Approximate Analytical Model for Hertzian Elliptical Contact
                    Problems

Antoine, Jean-François; Visa, Codrut; Sauvey, Christophe; Abba, Gabriel

doi:10.1115/1.2197850

Cited by 85 publications

(57 citation statements)

References 11 publications

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“…Take x F as an example, When the sensor receives the force in the x direction, the two elastic beams in the x direction will slide along the x direction, the beams in the y direction will be deformed, and the tensile stress generated by friction will be far less than the bending stress generated by the deformation, so this structure will be better in decoupling performance. [4] The flexible hinge structure can make the deformation position of the deformation beam concentrate to the center station, so as to determine the position of the patch of the sensor. In order to meet the lightweight requirements, the sensor material is made of hard aluminum alloy 2A12…”

Section: Structure and Working Principle Of Six-dimensional Force Sensormentioning

confidence: 99%

Design and Analysis of a Six-Dimensional Force Sensor

Liu¹,

Dong²,

He³

2018

dtcse

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Abstract. In order to obtain the force of the foot of a multi-foot robot, a new type of structure based on the sliding axis is proposed.[1] This structure is improved based on the traditional cross beam six-dimensional force sensor. The structural characteristics of the sensor and the principle of force measurement are analyzed. Static and dynamic simulation of the elastic body is carried out by using the finite element method. The deformed cloud, strain cloud, mode shape and natural frequency of the elastic element are obtained. According to the result of finite element analysis, the position of the patch is simulated in the three-dimensional model, and the elastic element of the sensor is decoupled and linearity analyzed. Finally, the calibration matrix of the sensor is obtained.

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Section: Structure and Working Principle Of Six-dimensional Force Sensormentioning

confidence: 99%

Design and Analysis of a Six-Dimensional Force Sensor

Liu¹,

Dong²,

He³

2018

dtcse

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“…Finally it is worth noting that the Hertz theory allows also the calculation of the semi-axes a and b of the elliptical contact patch, depending on the material properties, the curvatures of the contact surfaces and the normal contact force N c (or, equivalently, the normal penetration p n ) [6,10,11,29].…”

Section: The Normal Contact Problemmentioning

confidence: 99%

“…The detection of the contact points P c is based on some innovative procedures recently developed by the authors in previous works [10,22,34]. The normal contact problem is then solved through the global Hertz theory [6,11,29] to evaluate the normal contact forces N c . Finally The strategy to solve the tangential contact problem includes the innovative degraded adhesion model developed by the authors in this work (see Fig.…”

Section: General Architecture Of the Modelmentioning

confidence: 99%

“…More particularly, four different contact models (always implemented directly online within the multibody model of the vehicle) have been considered. All the contact models share the same contact point detection algorithm [10,22,34] and the solution of the normal problem [6,11,29] while, as regards the tangential contact problem, the following options have been taken into account: the global Kalker theory saturated through the Johnson-Vermeulen formula [28,29], the Kalker FASTSIM algorithm [29,30], the Polach model [38,39] and the new degraded adhesion model. As the results summarised in Table 8 show, the numerical efficiency of the new degraded adhesion model is substantially the same of the other wheel-rail contact models that do not consider degraded adhesion conditions.…”

Section: Computational Timesmentioning

confidence: 99%

“…The main approaches employ either constraint equations [42,43] or exact analytical methods aimed at the reduction of the algebraic problem dimension [9,10,15,22,23,34]. Generally, the normal problem solution is based on the Lagrange multipliers [42,43] and on improvements of Hertz theory [6,11,29]. Finally, concerning the solution of the tangential problem, different strategies have been considered in the last decades [14,45].…”

Section: Introductionmentioning

confidence: 99%

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An innovative degraded adhesion model for railway vehicles: development and experimental validation

2013

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The realistic description of the wheel-rail interaction is crucial in railway systems because the contact forces deeply influence the vehicle dynamics, the wear of the contact surfaces and the vehicle safety. In the modelling of the wheel-rail contact, the degraded adhesion represents a fundamental open problem. In fact an accurate adhesion model is quite hard to be developed due to the presence of external unknown contaminants (the third body) and the complex and highly non-linear behaviour of the adhesion coefficient; the problem becomes even more complicated when degraded adhesion and large sliding between the contact bodies (wheel and rail) occur.In this work the authors describe an innovative adhesion model aimed at increasing the accuracy in reproducing degraded adhesion conditions. The new approach has to be suitable to be used inside the wheelrail contact models usually employed in the multibody applications. Consequently the contact model, comprising the new adhesion model, has to assure both a good accuracy and a high numerical efficiency to be implemented directly online within more general ve- The model studied in the work considers some of the main phenomena behind the degraded adhesion: the large sliding at the contact interface, the high energy dissipation, the consequent cleaning effect on the contact surfaces and, finally, the adhesion recovery due to the external unknown contaminant removal.The new adhesion model has been validated through experimental data provided by Trenitalia S. p. A. and coming from on-track tests carried out in Velim (Czech Republic) on a straight railway track characterised by degraded adhesion conditions. The tests have been performed with the railway vehicle UIC-Z1 equipped with a fully-working Wheel Slide Protection (WSP) system.The validation showed the good performances of the adhesion model both in terms of accuracy and in terms of numerical efficiency. In conclusion, the adhesion model highlighted the capability of well reproducing the complex phenomena behind the degraded adhesion.

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Edge‐loading severity as a function of cup lip radius in metal‐on‐metal total hips—A finite element analysis

Elkins

Kruger

Pedersen

et al. 2011

Journal Orthopaedic Research

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While favorable tribological properties and allowance for larger femoral head sizes have made metal-on-metal bearings an increasingly popular choice for total hip arthroplasty, concerns have mounted regarding adverse reactions to metal wear debris and ions. Metal-on-metal cups differ from conventional polyethylene cups in terms of edge profile design and reductions from full hemisphericity, suggesting differences in loading at or near the cup edge, especially during subluxation events. Finite element analysis was used to investigate the effects of cup orientation and lip edge curvature on damage propensity for edge or near-edge loading during subluxation. Increased cup lip radius (resulting in reduced articular arc) had a detrimental effect upon subluxation-free hip range of motion and upon dislocation resistance. Contact stresses near the cup edge demonstrated complex relationships between edge radius and cup orientation, with peak stresses being influenced by both variables. The tendency for scraping wear at the egress site demonstrated similarly complex dependencies. These data indicate that acetabular cup design is an important determinant of edge and near-edge loading damage propensity.

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Approximate Analytical Model for Hertzian Elliptical Contact Problems

Cited by 85 publications

References 11 publications

Design and Analysis of a Six-Dimensional Force Sensor

Design and Analysis of a Six-Dimensional Force Sensor

An innovative degraded adhesion model for railway vehicles: development and experimental validation

Edge‐loading severity as a function of cup lip radius in metal‐on‐metal total hips—A finite element analysis

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