Review and perspectives in applied mechanics of axially moving flexible structures. (English) Zbl 1518.74053
Summary: 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.
MSC:
| 74K99 | Thin bodies, structures |
| 74H99 | Dynamical problems in solid mechanics |
| 74M15 | Contact in solid mechanics |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74-02 | Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids |
Keywords:
distributed structure-to-solid contact; simplified support condition; material kinematic description; Arbitrary Lagrangian-Eulerian (ALE) approach; finite element method; beamReferences:
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