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Calculation Method of Angular Velocity For Rockfall Motion
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    Abstract:

    The angular velocity is always neglected, which is the key problem of impact force design and movement path calculation of rockfall. This paper analyzed the response of the five process, i. e. free falling, sliding, projectile motion, impacting and rolling to the angular velocity of rockfall, and deduced the angular velocity formulas of rockfall under the rolling and impacting movement.Meanwhile, taking the Fujian Primary Pchool rockfall in Tianshengcheng, Wanzhou District for example, it can be concluded that the angular velocity was only related to free falling, impacting and rolling when it ignored the conditions of air drag; the angular velocity of rockfall under the impacting movement presented positive correlation with the initial angular velocity, impacting period, slope gradient, rockfall mass while it presented negative correlation with the rockfall radius, impacting friction coefficient and normal restoring coefficient; the angular velocity of rockfall under the rolling movement developed positive correlation with the initial angular velocity, rolling period, slope gradient, while it developed negative correlation with the rockfall radius, rolling friction coefficient. Through the case of Fujian Primary School rockfall,this paper obtained that the variety trend of angular velocity curve was consistent with this paper's methodology and the Rocfall Program, and the average error is just 5.5%. Thus, the methodology proposed in this paper fully meets the engineering requirement.

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  • Received:
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  • Online: December 29,2018
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