Moderately high speed impact of two identical spheres

Minamoto, Hirofumi; Kawamura, Shozo

doi:10.1016/j.ijimpeng.2010.09.005

Cited by 58 publications

(42 citation statements)

References 12 publications

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“…(23), it is crucial to obtain the coefficient of restitution accurately to calculate the contact force and the dynamic response of the system. However, in reality, the coefficient of restitution needs to be measured in experiments rather than being calculated/deduced [67]. Further explanation lies beyond the scope of this study.…”

Section: Figmentioning

confidence: 94%

A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint

2014

Nonlinear Dyn

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Impact affects the dynamic characteristics of mechanical multi-body systems and damages those rotating parts, such as the joint rolling element bearings, which are high-precision, defect intolerant components. Based on multi-body dynamic theory, Hertzian contact theory, and a continuous contact model, this study proposed a modelling method that can describe the dynamic behaviour of planar mechanical multibody systems containing a rolling ball bearing joint under impact. In this method, the rigid bodies and bearing joint were connected according to their joint force constraints; the impact constraint between the multibody system and the target rigid body was constructed using a continuous contact force model. Based on this method, the reflection relationship between the external impacts of the mechanical multi-body system and the variation law governing the dynamic load on the rolling bearing joint were revealed. Subsequently, an impact multi-body system, which was composed of a slidingcrank mechanism containing a rolling ball bearing joint and the target rigid body with an elastic support, was analysed to explore the dynamic response of such a complex discontinuous dynamic system andthe relevant relationship governing the dynamic load on the rolling bearing joint. In addition, a multi-body dynamic simulation software was used to build a virtual prototype of the impact slider-crank system. Compared with the theoretical model, the prototype had an additional deep groove ball bearing. That is to say, the prototype model took account of the specific geometric structural characteristics and the complex contact relationship of the inner and outer races, rolling balls, and bearing cage. Finally, the effectiveness of the theoretical method proposed in this study was verified by comparative analysis of the results. The results suggested that the external impact of a mechanical multi-body system was prone to induce sudden changes in the equivalent reaction force on its bearing joint and the dynamic load carried on its rolling balls. This study provided an effective method for exploring the distribution characteristics of dynamic loads on rolling ball bearing joints under working impact load conditions. Moreover, it offered support for the parameter optimisation of geometric structure, performance evaluation, and dynamic design of the rolling ball bearings.

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Section: Figmentioning

confidence: 94%

A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint

2014

Nonlinear Dyn

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“…With strain-rate-dependent materials, previous FEM analysis has shown that Johnson-Cook strain-rate dependence captures the behavior of moderate-speed sphere impact experiments [19,24]. The Johnson-Cook model relates the yield stress to the strain rate as:…”

Section: Model Descriptionmentioning

confidence: 99%

Strain-rate-dependent model for the dynamic compression of elastoplastic spheres

Burgoyne

Daraio

2014

Phys. Rev. E

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We present a force-displacement contact model for the compressive loading of elastoplastic spheres. This model builds from the well known Hertz contact law for elastic, quasistatic compression to incorporate a material's strain-rate-dependent plasticity in order to describe collisions between particles. In the quasistatic regime, finite-element analysis is used to derive an empirical function of the material properties. A Johnson-Cook strain rate dependence is then included into the model to study dynamic effects. We validate the model using split Hopkinson bar experiments and show that the model can accurately simulate the force-displacement response of strain-rate-dependent elastoplastic spheres during dynamic compression and unloading.

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“…Results for experiments on impact of identical spheres as well as spheres of different sizes and material composition were presented and discussed. More recent experiments on the impact of two identical spheres have been reported by Minamoto and Kawamura (2009;2011). Experimental results for coefficient of restitution and contact duration were reported for low-velocity impacts (Minamoto & Kawamura, 2009) and moderate-velocity impacts (Minamoto & Kawamura, 2011), and the measurements were validated using FE simulation results.…”

Section: Introductionmentioning

confidence: 97%

“…More recent experiments on the impact of two identical spheres have been reported by Minamoto and Kawamura (2009;2011). Experimental results for coefficient of restitution and contact duration were reported for low-velocity impacts (Minamoto & Kawamura, 2009) and moderate-velocity impacts (Minamoto & Kawamura, 2011), and the measurements were validated using FE simulation results. Also, experiments on impact of spheres on flat targets have been conducted (Kharaz & Gorham, 2000) and are a special case of impact of two spheres i.e.…”

Section: Introductionmentioning

confidence: 97%

Rigid Body Motions and Local Compliance Response during Impact of Two Deformable Spheres

Big‐Alabo¹

2017

MER

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The impact of two hard deformable spheres is revisited with the aim of investigating the constituent rigid body motions and indentation response of each sphere during collision. The latter are determined theoretically and the theoretical solutions are validated by comparing with numerical solutions of the coupled nonlinear dynamic models for impact of two hard deformable spheres. For elastic impact events, normalized tabulated solutions are derived using the Force Indentation Linearisation Method (FILM) and the tabulated solutions can be used to generate actual rigid body motions and indentation histories for each of the colliding spheres without need for numerical or finite element solutions. The analysis shows that the rigid body motion and local compliance response of each sphere depend on: (a) ratio of mass of sphere to effective mass of impact system, and (b) ratio of initial velocity of sphere to initial relative velocity of impact system. Finally, the 2-D collision problem is discussed and a simple procedure to determine the unique solution of all four unknowns is presented.

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Moderately high speed impact of two identical spheres

Cited by 58 publications

References 12 publications

A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint

A general method for impact dynamic analysis of a planar multi-body system with a rolling ball bearing joint

Strain-rate-dependent model for the dynamic compression of elastoplastic spheres

Rigid Body Motions and Local Compliance Response during Impact of Two Deformable Spheres

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