THE DISPERSION CURVE APPLIED IN GUIDED WAVE PROPAGATION IN PRISMATIC RODS

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EDUARDO BECKER GROTH
IGNACIO ITURRIOZ
THOMAS CLARKE

Abstract

THE EARLY DETECTION OF FAILURES IN STRUCTURES IS A SUBJECT OF GREAT INTEREST IN ENGINEERING; SEVERAL OF THESE TECHNIQUES ARE LINKED WITH THE ELASTIC WAVE PROPAGATION, BEING THE GUIDED WAVES ONE OF THESE ALTERNATIVES. SEVERAL STRUCTURES OF INTEREST IN ENGINEERING ARE LAMINAR STRUCTURES; THE WAVE PROPAGATION IN THIS TYPE OF STRUCTURES DEPENDS NOT ONLY ON THE MATERIAL PROPERTIES, BUT ALSO ON THE STRUCTURAL GEOMETRIC PARAMETERS, SUCH AS THE PLATE THICKNESS. TUBULAR STRUCTURES, PRESSURE VESSELS, TANKS AND ALSO PARTS OF SHIPS HULL COULD BE CONSIDERED LAMINAR. THE ELASTIC WAVES THAT PROPAGATE IN LAMINAR STRUCTURES COULD BE CONSIDERED AS A SUM OF MODAL SHAPES THAT HAVE ITS WAVE LENGTH AND FREQUENCIES DEFINED. THESE MODE FAMILIES ARE CHARACTERISTICS OF EACH STRUCTURE AND COULD BE REPRESENTED THROUGH THE DISPERSION CURVES. THE DEFINITION OF THESE DISPERSION CURVES IS OF CRUCIAL IMPORTANCE TO UNDERSTAND THE PROPAGATION OF GUIDED WAVES IN THE STRUCTURE STUDIED. IN THE PRESENT WORK THE DISPERSION CURVES WERE GENERATED USING THREE DIFFERENT METHODOLOGIES. THEIR WILL BE SPECIFIC FOR METALLIC RECTANGULAR STEMS THAT COMPOUND THE STRENGTHENING ARMOR IN FLEXIBLE RISER DUCT. THE APPROACHES PRESENTED IN THE ANALYSIS WERE CARRIED OUT USING STANDARD FINITE ELEMENT COMMERCIAL PACKAGES AND AN EXPERIMENTAL VERIFICATION, AS WELL. THE PREMISE IS TO PRESENT THE TOPICS IN THE SIMPLEST WAY, NOT ONLY TO UNDERSTAND HOW THE DISPERSION CURVES ARE BUILT BUT ALSO HOW THESE CURVES MUST BE INTERPRETED.

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Author Biographies

EDUARDO BECKER GROTH, Laboratório de Metalurgia Física, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brasil

Phd Student, Laboratory of physical metallurgy  (LAMEF), Federal University of Rio Grande do Sul (UFRGS)

IGNACIO ITURRIOZ, Grupo de Mecânica Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brasil

Prof,Applied mechanical group (GMAp), UFRGS

THOMAS CLARKE, Laboratório de Metalurgia Física, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brasil

Prof., Laboratory of physical metallurgy  (LAMEF), Federal University of Rio Grande do Sul (UFRGS)