An Isogeometric analysis based method for frictional elastic contact problems with randomly rough surfaces

Hu, Hai‐Jie; Hu, Han; Ouyang, Huajiang

doi:10.1016/j.cma.2022.114865

Cited by 12 publications

(3 citation statements)

References 45 publications

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“…17a. The random roughness is realised using the IGA-based random geometry framework proposed in [53], which integrates the collocation-based random field modelling method [54] and the NURBS surface interpolation method [55]. The authors would like to note that other ways of rough surface modelling can also be deployed, for instance, the random midpoint displacement method [56,57], which characterises the fractal properties of the surface.…”

Section: Stick-slip Effect Of 3d Contact With Randomly Rough Surfacementioning

confidence: 99%

Explicit frictional stick–slip dynamics of elastic contact problem incorporating the LuGre model

Hu,

Zhu,

Batou

et al. 2024

Nonlinear Dyn

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Dynamical contact problem with friction is of continuous concern and have been investigated over the years. The effective and accurate description of the development of the friction force is the key to this problem. However, the stick–slip phenomenon, as typical dynamical behaviour, has rarely been considered when developing contact algorithms for frictional contact problems of elastic bodies. The conventionally used Coulomb’s model, with differentiating the static and kinetic coefficient of friction, can lead to inaccurate results due to errors generated when switch between the stick or slip states. In this work, a three-dimensional mortar-based frictional contact algorithm is proposed in an explicit scheme. The proposed algorithm incorporates the LuGre model to account for dynamical frictional behaviours such as stick–slip. The effectiveness and accuracy of the proposed algorithm are validated through several simplified two-dimensional cases. The sticking time ratio and the evolution of the global coefficient of friction with time of a three-dimensional contact problem with a randomly rough contact interface are investigated as an application.

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Section: Stick-slip Effect Of 3d Contact With Randomly Rough Surfacementioning

confidence: 99%

Explicit frictional stick–slip dynamics of elastic contact problem incorporating the LuGre model

Hu,

Zhu,

Batou

et al. 2024

Nonlinear Dyn

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“…They developed a computational framework, which is suitable to investigate sliding friction even under normal tensile loads. Hu et al [124] discussed the friction behavior between an elastic body and a rigid body with a random rough surface based on contact mechanics. According to the characteristics of random rough surface, they carried out numerical experiments on several settings, such as 'rough-smooth', 'smooth-rough', and 'rough-rough' contact, and discussed the affecting factors of the global coefficient of friction.…”

Section: Examples Of Interface Friction Behavior Standing On Contact ...mentioning

confidence: 99%

Friction Behavior of Rough Surfaces on the Basis of Contact Mechanics: A Review and Prospects

Zhang

Liu

2022

Micromachines

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Contact and friction are closely related as friction cannot happen without contact. They are widely used in mechanical engineering, traffic, and other fields. The real contact surface is not completely smooth, but it is made up of a series of tiny contact asperities as viewed in the micro-scale. This is just the complexity of the contact and friction behaviors of rough surfaces: the overall mechanical behavior is the result of all asperities which are involved during the contact. Due to the multiplicity of surface topography, the complexity of contact scale, and the nonlinearity of the constitutive material, there are still many open topics in the research of contact and friction behavior of rough surfaces. Based on the perspective of the macroscopic and micro-nano scale contact mechanics, this review gives a brief overview of friction for the latest developments and points out the existing issues and opportunities for future studies.

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“…The contact model built via the traditional FEM is formed using Lagrangian basis functions to generate the mesh, which makes the geometric boundary low order continuity and ignores some detailed features [12]. So, it cannot accurately describe the curvature of complex surfaces and does not reflect the small tooth profile changes of cycloidal gear with manufacturing errors, which leads to the low calculation accuracy of the contact force.…”

Section: Introductionmentioning

confidence: 99%

Contact Analysis for Cycloid Pinwheel Mechanism by Isogeometric Finite Element

Zhang,

Guo,

et al. 2023

Coatings

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Cycloid drives are generally used in precision machinery requiring high-reduction ratios, such as robot joint (RV) reducers. The contact stress of cycloidal gears greatly affects lifetime and transmission performance. Traditional finite element method (FEM) has less computational efficiency for contact analysis of complex surface. Therefore, in this paper, isogeometric analysis (IGA) was employed to explore the multi-tooth contact problem of the cycloid pinwheel drive. Based on the nonuniform rational B spline (NURBS) curved surface generation method, the NURBS tooth profile of the cycloid gear was reconstructed. In addition, the NURBS surface of the cycloid gear–pin tooth–output pin was generated via the element splicing method. A geometrical analysis model of cycloid pinwheel drive was established to solve the contact force of the meshing pair under different input angles and compared with the finite element method in terms of convergence, resultant accuracy, and solving timeliness. The results show that isogeometric analysis has higher accuracy and efficiency than the finite element method in calculating the contact stress and contact force. The error of the IGA is only 8.8% for 10 × 10 elements in contact, while the error of the finite element method reaches about 40%. The method can improve the contact simulation accuracy of the cycloid drive and provides a reference for the design evaluation of RV reducer.

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An Isogeometric analysis based method for frictional elastic contact problems with randomly rough surfaces

Cited by 12 publications

References 45 publications

Explicit frictional stick–slip dynamics of elastic contact problem incorporating the LuGre model

Explicit frictional stick–slip dynamics of elastic contact problem incorporating the LuGre model

Friction Behavior of Rough Surfaces on the Basis of Contact Mechanics: A Review and Prospects

Contact Analysis for Cycloid Pinwheel Mechanism by Isogeometric Finite Element

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