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rock toppling

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Journal Article
Published: 01 February 2009
Environmental & Engineering Geoscience (2009) 15 (1): 41–45.
...WILLIAM C. HANEBERG Table 1. List of variables used in this note. Figure 1. Schematic illustration of the variables used to analyze vibration-induced toppling of an isolated rock resting on a slope and subject to horizontal acceleration. Figure 2. Maximum stable b / h...
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Journal Article
Published: 01 January 1996
Environmental & Engineering Geoscience (1996) II (3): 339–353.
...TERRY R. WEST Abstract The primary types of rock slope failures are block slides, rock topples and wedge slides. Unfavorable orientations for rock discontinuities provide the impetus for rock slope movement. Discontinuities that intersect the rock slope at angles greater than ϕ d , the angle...
Journal Article
Published: 13 December 2016
Bulletin of the Seismological Society of America (2017) 107 (1): 72–84.
...Swetha Veeraraghavan; Kenneth W. Hudnut; Swaminathan Krishnan Abstract Toppling analysis of a precariously balanced rock (PBR) can provide insight into the nature of ground motion that has not occurred at that location in the past and, by extension, can constrain peak ground motions for use...
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Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 31 October 2021
Lithosphere (2021) 2021 (Special 4): 5424127.
...Shiqi Liu; Huanling Wang; Qingxiang Meng; Long Yan Abstract Toppling rock slopes, induced by rapid and continuous downcutting of Lancang River, are widely distributed in the mountainous area of southwest China. To investigate the instability mechanism of 1# toppling rock slope of Huangdeng...
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Journal Article
Published: 14 February 2022
Quarterly Journal of Engineering Geology and Hydrogeology (2022) 55 (3): qjegh2021-010.
...Xiao-Gang Wang; Xin-Chao Lin Abstract In this paper, an optimized solution method is proposed for the 3D stability analysis of rock slopes subject to toppling failure, based on their geometric and mechanical properties. It was verified by a 3D block system that focused on the geometric properties...
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Journal Article
Published: 01 August 1983
Quarterly Journal of Engineering Geology and Hydrogeology (1983) 16 (3): 243–244.
Journal Article
Published: 01 May 1981
Quarterly Journal of Engineering Geology and Hydrogeology (1981) 14 (2): 77–86.
.... & Valliappan, S. 1981 . Stability analysis of rock slopes against toppling failure. Numerical and Analytical Methods in Geomechanics (in press). Goodman, R. E. & Bray, J. W. 1976. Toppling of rock slopes. Proc. Speciality Conf. Rock Engng. for Fdns. and Slopes. Boulder, Colorado, ASCE...
Journal Article
Published: 01 October 2009
Bulletin of the Seismological Society of America (2009) 99 (5): 2855–2875.
... of rigid block movements was also applied to precariously balanced rocks toppled by earthquakes. While the movements of a single rocking block can be described analytically, slide-rocking movements, bouncing, and multiple block systems require a numerical approach. We use multiple rigid block models...
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(a) Granite Pass rock before being toppled by the Hector Mine earthquake of 16 October 1999. Rock toppled to the left, nearly due south; (b–e) Punchbowl rock; (f) Antelope Butte rock.
Published: 01 October 2002
Figure 2. (a) Granite Pass rock before being toppled by the Hector Mine earthquake of 16 October 1999. Rock toppled to the left, nearly due south; (b–e) Punchbowl rock; (f) Antelope Butte rock.
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2D and 3D rock models subjected to 1‐cycle idealized sawtooth waveform excitation with T=3.5  s and PGV=5  m/s applied at 0° to the x axis. Trajectories of the center of mass projected on to the X–Y (horizontal) plane for (a) 2D rock model with 2‐point contact (rock does not topple) and (b) 3D rock–pedestal model (rock topples).The color version of this figure is available only in the electronic edition.
Published: 13 December 2016
not topple) and (b) 3D rock–pedestal model (rock topples).The color version of this figure is available only in the electronic edition.
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Toppling probability of the Echo Cliffs PBR as a function of PGA and PGV/PGA under three‐component pedestal excitation with the horizontal vector PGA oriented between (a) 112.5°–157.5° (fourth bin) and (b) 292.5°–337.5° (eighth bin) CCW to the x axis obtained using our rigid‐body dynamics algorithm. The upper and lower black lines, predicted by the empirical relation of Purvance, Anooshehpoor, and Brune (2008), represent the PGA–PGV/PGA combinations corresponding to rock toppling probabilities of 1% and 99%, respectively.The color version of this figure is available only in the electronic edition.
Published: 13 December 2016
dynamics algorithm. The upper and lower black lines, predicted by the empirical relation of Purvance, Anooshehpoor, and Brune (2008) , represent the PGA–PGV/PGA combinations corresponding to rock toppling probabilities of 1% and 99%, respectively.The color version of this figure is available only
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Toppling rock mass slope panoramic photography.
Published: 31 October 2021
Figure 1 Toppling rock mass slope panoramic photography.
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Displacement evolution contour of the toppling rock slope.
Published: 31 October 2021
Figure 8 Displacement evolution contour of the toppling rock slope.
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Potential failure modes and evolution of cracks of the toppling rock slope for different scaling factors of PGA: (a) 0.3, (b) 0.5, and (c) 0.7.
Published: 31 October 2021
Figure 14 Potential failure modes and evolution of cracks of the toppling rock slope for different scaling factors of PGA: (a) 0.3, (b) 0.5, and (c) 0.7.
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Potential failure mode and evolution of cracks of the toppling rock slope with different seismic loading methods: (a) loading as velocities on the bottom boundary particles, (b) loading as forces on the bottom boundary particles, and (c) loading as velocity on the bottom boundary rigid wall.
Published: 31 October 2021
Figure 17 Potential failure mode and evolution of cracks of the toppling rock slope with different seismic loading methods: (a) loading as velocities on the bottom boundary particles, (b) loading as forces on the bottom boundary particles, and (c) loading as velocity on the bottom boundary rigid
Journal Article
Published: 01 August 2023
Earthquake Spectra (2023) 39 (3): 1810–1836.
...). CPT generated the possibility of measuring equipment horizontal displacements, slips, rotations, rocking, and toppling responses. The Euler–Lagrange formulation, along with the Stribeck friction model, was used to numerically model the rolling and in-plane rotation behavior of a four-wheel mobile cart...
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Peak accelerations of the toppling accelerograms are plotted versus quasi-static toppling acceleration for rocks listed in Table 3 and the rectangular blocks in Table 1. This plot shows that there is more scatter in the toppling accelerations of real rocks than the wooden blocks. The dashed line marks where the observed PGA equals the quasi-static toppling acceleration. The solid straight line is the least-squares fit to all the data, excluding the two circled groups (see Fig. 14). The line is forced through the origin.
Published: 01 February 2004
Figure 15. Peak accelerations of the toppling accelerograms are plotted versus quasi-static toppling acceleration for rocks listed in Table 3 and the rectangular blocks in Table 1 . This plot shows that there is more scatter in the toppling accelerations of real rocks than the wooden blocks
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Strip-chart record of a field experiment to determine the quasi-static toppling force of a precarious rock. The tensional force increases slowly and reaches a maximum value of 400 N (quasi-static toppling force) before the rock begins to tip. In a typical field measurement, to prevent toppling of the rock, the pulling (or pushing) is stopped once the horizontal force reaches the maximum value. However, in the case shown here the pulling was continued until the rock overturned.
Published: 01 February 2004
Figure 4. Strip-chart record of a field experiment to determine the quasi-static toppling force of a precarious rock. The tensional force increases slowly and reaches a maximum value of 400 N (quasi-static toppling force) before the rock begins to tip. In a typical field measurement, to prevent
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(a, b) This rock (figure 2e in Brune [1996]), at Granite Pass, was apparently toppled by the Hector Mine earthquake of 16 October 1999. (c) The rock broken in pieces after it was toppled.
Published: 01 February 2004
Figure 17. (a, b) This rock ( figure 2e in Brune [ 1996 ]), at Granite Pass, was apparently toppled by the Hector Mine earthquake of 16 October 1999. (c) The rock broken in pieces after it was toppled.
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(a, b) This rock (figure 2e in Brune [1996]), at Granite Pass, was apparently toppled by the Hector Mine earthquake of 16 October 1999. (c) The rock broken in pieces after it was toppled.
Published: 01 February 2004
Figure 17. (a, b) This rock ( figure 2e in Brune [ 1996 ]), at Granite Pass, was apparently toppled by the Hector Mine earthquake of 16 October 1999. (c) The rock broken in pieces after it was toppled.