1. Nonlinear dynamic simulation of cable based structures interacting with sliding objects using the concept of macro element
- Author
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Franck Bourrier, David Bertrand, Stéphane Grange, Thomas Langlade, Mécanique des Matériaux et des Structures (M2S), Géomécanique, Matériaux et Structures (GEOMAS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA), Erosion torrentielle neige et avalanches (UR ETGR (ETNA)), Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), INSA Lyon, European Commission, and Region Auvergne-Rhone-Alpes
- Subjects
Mechanical equilibrium ,Computer science ,Truss ,02 engineering and technology ,law.invention ,FEM and DEM ,0203 mechanical engineering ,law ,General Materials Science ,Macro ,business.industry ,Applied Mathematics ,Mechanical Engineering ,Structural engineering ,Macro finite element ,021001 nanoscience & nanotechnology ,Condensed Matter Physics ,Discrete element method ,Finite element method ,Mechanical system ,Dynamic simulation ,020303 mechanical engineering & transports ,Mechanics of Materials ,[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] ,Modeling and Simulation ,Bending stiffness ,Structural dynamics ,[SPI.GCIV.DV]Engineering Sciences [physics]/Civil Engineering/Dynamique, vibrations ,[SPI.GCIV.STRUCT]Engineering Sciences [physics]/Civil Engineering/Structures ,0210 nano-technology ,business ,Cable - Abstract
International audience; This paper presents the formulation of a finite element enclosing a specific internal mechanical equilibrium in order to model cable-based structures in dynamics conditions. It is based on the concept of macro finite element which allows embedding complex mechanical systems solved inside the element boundaries. A significant advantage is to allow an easy implementation within classical commercial codes. The proposed macro finite element describes a cable interacting with a sliding object assimilated to a punctual mass where friction can be accounted for. The dynamic response is described by a model developed within the framework of the DEM (Discrete Element Method) where geometrical nonlinearity (large displacements) is considered. A model combining the proposed macro finite element and a classical linear truss finite element is presented in order to validate its implementation. Finally, illustrative examples are presented. First, a cable yarning system is considered. The effect of friction and of the bending stiffness of the posts on the overall kinematics and force within the system are explored. Then the vulnerability of a cable-stayed bridge to earthquake is explored accounting for guy ropes failure.
- Published
- 2021
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