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

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 describeand 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. Thestep 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 describeand 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. Thestep 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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

SPMS 2011 Stochastic and Physical Monitoring Systems - Proceedings

ISBN

978-80-01-04916-7

ISSN

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e-ISSN

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Počet stran výsledku

7

Strana od-do

17-23

Název nakladatele

ČVUT, Fakulta jaderná a fyzikálně inženýrská

Místo vydání

Praha

Místo konání akce

Křižánky

Datum konání akce

27. 6. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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