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| Citation: | Huang Fuyou, Zhang Luqing, Zhou Jian, Ma Xiandong, 2022. Influence Factors of Tangential Restitution Coefficient of Rolling Stone Based on Friction and Deformation Energy Dissipation. Earth Science, 47(12): 4583-4595. doi: 10.3799/dqkx.2022.369
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The tangential restitution coefficient is an important control parameter for the rebound of the rolling stone, and the current theoretical formula can not fully reflect its mechanism. Firstly, according to the different rebound states of the rolling stone, a tangential force model based on the change of incident angle is proposed. Further considering the tangential friction energy dissipation and deformation energy dissipation in the collision process, the theoretical formula of tangential restitution coefficient is derived based on tangential contact theory and kinetic energy theorem. Finally, the influence of various factors on the tangential restitution coefficient is studied. The results show that the tangential restitution coefficient of rolling rebound is mainly affected by tangential deformation. When the rolling stone slips, the influence parameter of incident velocity on the tangential restitution coefficient is
, and the tangential restitution coefficient decreases slowly as it increases, while the influence parameter of incident angle on tangential restitution coefficient is
$ \frac{\mathrm{c}\mathrm{o}{\mathrm{s}}^{\frac{1}{20}}{\beta }_{i}}{\mathrm{t}\mathrm{a}\mathrm{n}{\beta }_{i}} $, and the tangential restitution coefficient increases with its increase, the influence parameter of the deformation modulus of the impacted object on the tangential restitution coefficient is
$ {E}_{2}^{-\frac{5}{8}} $, and the tangential restitution coefficient increases with its increase. The tangential recovery coefficient based on friction and deformation energy dissipation provides a new computational model for the collision process of rolling stone.
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