On the kinematics of a concave sidecut line deformed on a flat surface
The present paper investigates the static equilibrium of a thin elastic structure with concave sidecut pressed against a flat rigid surface, as an idealization of a ski or snowboard undergoing the conditions of a carved turn. An analytical model is derived to represent the contact behaviour and prov...
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| Veröffentlicht in: | Acta mechanica 2021-12, Vol.232 (12), p.4919-4932 |
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| container_title | Acta mechanica |
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| creator | Caillaud, Benoit Gerstmayr, Johannes |
| description | The present paper investigates the static equilibrium of a thin elastic structure with concave sidecut pressed against a flat rigid surface, as an idealization of a ski or snowboard undergoing the conditions of a carved turn. An analytical model is derived to represent the contact behaviour and provide an explanation for concentrated loads occurring at the sidecut extremities. The deformations are prescribed assuming tied contact along the sidecut line and neglecting torsional deformations. The loading conditions leading to this ideal deformed state are then sought, in order to better understand the mechanics of the turn. The results are illustrated with different sidecut geometries and compared with finite element computations for validation purposes. Depending on the function describing the sidecut line, concentrated force and moment are found to take place at the sidecut extremities. |
| doi_str_mv | 10.1007/s00707-021-03080-8 |
| format | Article |
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An analytical model is derived to represent the contact behaviour and provide an explanation for concentrated loads occurring at the sidecut extremities. The deformations are prescribed assuming tied contact along the sidecut line and neglecting torsional deformations. The loading conditions leading to this ideal deformed state are then sought, in order to better understand the mechanics of the turn. The results are illustrated with different sidecut geometries and compared with finite element computations for validation purposes. 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| subjects | Analysis Boundary conditions Classical and Continuum Physics Concentrated loads Control Dynamical Systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Flat surfaces Geometry Heat and Mass Transfer Investigations Kinematics Mechanics Original Paper Science & Technology Solid Mechanics Static equilibrium Technology Theoretical and Applied Mechanics Vibration |
| title | On the kinematics of a concave sidecut line deformed on a flat surface |
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