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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • e-ISSN

  • 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