Citation: | JI Zhongmin, ZHANG Sheng, WU Faquan, NIU Qinghe, WANG Keyi. Research on the joint influence of multiple factors on the normal coefficient of restitution of rockfall[J]. Hydrogeology & Engineering Geology, 2022, 49(2): 164-173. doi: 10.16030/j.cnki.issn.1000-3665.202105050 |
The normal coefficient of restitution (Rn) is the most critical input parameter in the prediction and analysis of rockfall disasters. Because of its many controlling factors, how to determine an accurate and reasonable value of Rn is still a difficult problem. In order to explore the law and mechanism of the joint influence of multiple factors on Rn, the response surface methodology-central composite design method is used to investigate the combined effect of seven factors on Rn for the first time. Through regression and variance analysis of the test results, the seven selected factors have the significant effects on Rn, and the order of significance is the impact angle (θ) > block hardness (H1) > rotational speed (ω) > shape factor (η) > incident velocity (V) > slope hardness (H2) > size (d). Many interaction parameters also show the significant effects on Rn, in the order of d−θ > H1−d > V−η > H1−ω > d−η > η−ω > H1−η. For a single factor parameter, Rn increases with the decrease of d, V, η, θ and the increase of H1, H2, ω; for interaction parameters, d and ω have a weak effect on Rn, only when H1 is small, and the effect gradually increases with the increase of H1; η has a significant effect on Rn when H1 is small, and the effect significantly decreases with the increase of H1; when η is small, Rn increases significantly with the decrease of V or d, and this effect is not significant when η is large; when θ is small, Rn decreases rapidly with the increase of θ, and the decreasing trend slows down when θ is large. Compared with block with small η, the ω of block with larger η has a more significant effect on Rn. These conclusions can provide an important reference for the construction of the Rn calculation model of rockfall, and provide a basis for the accurate prediction and prevention of rockfall disasters.
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Schematic diagram of the block rotating around the X-, Y- and Z- axis before impact
Rockfall impact test device
Blocks used in the experiment
Main effects of parameters on Rn values
3D surface plots for the effects of the significant interaction parameters on Rn values
Conditions for obtaining extremely high Rn values