Beta Distribution of Surface Elevation of Random Waves-中国Betway体育网页登陆

摘要 Aprobabilitydensityfunction(PDF)isderivedofbetadistributionwithbothλ3(skewness)andλ4(kurtosis)asparametersforweaklynonlinearwavesurfaceelevationbyuseofamethodrecentlyproposedbySrokosz.ThisPDFnotonlyhasasimplerformthanthewell-knownGram-CharlierSeriesPDFderivedbyLonguet-Higgins,butalsoovercomesanobviousshortcomingofthelatterthatwhentheseriesisunsuitablytruncated,theresultingPDFislocallynegative.TotestthederivedbetaPDF,laboratorialexperimentsofwindwavesareconducted.TheexperimentaldataindicatethatthetheoreticalrequirementsoftheparametersinthebetaPDFarefulfilled.TheexperimentalresultsshowthatthepresentPDFisinbetteragreementwiththemeasureddatathanthebetaPDFonlyincludingparameterλ3,andalsothantheGram-CharlierSeriesPDFtruncateduptothetermofH6.

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Beta Distribution of Surface Elevation of Random Waves

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