Journal
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
Volume 78, Issue -, Pages 133-143Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijrmms.2015.06.001
Keywords
Frontal impact; Oblique impact; Logistic curve; Coefficient of restitution (CUR); Impact force; Penetration depth
Funding
- National Natural Science Foundation of China [41102197, 41472265]
- National Basic Research Program [2011CB710600]
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The normal velocity curve of a falling boulder with time is fitted by a logistic curve. Without considering the rotational velocity, a logistic equation is used to fit the normal velocity curve and to derive a formula based on the momentum theorem for the normal impact force and penetration depth. Then the tangential force and the tangential coefficient of restitution (CUR) are calculated based on the friction theory. The results of the proposed method indicate that the normal CUR increases and the tangential COR decreases with the increasing of the stiffness of the ground material. When the total impact velocity is a constant, the incident angle has a great influence on the tangential CUR, whereas the normal COR is mainly controlled by the properties of the ground material. The results also indicate that the maximum impact force suggested in this paper is comparable with that by the ASTRA in Switzerland and Japan Road Association (JRA). The penetration depth calculated using the proposed method is close to the result of the test and BIMPAM, while it is far less than that predicted by ASTRA or Pichler et al. (2005). The proposed method has the advantage of allowing systematic and theoretical calculation of the coefficient of restitution, the impact force and the penetration depth from any incident angle. The result will be more accurate if the rotational velocity is considered. Crown Copyright (C) 2015 Published by Elsevier Ltd. All rights reserved
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