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Geodesic domes.

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Geodesic domes --- Sphere --- Models

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Based on the widely used finite element method (FEM) and the latest Meshfree methods, a next generation of numerical method called Point Interpolation Method (PIM) has been recently developed. The PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations - one of the most important features of the next generation methods. This important book describes the various PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G

G-spaces. --- Interpolation. --- Approximation theory --- Numerical analysis --- Geodesic spaces --- Spaces, G --- Spaces, Geodesic --- G-structures --- Metric spaces --- G-espaces. --- Interpolation (mathématiques) --- Interpolation (mathématiques)

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Facing the energy crisis and the necessity to reduce CO2 and greenhouse gas emissions,
hydrogen has emerged as a key option in the decarbonization of fields such as aerospace and
automotive. Indeed, hydrogen constitutes a solution in the storage and transportation of
energy. Typically, hydrogen is stored in Composite Overwrapped Pressure Vessels (COPVs)
which have a better strength-to-weight ratio than traditional metallic pressure vessels. However, COPVs are still subject to improvement in the filament winding process which is greatly
responsible for the damage resistance and the fatigue behavior.
This Master thesis addresses the implementation of a model predicting the evolution of the
winding angle on the dome of cylindrical pressure vessels. The winding angle is an important
parameter in the determination of the mechanical behavior of composite pressure vessels. In
order to enlarge the possibility of winding trajectories, non-geodesic winding is implemented in
MATLAB. The solution of the non-geodesic equation is computed using the 4th-order Runge
Kutta method with a constant discretization over the dome profile. Then, the approach is
extended to a multi-layer structure predicting the winding angle on an arbitrary pseudo-ply
different from an ellipse.
Finally, a methodology to mesh a lay-up is implemented by defining the nodes, the elements,
and the winding angle associated with each element. The finite element model is then exported
in SAMCEF BACON for later simulations. This results in a more realistic dome modelling by
considering the different plies and the non-geodesic trajectories in the filament winding process.

Composite pressure vessel --- Non-geodesic --- Filament winding --- Winding angle --- Slippage coefficient --- Ingénierie, informatique & technologie > Ingénierie mécanique

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Engineering --- civil engineering --- geodesic engineering --- GIS --- remote sensing and photogrammetry --- construction fields --- Engineering. --- Construction --- Industrial arts --- Technology --- gis