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The cantilever based on wavelet finite element crack identification

erecentdevelopments. JournalofComputationalandAppliedMathmatics, 2001; 128:133-18513NandwadaBP,[link widoczny dla zalogowanych], MaitiSK. Detectionofthelocationandsizeofacrackinsteppedcantileverbeamasedonmea-surementsofnaturalfrequencies. JournalofSoundandVibration,[link widoczny dla zalogowanych], 1997; 203 (3) :435-44614ChinchalkarS. Determinationofcracklocationinbeamsusingnaturalfrequencies. JournalofSoundandVibra-tion, 2001; 247 (3) :417-429Identificati0nofCracksinCantileverBeamBasedonWaveletFiniteElementMethodsLiBingChPXuefengHuQiaoHeZhengJia (SchoolofMechanicalEngineering,[link widoczny dla zalogowanych], Xi'anJiaotongUniversityXi'an,[link widoczny dla zalogowanych], 710049) Inthispaper,[link widoczny dla zalogowanych], theblemiStodetermineforwardandinverseproblemsinthedetectionofcracksincantileverbeamarestudied. TheforthreenaturalfrequenciesofthecrackedbeamtOgivethelocationandsizeofthecracknverseproblemistOdeterminethelocationandsizeofthecracktOgivethefirstfewnaturalfrequenciesofthecrackedbeam. Basedonwaveletfiniteelementmethodsthemodelofacrackedcantileverbeamwithrectangularcross-sectionasanexampleisconstructedandthefirstthreenaturalfrequenciesareobtained. Thecrackismodeledasarotationalspring. AfastalgorithmispresentedtOsolvetheinverseproblem. Thenthegraphsofspringstiffnessversuscracklocationareplot-tedforeachnaturalfrequency. Thepointofintersectionofthecurvesgivesthelocationofthecrack. Thenumericalexampleindicatesthatcurrentmethodiseffectiveandaccurate. ThisstudyprovidesanewmethodfortheprognosisanddiagnosisoferacksinstrilcturesKeywords: beam; crack; identification; wavelet; finiteelementmethods Bing male first author , doctoral students in December 1976 . Phone : (029) 82667963; E-mail: bli @ mailst. xjtu. edu. cn

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