slope is composed of cemented soil-rock mixture and limestone. The slope is locally stable, but the stability of slope in a whole is still unknown. At present, evaluation of the slope stability in a whole is usually using the limit equilibrium method which is based on plane strain, and error arises in the evaluation results of the axisymmetric circular concave slope because of ignoring the slope shape. To eliminate the error, the slide body of the axisymmetric circular concave slope is divided into many annulus slices in the study, the anti-slide capacity of annulus slices axial force is considered and the improved limit equilibrium method which is suitable to the axisymmetric circular concave slope is proposed. The improved simplified Bishop method is verified with the numerical analysis method. The results show that the safety factor of the improved simplified Bishop method is a little larger than that with the traditional calculation method, and the safety factor of the improved simplified Bishop method is close to the numerical method result. The safety factor equation of the axisymmetric circular convex slope is given, and the results show that the stability of the axisymmetric circular convex slope is close to that of the ordinary slope. The above two calculation methods may provide new ways to evaluate the stability of slope with similar slope shape.
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References
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CHEN Demao, SHEN Zhiping, JIANG Peng, FU Junyi, LIU Hui. An analysis of the stability of the spherical-cap shaped slope at the Five-hundred-meter Aperture Spherical radio Telescope (FAST), China[J]. Hydrogeology & Engineering Geology, 2021, 48(4): 116-123. doi: 10.16030/j.cnki.issn.1000-3665.202012006
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Figure 1.
Spherical cap shape slope of FAST
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Figure 2.
Dividing annulus slices of the axisymmetric circular concave slope
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Figure 3.
Horizontal sliding component of annulus slices
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Figure 4.
Free-body diagram of the tiny element sector sliding body
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Figure 5.
Sliding resistance force of the tiny element sector sliding body
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Figure 6.
Calculation diagram of the improved simplified Bishop method
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Figure 7.
Safety factor of the simplified Bishop method and strength reduction method
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Figure 8.
Three-dimensional finite element model（Rbottom=20 m）
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Figure 9.
Safety factor of the axisymmetric circular concave slope with a height of 10 m
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Figure 10.
Safety factor of the axisymmetric circular concave slope with a height of 30 m
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Figure 11.
Three-dimensional finite element model of the axisymmetric circular convex slope
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Figure 12.
Safety factor of the axisymmetric circular convex slope