Spatial Variation of the Coefficient of Restitution for Frictionless Impacts on Circular Beams

IF 2.6 4区 工程技术 Q2 MECHANICS Journal of Applied Mechanics-Transactions of the Asme Pub Date : 2023-08-23 DOI:10.1115/1.4063218
Aakash Khandelwal, R. Mukherjee
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Abstract

The spatial variation of the coefficient of restitution for frictionless impacts along the length of a circular beam is investigated using a continuous impact model. The equations of motion are obtained using the finite element method and direct time integration is used to simulate the collision on a fast time scale. For collision of a pinned beam with a fixed cylinder, the spatial variation of the coefficient of restitution, impulse magnitude, duration of collision, energetics, and the role of damping are investigated. In the absence of significant external damping, the kinematic and kinetic definitions of the coefficient of restitution provide identical results. Experiments validate the results from simulation which indicate that the coefficient of restitution is sensitive to the location of impact.
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圆梁无摩擦碰撞恢复系数的空间变异
采用连续碰撞模型,研究了无摩擦碰撞恢复系数沿圆梁长度方向的空间变化规律。采用有限元法求解运动方程,采用直接时间积分法在快速时间尺度上模拟碰撞过程。研究了固定圆柱梁与固定圆柱梁碰撞时的恢复系数、冲击幅度、碰撞持续时间、能量学和阻尼的空间变化规律。在没有显著外部阻尼的情况下,恢复系数的运动学和动力学定义提供了相同的结果。实验验证了仿真结果,表明恢复系数对冲击位置敏感。
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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