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lecture23 - IN RESPONSE TO AM AMEIENT wAu'E 26369139 C OF...

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Unformatted text preview: IN RESPONSE. TO AM AMEIENT wAu'E 26369139 C OF THE LEUEAI‘? SUPEEZPBSITIBM :5? THE LINEAR CAJAuE; Fame: DEAL-HY d‘THEE CQMSIQTIM REEL} um WAUES J on A FLDATrut-I STRUCTURE? , Lamar: EFFECT "m :59 THE. FOP—H : (I) iwntfl'fi 91cm = flee ZALFILMLM k. m C L4,...) 1‘3 EVALUNTED AMALHTIMLLV ma MUHEEICALLY AS DEScEIBEO EflELtEa. Tram OF‘THE CGKQBSPDNDIMQ Po Bag {‘10 BE ADDED 11:: TH; Bows.) HA Y 35 CAST m 0 THE. DEF-“m: SEDOHD*01?DER LINEAR DHE 0.5me A THE FORM : {1” 1L {wm+wejt+€ (4:34;?) 12m: H221 2.; Ema F“ e. LzJ— {{wK—MJ )t-f-iiérd: +n202§ MAJ I?“ e e a) ‘ k 9 THE SECOND POEDER COMPLEX TQAMgpgg (7,):t Fuwcnws Ea: (mmwg) FORTHESUHAND DIFFERENCE FEECQUENO! PROBLEMS ARE THE PfZIchPAL QUANTITIES T0 135 evALUATeo 9va THE Sena-now or THE sewn 0-13an PROBLEM. 6 For: VALUES 0F (k,£) THAT MAY 35 AS M245 AS‘ 30-80 FOE (25A L1§T(c SEASTATES’ Aug FOR @211wa THREE'DINEMS‘IONAL STE UJUKES)THL5‘ BEPKESEN‘TS A VEfiY S‘IQMIFICANT CoM PWATroNAL TASK. (T Cm BE REDUCED BYA FAcToraoF2 89 IMP031NC THE $YHHETE'I comm—now For?— HEfiMlTiAN F0 RMS : F KL za ._ YET 7’ng LEAVES A SlowFIc'Am' CCDHPW'ATIONAL. EFFQET leCH IN ITS GENEEAHTV [3 CARRIED m-r By THQEE—DIHEMSICJMAL, PANEL, HETHoDS 30 turn” THE $0M» AUD DIFFERENCE F‘ZFCSZUEMCY RADIATION AND DlFfiiZAC'noM 090811349 AEouNo FLO 15mm SWuCIuEES..; 0 IN THE DIFFERENCE“ ermveuq PROBLEM A USEFULAMD ACQUtZATE APPROXIMATION Fofz J‘Zch) ‘ I l$ AVAILABLE KNOWN As NEuJH/w s AP-Praoxmmrmm, IN ummzecnouAL wAves IT APPizoxmfla-Es THE TRANSFER Fumcnow As Fowws: ' .. (I; F (wuwe) ":3 { chlwr) De[w2)} k2 wHaae EDKJCLJQ IS THE Hex—M DmFT F0 was ON THE F—CaATIMG‘ PLATFORM AT Fizeaooemoy WK w HICH 1'3 D! 3 005960” EArauera. EVA pUA‘TED UULTH THE METHODS 0 THE [ZES‘uuT'oF THIS APPPOXIHATIOM 13 THA‘T THE SoLU’UOM OF THE secomro Eva: PROBLEM 13 Ccuouuemgp E-iUTIEELY! ‘7‘st \S IN PRACTICE verav DESIEABLE DUE To THECOHPLEXITY AND EFFORT w §OLUHUC SEQouo~oseOEE €20 BLEMS . 6 THE EVALUATMDU OF THE (ESSouz'IUG $Eemm>ovaoea R3245 Remap {327159 MAY BE CARRIEDO’U‘T ()5th FFT {Zoo-Tynes- ’ SPECTRAL DEM$ITY OF secouowaoaa EFFECI’S 0 IN WAC—rice; (‘r (s Necessmav To BEAELETD DeTsreuws THE yarns-non. Peeperzw—usg op LINEAK MUD $ECOND-O r2062 Fen-C59 AND VE$SEL RESPONSES. 9 THIS HAV BEACOODHPHSHED VlA nHZL—ZCT Szuuszom IN THE Tums DOMAIN WHEN APPKonU/H’E NUMERICAL. METHoDS A25 AyAlLABLE 0? (5‘1 SPECHZAL A—quwszs 1N Q0H5INAT¢0N wlTH APWZCDXIHATE LJMEAR RE$P0MSE H ODE LS. P ,4- @ (N THE CASE OF 3EC®ND—ORDER wrwe EFFECJ’S ON oFFSHoee PLATFORMS, Foe EXAM PLE THE Sww—DEIFT EXQtTA'NOU MUD RESPomye (3P gEHlsogMEFSHSLa) SQAe's M20 ‘TLP'S , Home: 02 TETHERED "Yo THE OCEAN FLCDO e) LtMEAIa V KES9OMSE HOPELS EXIST. THEY ABC- EXCITED way A Sacouowraoee Foeu; THE 895:1 RAL Dewsm/ or meH (Sf USEFULTO Know. 0 THE REHAIMDER oFTHlS sscnoro (DEF/NES’WE SVEC‘T?AL DENSITY OF THE SUN Aruo DIFFEEENCE quecovE—ch FotacE OMAN‘I FLOATING BoD‘i. c LET S‘Cw) BE THE SPECTPUH OFTHE AMBIENT SEASTA‘TE ASS‘UHESD UNI Dltzec'norvAL. THE RELATION Berweav 900) AND THE. AupLz-ru 953 OF THE PoL‘ICH-EmHATIQ AHtBIEMT $643TA'rt—Z A; wAs awe—N aeuerzAwo zaps—MED H526 Z Sfiw;)Aw = é/‘t; 0 LmEAE SYSTEM THEORY GIVEN $600) AND "THE COMPLEX TEA-USPS? ’AR Fakes Core OTHER ‘Tl—us 255mm“ 1% EXTENDED BELOW TO, 5‘5me 02062 pofzcES [Ami MOMENTS) ._ $UH- FIZECQU EMU] PROBLQH 0 THE .SPECTPAL DENSH'Y OF A SDH—FZEc—OUENO/ 1:an WITH Com PLEX QUADBATICTRAIUSFEIZ + FpNC'WN I: (wuwe) '3 Ma: 87 Tue Ex was 99cm C gn'reo Hem—:wtmcvr Weep): 5242 Sr: (:2)... <2 3 $0») SCH—«>3 x O (Pd-(w, 51-4»)! ZALJ‘. .__. Cum—:12: SO») 13 THE §P€CCEUH oF THE Maaewseqsm're DIFFERENCE -— FEELQUEUCY P120 ELEM 0 THE Coeeeseomoma EXPRE$SMN Fora—n45 DIFFERENCE—FEECQUE-NCV Peace: (3: (2) ~ 3.: (52>: 83 San) scszwb [F2w,w+&)l 2400‘ AND (34 lemcmC Nam ”Ads APPQoXIH A710»: (21‘ Po 3: C52)?! 8 3 So») 302.») x D TDQJJ) DCw+SZ)Q[w-—a_' ,A‘Lso 1T :3 USEFUL. 10 RECALL THE MEAN VALUE OF THE. mer FORCE m ANAHBIEUT SEASTATB corn—z SPECTEAL DENSITY S0»).- M—d 00 D: 2 8 SO») @(W)CLW._. NONLJNEAE K539010953 o F 90H ‘9“er OFFSHoEE PLATFORMS EXCITED 8V SECOND~ ORDER E FFECTS §PAE PLATFonu * XCt); SLow-DEIFT » ZCt) '5 $PEmmM4‘ m2 RESPONSE E'NG’NR . , RESPONSE ‘ CLowFRccfloENCY) 7 ‘ \CHICHFEEQDUENW) THE A'BOUE Two FIGURES ILLUSTZATE Two '1“: PICAL MomquAIL RESPONSES 0F COMPUAIUT OFFSHORE PLATFGRH§ DESIGNED TO 0 Para/we w ouATazs 0F LAEG‘E DEPTH FOR THE EXTRACTION OF OIL AND GAS FEOH SOB—SEA Ragga/0123 a SLOw»DE?FT eesPONSES XC-é) THESE ARE'TYPICALLY LAPGEAMPLITUDE . Lou» FREQUENCY RESPONSES o FTHE OEDER ox: MINUTES EXCITED By secouo-oaoaa DrFFERE—MEEFREcQUENw EFFECTS , A3 wELL AS TcHE DEPENDEPT UUHID~3r'CUR(?ENT3~ THE LATTEGZ NEE OF viscous NATUEE. AN EFFECTIVE MODEL. Fora X06) cs: 9 (Vi-HM SZLt7+ B>‘<Lt)+ C XCt3=$th) Tue Forzcma m THE EIGHT-HA N0 sung HAS SEEN STum EDA Bow; AND ITS S‘PELTEAL DENSIT‘I I3 ASSOHED KNOLUN. THE RENAININ4 COEFFICIENTS A621; SELECTED so As To ALLOW Tm: LHJEA t2 W 976 H7. 82- As CLOSE: 7n REALITY. __ C €<>Iznmawa RESPONSES oF ‘TLP'S 206) ' THEY A2135 BECAUSE OF THE FLEXO [EAL 259%: ~35 0F THE PRETEIUSIO‘NED TEN-(Eyes 03: WSW» LEG PLATFORMS OPERATING IN CUATefZS 0‘: LAKGEDEPTH. THEY Aczsexmsb Pawnmw BY SECOND~OEDER OR N025 EXTREME NONUNEAR EFFECTS AND CAN ALSO BE 'Hooeueo EFFE crweuv 84/ A U NEAR SYSTEM? + CH+A>ZLt7 + 8 2m + (1209: {Fans} THE Agavebesuetp'nom Does NOT eerzczTLY 25cm G MIZE [MALT TYPE LOADS Known: AS Ewcwc THAT MAY BE ADDED To Tm: RIGHT-— HAND SIDE. a THE SPEC‘HNlL DENSlTY 0F- ¥2+C+J 1% DETEPHHUED A9 DISCUSSED ABouE . . IN BWH TYPES OF PPsBLEHSITLS ESSEMZAL To MODEL PQAPERLY AND IN CLUDE INTO A LINEAR DAMPWG CisEFF-‘IUEM' B (be A New UNEAE Horeisoww PE Téen) ALL EFFECTS THAT MAY INFLUENCE/THE PLATFMEM {EESPoNse AT RESONA ~c5.~ ». ...
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