Numerical Simulation of a Sphere Moving Down an Incline with Identical Spheres Placed Equally Apart

by Chi-Hai Ling, U.S. Geological Survey, Water Resources Div, Menlo Park, United States,
Chyan-Deng Jan, U.S. Geological Survey, Water Resources Div, Menlo Park, United States,
Cheng-lung Chen, U.S. Geological Survey, Water Resources Div, Menlo Park, United States,
Hsieh Wen Shen, U.S. Geological Survey, Water Resources Div, Menlo Park, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract: This paper describes a numerical study of an elastic sphere moving down an incline with a string of identical spheres placed equally apart. Two momentum equations and a moment equation formulated for the moving sphere are solved numerically for the instantaneous velocity of the moving sphere on an incline with different angles of inclination. Input parameters for numerical simulation include the properties of the sphere (the radius, density, Poison's ratio, and Young's Modulus of elasticity), the coefficient of friction between the spheres, and a damping coefficient of the spheres during collision.

Subject Headings: Spheres | Elastic analysis | Numerical models | Fluid flow | Flow simulation | Numerical analysis | Numerical methods

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