Modelling of processes of impact in sports

Peikenkamp, Klaus

doi:10.1016/0021-9290(89)90418-1

Cited by 4 publications

(4 citation statements)

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“…In addition, when R 1 = R (as is the current case), (3) reduces to the simplified impact model given by Johnson [24]. Vu-Quoc and Zhang [25] also analyze the elastoplastic contact of spheres.…”

Section: Introductionmentioning

confidence: 99%

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Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres

2009

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The current work presents a different methodology for modeling the impact between elastoplastic spheres. Recent finite element results modeling the static deformation of an elasto-plastic sphere are used in conjunction with equations for the variation of kinetic energy to obtain predictions for the coefficient of restitution. A model is also needed to predict the residual deformation of the sphere during rebound, or unloading, of which several are available and compared in this work. The model predicts that a significant amount of energy will be dissipated in the form of plastic deformation such that as the speed at initial impact increases, the coefficient of restitution decreases. This work also derives a new equation for the initial critical speed which causes initial plastic deformation in the sphere that is different than that shown in previously derived equations and is strongly dependant on Poisson's Ratio. For impacts occurring above this speed, the coefficient of restitution will be less than a value of one. This work also compares the predictions between several models that make significantly differ-

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Section: Introductionmentioning

confidence: 99%

“…The impact of spheres has many applications to objects of similar geometries, such as in shot peening [1,2], impacts in sports [3,4], projectile impacts [5,6], and many others. It also has application in the contact of rough surfaces which is often modeled by a collection of spherical surface asperities [7,8].…”

Section: Introductionmentioning

confidence: 99%

Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres

2009

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“…Joint surfaces widely exist in engineering applications, such as connectors, 1,2 bearings, 3,4 sporting equipment, 5,6 space equipment, 7 machine tool, 8–10 and the contact stiffness of joint surfaces greatly affects the static and dynamic characteristics of the mechanical equipment. All joint surfaces are rough and are composed of asperities in the microscopy scale, which leads to nonlinear variation of force and deformation when they contact.…”

Section: Introductionmentioning

confidence: 99%

A modified normal contact stiffness model considering effect of surface topography

Zhao

Zhang

Man

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part J:

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The contact stiffness of joint surfaces is an important factor influencing the static and dynamic characteristics of the mechanical equipment. In the present research, a modified normal contact stiffness model of two rough surfaces is proposed. First, the stiffness model of a single asperity contact pair is obtained based on shoulder-shoulder contact in conjunction with the elastic-plastic contact model proposed by Jackson and Green. Second, the topographies of contact surfaces are analyzed, and the locations of asperities and the statistical distributions of asperity heights and radii are acquired experimentally. The asperities are then generated using Monte Carlo method with the information to simulate the real contact. Finally, the asperities contact state is determined and if the contact occurs, the stiffness of the single asperity pair is calculated and summed as the total normal stiffness of two contact surfaces. The proposed stiffness model is validated by experiments with the errors less than 10%.

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“…The contact of rough surfaces is very important for a large number of applications, such is when the surfaces impact in electrical switches, 1–3 breakers, connectors, 4,5 fasteners, bearings, 6–8 mechanical seals, 9–11 clutches, sporting equipment, 12,13 articular joints, 14 microelectronics, 15 hard-disk drive read–write heads, 16 military, space equipment, 17 etc. In mechanical and lip seals, it is important that the surfaces make sufficient contact so that the leakage of flow between them is minimal.…”

Section: Introductionmentioning

confidence: 99%

Predictions of the average surface separation and stiffness between contacting elastic and elastic–plastic sinusoidal surfaces

Rostami

Jackson

2013

Proceedings of the Institution of Mechanical Engineers, Part J:

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The behavior of regular wavy surfaces in contact is important for the study of rough surface contact, and therefore has applications to the prediction of friction, wear, surface fatigue, and electrical and thermal contact resistance. This work characterizes the average surface separation between a sinusoidal surface and a flat rigid surface as a function of the average contact pressure or load using the finite element method (FEM). The FEM results also agree well with the limiting spherical based solutions at low contact pressures and the other asymptotic solution at high contact pressures. Empirical fits are provided that can approximately predict the average surface separation for both elastic and elastic–plastic sinusoidal contacts over a wide range of material properties. Contact stiffness can also be predicted from surface separation results.

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Modelling of processes of impact in sports

Cited by 4 publications

References 0 publications

Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres

Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres

A modified normal contact stiffness model considering effect of surface topography

Predictions of the average surface separation and stiffness between contacting elastic and elastic–plastic sinusoidal surfaces

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