Modeling of softsphere normal collisions with characteristic of coefficient of restitution dependent on impact velocity |
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Authors: | Youhe Zhou |
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Affiliation: | Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China and Department of Mechanics and Engineering Science, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, Gansu 730000, China |
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Abstract: | This letter presents a theoretical model of the normal (head-on) collisions between two soft spheres for predicting the experimental characteristic of the coefficient of restitution dependent on impact velocity. After the contact force law between the contacted spheres during a collision is phenomenologically formulated in terms of the compression or overlap displacement under consideration of an elastic—plastic loading and a plastic unloading subprocesses, the coefficient of restitution is gained by the dynamic equation of the contact process once an initial impact velocity is input. It is found that the theoretical predictions of the coefficient of restitution varying with the impact velocity are well in agreement with the existing experimental characteristics which are fitted by the explicit formula. |
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Keywords: | soft spheres normal collisions coefficient of restitution impact velocity theoretical model |
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