About: Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission     Goto   Sponge   NotDistinct   Permalink

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  • 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/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM6840770039)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 201160
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/11:00187902
http://linked.open...riv/jazykVysledku
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  • tangent method; geodesic curves; localization; acoustic sources (en)
http://linked.open.../riv/klicoveSlovo
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
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kůs, Václav
  • Záveský, Michal
  • Duchéne, B.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • 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
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