Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00187902" target="_blank" >RIV/68407700:21340/11:00187902 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Geometric Tangent Method for Geodetic Curves Construction with Applications in Acoustic Emission
Original language 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 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
7
Pages from-to
17-23
Publisher name
ČVUT, Fakulta jaderná a fyzikálně inženýrská
Place of publication
Praha
Event location
Křižánky
Event date
Jun 27, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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