Simultaneous oblique impacts and contacts in multibody systems with friction

Flickinger, Daniel Montrallo; Bowling, Alan

doi:10.1109/aim.2009.5229820

Cited by 5 publications

(6 citation statements)

References 27 publications

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“…A similar model with E n =diag(e n,i ) and Coulomb friction at the impulse level is also used in [5,[16][17][18]. Same conclusions hold for impact laws with friction as studied in [49], among others.…”

Section: Remarkmentioning

confidence: 83%

Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls

2012

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Section: Remarkmentioning

confidence: 83%

Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls

2012

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“…As a result, the complementary equations that are used to solve the slip-reversal impact are the ones in Eqs. (14), (15), and (20), and the following equation:…”

Section: Slip-reversal Casementioning

confidence: 99%

“…They focused on solving the bouncing baton on a vibrating plate and used the work of Dorbolo et al [6] to verify their theoretical approach. Bowling et al [14,15] numerically simulated the "contact impact" problem of a bicyclelike stmcture with two wheels pinned by a light rod. They developed an energy modifying coefficient of restitution which is used to control the energy lost due to impact.…”

Section: Introductionmentioning

confidence: 99%

Collision of Two Mass Baton With Massive External Surfaces

Tavakoli

Gharib

Hürmüzlü

2012

Journal of Applied Mechanics

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This paper presents the solution of the impact problem for a sliding/bouncing baton on flat and inclined planes subject to surface friction. The baton is assumed to have unilaterally constrained motion, which means one end slides on the ground while the other end collides with the ground. We use the impulse momentum approach and incorporate the impulse correlation ratio (ICR) hypothesis to solve the ground impact problem when the system has unilaterally constrained dynamics. Parametric investigations were carried out to examine the effect of the baton's length and the inclined surface slope angle on the impulse correlation ratio. Numerical simulation and experiments were carried out to validate the model.

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“…Therefore, the aforementioned research mainly focuses on impacts between simple objects, such as the collision between a uniform slender rod and a rough fixed surface [1], the impact of a small ball with both ground and wall [6], as well as the collision when a double pendulum freely falls on a rigid plane [4]. Moreover, the effectiveness and correctness of the impact models proposed were proved by numerical simulation analysis.…”

Section: Introductionmentioning

confidence: 99%

“…This method is more efficient than other LCP approaches in the presence of bilateral system constraints. Flickinger and Bowling [4] discussed a new dissipation principle for resolving post-impact tangential velocities after simultaneous impact events on a system composed of interconnected rigid bodies. Flores et al [5] presented a general and comprehensive analysis of continuous contact force models for soft materials in multi-body dynamics.…”

Section: Introductionmentioning

confidence: 99%

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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Simultaneous oblique impacts and contacts in multibody systems with friction

Cited by 5 publications

References 27 publications

Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls

Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls

Collision of Two Mass Baton With Massive External Surfaces

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

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