ALE beam using reference dynamics

Grundl, Kilian; Schindler, Thorsten; Ulbrich, H.; Rixen, Daniel J.

doi:10.1007/s11044-019-09671-7

Cited by 12 publications

(1 citation statement)

References 26 publications

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“…Putting the mixed Eulerian–Lagrangian kinematics into the basis of a non-material finite element formulation [28, 29, 31] allows avoiding frequent switching of contact states within single elements. This approach is getting increasingly popular for modeling belt drives and similar structures; see [18, 23, 25, 26]. The latter reference provides also an analytical solution for the transient growth of sliding zones during the operation of an idealized belt drive.…”

Section: Introductionmentioning

confidence: 99%

Steady state motion of a shear deformable beam in contact with a traveling surface

Oborin

Vetyukov

2019

Acta Mech

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A shear deformable beam moving along a straight path is considered as an idealization of the problem of stationary operation of a belt drive. The partial contact with a traveling surface results in the shear deformation of the beam. The tangential contact force grows near the end of the contact zone. Assuming perfect adhesion of the lower fiber of the beam to the traveling surface (no slip), we analytically demonstrate the necessity of accounting for concentrated contact forces and jump conditions, which is important for modeling the belt–pulley interaction. Along with dynamic effects, we further consider a frictional model with zones of stick and slip contact and demonstrate its convergence to the results with perfect adhesion at growing maximal friction force.

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Section: Introductionmentioning

confidence: 99%

Steady state motion of a shear deformable beam in contact with a traveling surface

Oborin

Vetyukov

2019

Acta Mech

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Review and perspectives in applied mechanics of axially moving flexible structures

Scheidl

Vetyukov

2023

Acta Mech

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This comprehensive review primarily concerns axially moving flexible structures in problems involving distributed structure-to-solid contact. The distinguishing features of axially moving structures are presented in terms of prevalent studies regarding models with simplified support conditions. Subsequent sections focus on the particular difficulties of treating contact problems with classical structural theories, on the appropriate non-material kinematic description for travelling structures, on the proper formulation of established mechanical principles for open systems and on the category of Arbitrary Lagrangian–Eulerian (ALE) approaches, which are frequently applied for the development of application-oriented finite element schemes. Novel analytical and numerical transient solutions for the benchmark problem of an axially moving beam, which is travelling across a rough surface between two misaligned joints, are presented to illustrate particular challenges as well as to highlight perspectives for future research activities. There are 177 references cited in this paper.

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Efficient Mesh Updating Scheme for the ALE Corotational Formulation of an Arbitrarily Curved Beam

Deng

Niu

Fan

et al. 2023

Acta Mech. Solida Sin.

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ALE beam using reference dynamics

Cited by 12 publications

References 26 publications

Steady state motion of a shear deformable beam in contact with a traveling surface

Steady state motion of a shear deformable beam in contact with a traveling surface

Review and perspectives in applied mechanics of axially moving flexible structures

Efficient Mesh Updating Scheme for the ALE Corotational Formulation of an Arbitrarily Curved Beam

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