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Die Klotoide in der horizontalen Trassierungslinie : Verallgemeinerung der Trassierungsaufgabe mit einer Realisierung / Alajos Peter Krasnai (1989)  

Public Titre : Die Klotoide in der horizontalen Trassierungslinie : Verallgemeinerung der Trassierungsaufgabe mit einer Realisierung Titre original : [La clothoïde dans les lignes horizontales de trace, généralisation du problème de traçage avec sa réalisation] Type de document : Thèse/HDR Auteurs : Alajos Peter Krasnai, Auteur Editeur : Zurich : Institut für Geodäsie und Photogrammetrie IGP - ETH Année de publication : 1989 Collection : IGP Mitteilungen, ISSN 0252-9335 num. 045 Importance : 95 p. Format : 21 x 30 cm Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Cartographie numérique [Termes IGN] alignement [Termes IGN] géométrie différentielle [Termes IGN] objet géographique linéaire [Termes IGN] réseau ferroviaire [Termes IGN] réseau géodésique tridimensionnel [Termes IGN] Suisse [Termes IGN] système non linéaire [Termes IGN] tracé automatique Résumé : (Auteur) In the planning of railway alignment lines there are problems of economical, dynamical and geometrical nature which must be solved. The scope of the present work is confined to the pure geometrical problems. For solving these, the methods that numerically imitate solving the problems with compass, straight-edge and spiral-ruler were refused, because the number of possible cases is too large to solve in an adequate time. To generalize and standardize, the methods of solving the geometrically possible problems concerned the alignment will be referred to as differential geometry. Starting from the natural equations of alignment elements (straight-lines, circles and spirals) through the choosing of the coefficients of integration, these elements will be embedded in the geodetic coordinate system. The restrictions of this embedding guided the author to the following principles, which have made it possible to generalize and standardize the pure geometrically problems of alignments: Each alignment element will be presented parametrically and the parameters will be regarded as unknown variables in the corresponding equations. The reality that the alignment line is a continuous sequence of alignment elements will be formulated by contact equations. All items that are known for the planning surveyors in the geometric task can be put in an explicit form of equations - as conditions -expressed by the unknown parameters and by the given items. Provided that the items are independent, the prepared equations are independent also. In the case that the items are dependent, new equations must be made up by means of the introduction of new unknown variables. The system of nonlinear equations can be handled by the introduction of characteristic variables for the unknown parameters and of an index table for the equations. Based on these principles, the numerical tools were established systematically. These tools guided the author to different types of tasks of constructions. There are tasks containing only one alignment element independent of other elements, and tasks concerning the alignment as a collection of alignment elements. The computer program LINPRO was developed by the Swiss Federal Railways observing special conventions. In this implementation the generated system of nonlinear equations are solved by means of various methods based on the theorem of fixed point of iteration. For the derivation of a point needed by this theorem, the given geometric items were primarily used, and secondarily, formulas derived from the dynamic of motions of trains. As an expansion of the current computer program, an interactive graphic system for developing horizontal alignment lines for the railways will be proposed. A three dimensional network with curved lines will be discussed as a further possible application of the elaborated principles. Numéro de notice : 27832 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE Nature : Thèse étrangère DOI : 10.3929/ethz-a-000502186 En ligne : http://dx.doi.org/10.3929/ethz-a-000502186 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=56455

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
27832-02	39.20	Livre	Centre de documentation	En réserve M-103	Disponible
27832-01	39.20	Livre	Centre de documentation	En réserve M-103	Disponible