Investigation of Gears Using an Elastic Multibody Model with Contact

Ziegler, Pascal; Eberhard, Peter

doi:10.1007/978-90-481-9971-6_15

Cited by 10 publications

(12 citation statements)

References 6 publications

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“…However, this shift is very small and both models agree very well. As shown in [3] and [4], there are no difficulties for the simulation of large rotation angles or more revolutions of gears using this approach, even with very high rotational velocities of gear wheels. This is practically impossible for an FE analysis.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…A collision detection looping over all flanks would be possible, but is very expensive, since a transformation from modal coordinates to nodal coordinates for every flank node would be needed despite the fact that for geometrical reasons only a small number of flanks are in contact at the same time. To reduce the possible contact nodes, and thus the numerical cost for the transformation, a coarse collision detection is used, see [3].…”

Section: Contact Algorithmmentioning

confidence: 99%

“…In many technical systems, very precise simulations of contact forces between gears require a fully elastic description, see [3] and [4]. This is particularly true for gears with very compliable gear bodies or for gears subject to high contact forces.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of Elastic Gears with Non-Standard Flank Profiles

Phu¹,

Eberhard²,

Ziegler³

2013

Archive of Mechanical Engineering

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There exist cases where precise simulations of contact forces do not allow modeling the gears as rigid bodies but a fully elastic description is needed. In this paper, a modally reduced elastic multibody system including gear contact based on a floating frame of reference formulation is proposed that allows very precise simulations of fully elastic gears with appropriately meshed gears in reasonable time even for many rotations. One advantage of this approach is that there is no assumption about the geometry of the gears and, therefore, it allows precise investigations of contacts between gears with almost arbitrary non-standard tooth geometries including flank profile corrections.This study presents simulation results that show how this modal approach can be used to efficiently investigate the interaction between elastic deformations and flank profile corrections as well as their influence on the contact forces. It is shown that the elastic approach is able to describe important phenomena like early addendum contact for insufficiently corrected profiles in dependence of the transmitted load. Furthermore, it is shown how this approach can be used for precise and efficient simulations of beveloid gears.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Contact Algorithmmentioning

confidence: 99%

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Simulation of Elastic Gears with Non-Standard Flank Profiles

Phu¹,

Eberhard²,

Ziegler³

2013

Archive of Mechanical Engineering

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“…In this investigation, in order to calculate the contact forces that act in the dynamics of an EMBS, a master-slave approach with a linear penalty-factor formulation [6] is used.…”

Section: Contact Modeling and Dynamicsmentioning

confidence: 99%

Influence of Uncertainties on the Stability of a Self-Excited Elastic Multibody System

Iroz¹,

Hanss²,

Eberhard³

2015

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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Abstract. In this paper, uncertainty analyses based on fuzzy arithmetic are performed and illustrated for a disc brake affected by friction-induced vibrations and modeled as an elastic multibody system. By the use of fuzzy-valued model parameters, the nominal results of conventional, crisp-valued models are extended to the inclusion of uncertainties, and valuable conclusions on the overall effect as well as on the individual influence of uncertain parameters on the output of the model can be drawn. For the definition, the simulation and the evaluation of the fuzzy-parameterized model, the software package FAMOUS is used and coupled to the multibody simulation program Neweul-M 2 .

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“…However, due to the rigidity assumption, it is not possible to study the wave propagation caused by hard contacts or impacts, so that the dynamic responses may be unrealistic. Reference [3] points out that for compliant gear bodies the flexibility effects modify significantly the contact forces applied on teeth and the motion of the whole gear pair system. With rigid body models, this kind of dynamic behavior can not be reproduced.…”

Section: Introductionmentioning

confidence: 99%

Contact Model Between Superelements in Dynamic Multibody Systems

Virlez

Brüls

Sonneville

et al. 2013

Volume 7A: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control

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In this paper, a new contact formulation defined between flexible bodies modeled as superelements is investigated. Unlike rigid contact models, this approach enables to study the deformation and vibration phenomena induced by hard contacts. Compared with full-scale finite element models of flexible bodies, the proposed method is computationally more efficient, especially in case of a large number of bodies and contact conditions. The compliance of each body is described using a reduced-order elastic model which is defined in a corotational frame that follows the gross motion of the body. The basis used to reduce the initial finite element model relies on the Craig-Bampton method which uses both static boundary modes and internal vibration modes. The formulation of the contact condition couples all degrees of freedom of the reduced model in a nonlinear way. The relevance of the approach is demonstrated by simulation results first on a simple example, and then on a gear pair model.

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Investigation of Gears Using an Elastic Multibody Model with Contact

Cited by 10 publications

References 6 publications

Simulation of Elastic Gears with Non-Standard Flank Profiles

Simulation of Elastic Gears with Non-Standard Flank Profiles

Influence of Uncertainties on the Stability of a Self-Excited Elastic Multibody System

Contact Model Between Superelements in Dynamic Multibody Systems

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