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Lankarani, Hamid M.; Pereira, M.

doi:10.1023/a:1012005130031

Cited by 32 publications

(4 citation statements)

References 12 publications

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“…Two cases are reported in [29], for which an increase in the kinetic energy has been observed. These results have been confirmed and discussed in many works on the same or on very similar systems; see, e.g., [7,13,16,18,34,54,55]. In some of these contributions, the system has also been processed by certain variants of Poisson's impact law, which always have produced energetically consistent results in the sense that the overall kinetic energy is not increased by the impact.…”

Section: The Slide-push Mechanismsupporting

confidence: 63%

“…There is, however, a number of publications about one-point collisions with friction. In [14,34], planar frictional impacts within a multibody system are processed with Routh's method. This approach is generalized to spatial one-point collisions with isotropic friction in [17,57], in which Keller's method is used to resolve the various friction phases.…”

Section: Energy Preserving Integration In Discrete Mechanicsmentioning

confidence: 99%

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Energetic consistency conditions for standard impacts

Glocker

2013

Multibody Syst Dyn

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The paper presents a full account of Poisson's impact law in inequality form. Based on an entirely new setting for the decompression phase, impact laws for unilateral and bilateral geometric and kinematic constraints and various friction elements are introduced and equipped with an impact coefficient in the sense of Poisson's impulse ratio. Energetic consistency is proven for small and similar impact coefficients via the condition number of the Delassus operator. Energetic consistency is generally proven for frictionless systems, as well as for systems containing one single frictional contact. A counter-example is developed, which demonstrates a possible energy increase for Poisson impacts in the presence of more than one frictional contact.

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Section: The Slide-push Mechanismsupporting

confidence: 63%

Section: Energy Preserving Integration In Discrete Mechanicsmentioning

confidence: 99%

Energetic consistency conditions for standard impacts

Glocker

2013

Multibody Syst Dyn

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“…In the condition of fully lubricated，parameters are defined as follows： static friction coefficient：0．08，dynamic friction coefficient：0.05， corresponding slip velocity to the maximum static friction：0．1mm／s ,corresponding slip velocity to the maximum dynamic friction :lmm／s. (2) the rigid body virtual prototype Set material properties and moment of inertia to the model according to the corresponding data.Constraint and driving torques should be imposed on the three-dimensional gear transmission system .Rotation constraints were applied to each gear shaft.the fixed kinematic constraints were applied between the driven gear and the gear shaft.According to table 2,entities collision constraint was applied between the active gear and driven gear in order to achieve collision contact [8].The rigid body virtual prototype is shown in figure 2.…”

Section: Establishment Of the Virtual Prototype And Simulationmentioning

confidence: 99%

Comparative Simulation Research between Rigid Body and Flexible Body for Double-Gear Parallel Driving Systems

Wang

Deng

2012

AMM

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In this paper , on the platform of Adams ,the model neutral files(MNF) of the double-gear parallel driving system for the forging manipulator were created by utilizing the FEA technology，and its virtual prototype of rigid body and flexible body were established.Through defined same motion and load by step function，dynamic simulation was analyzed.Comparing the results such as angular velocity and gear meshing force of each other，studies suggest that: to treat the transmission system as rigid body can fully meet the research requirement for load balancing.

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“…There are two manners to approach the collision mechanics problem [4]. The first manner is by stereo dynamics [5][6][7][8][9][10][11][12][13]. According to this method, the bodies are considered perfectly rigid and the collision is instantaneous.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Solution for Non-Linear Viscoelastic Impact

et al. 2021

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The paper presents an analytical solution for the centric viscoelastic impact of two smooth balls. The contact period has two phases, compression and restitution, delimited by the moment corresponding to maximum deformation. The motion of the system is described by a nonlinear Hunt–Crossley equation that, when compared to the linear model, presents the advantage of a hysteresis loop closing in origin. There is only a single available equation obtained from the theorem of momentum. In order to solve the problem, in the literature, there are accepted different supplementary hypotheses based on energy considerations. In the present paper, the differential equation is written under a convenient form; it is shown that it can be integrated and a first integral is found—this being the main asset of the work. Then, all impact parameters can be calculated. The effect of coefficient of restitution upon all collision characteristics is emphasized, presenting importance for the compliant materials, in the domain of small coefficients of restitution. The results (variations of approach, velocity, force vs. time and hysteresis loop) are compared to two models due to Lankarani and Flores. For quasi-elastic collisions, the results are practically the same for the three models. For smaller values of the coefficient of restitution, the results of the present paper are in good agreement only to the Flores model. The simplified algorithm for the calculus of viscoelastic impact parameters is also presented. This algorithm avoids the large calculus volume required by solving the transcendental equations and definite integrals present in the mathematical model. The method proposed, based on the viscoelastic model given by Hunt and Crossley, can be extended to the elasto–visco–plastic nonlinear impact model.

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Cited by 32 publications

References 12 publications

Energetic consistency conditions for standard impacts

Energetic consistency conditions for standard impacts

Comparative Simulation Research between Rigid Body and Flexible Body for Double-Gear Parallel Driving Systems

An Analytical Solution for Non-Linear Viscoelastic Impact

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