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The drive towards reducing aircraft engines' aerodynamic losses has led engineers to reduce the clearances between blade tips and their surrounding casing, thereby increasing the risk of blade/casing contact interactions. Tools to accurately predict subsequent nonlinear dynamics are thus essential at design stage. Design of Experiments and the construction of surrogate models are very effective in studying complex and costly experimental blade/casing devices. Nonetheless, the convergence of surrogate models is linked to the smoothness of the response, evidencing the requirement of new approximation approaches for discontinuous responses. In this context, this report proposes a methodology to localize discontinuities in a 2D Design of Experiments inputs space in order to apply approximation methods on the smooth subdomains subsequently. First, a mesh is constructed on the inputs parameter space using a Delaunay triangulation and gradient-based indicators along with polynomial annihilation are then used as refinement indicators. The proposed methodology makes use of the Support Vector Machine to create a smooth approximation of the discontinuity location. Local improvement of the solution is finally completed. The applicability and the robustness of the proposed discontinuity localization tool are then tested on a variety of analytical models. The test cases have demonstrated satisfactory localization of closed discontinuities, multiple discontinuities in the same model, and discontinuities running partially through the domain. The numerically costly engineering model of blade/casing contact interactions is then considered and the proposed methodology is used to localize a jump in the response.
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L’expérience des ruines peut amener à une réflexion sur le devenir de l’humanité et de son Histoire. En effet, ce recueil s’interroge sur le destin des ruines, leur destruction, leur idéalisation, leur requalification, en soulignant l’entremêlement des critères idéologiques et esthétiques qui président à leur abandon, leur conservation ou leur remploi. Car la ruine est liée à la décomposition du bâti urbain, à sa transformation, à la création de parcs à fabriques, aux dévastations des guerres mondiales, à l’apparition de nouveaux lieux de la précarité urbaine. L’étude de la représentation de la ruine met à jour des poétiques nouvelles à travers les pratiques artistiques contemporaines. Les contributions des archéologues, des architectes, des spécialistes de littérature française et comparée, des philosophes, des artistes et des historiens de l’art font de cet ouvrage interdisciplinaire une étude renouvelée et actualisée du paradigme de la ruine.
Literature (General) --- ruine --- architecture --- bâti --- ville --- poésie --- vestige --- caducité --- esthétisme --- paysage
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