About: Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper concerns the localization of the defects on the surface of a solid body, which is mathematically described as a conjunction of several simpler shapes of parametrized surfaces like cylinders, toroides, spheres, cones,.. with intersections. The shortest path can be found through the geodesic equations (known from differential geometry) by means of the very extensive and complicated numerical computations like Functional Iterations or Newton-Raphson iterative method. Instead of this, we describe and illustrate the algorithm for finding the geodetic curves by applying geometric approach based on surface steps within the directions selected through the normal vector of tangent plane at sequentially proceeding points on the surface considered. The step length is adapted according to the curvature and the torsion of the surface. The specific examples and applications of the geometric algorithm will be given under the concept of Acoustic Emission source localization principle. The paper concerns the localization of the defects on the surface of a solid body, which is mathematically described as a conjunction of several simpler shapes of parametrized surfaces like cylinders, toroides, spheres, cones,.. with intersections. The shortest path can be found through the geodesic equations (known from differential geometry) by means of the very extensive and complicated numerical computations like Functional Iterations or Newton-Raphson iterative method. Instead of this, we describe and illustrate the algorithm for finding the geodetic curves by applying geometric approach based on surface steps within the directions selected through the normal vector of tangent plane at sequentially proceeding points on the surface considered. The step length is adapted according to the curvature and the torsion of the surface. The specific examples and applications of the geometric algorithm will be given under the concept of Acoustic Emission source localization principle. (en)
Title	Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission (en)
skos:prefLabel	Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission (en)
skos:notation	RIV/68407700:21340/11:00187902!RIV12-MSM-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	S Z
http://linked.open...avai/riv/aktivity	S, Z(MSM6840770039)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Záveský, Michal Kůs, Václav
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	201160
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/11:00187902
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	tangent method; geodesic curves; localization; acoustic sources (en)
http://linked.open.../riv/klicoveSlovo	acoustic sources geodesic curves tangent method localization
http://linked.open...ontrolniKodProRIV	[EEE61157D594]
http://linked.open...v/mistoKonaniAkce	Křižánky
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	SPMS 2011 Stochastic and Physical Monitoring Systems - Proceedings
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Kůs, Václav Záveský, Michal Duchéne, B.
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2011-06-27 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
number of pages	7 (xsd:int)
http://purl.org/ne...btex#hasPublisher	České vysoké učení technické v Praze. Fakulta jaderná a fyzikálně inženýrská
https://schema.org/isbn	978-80-01-04916-7
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission

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