Continues Model for Vertical Vibration of Tension Leg Platform

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1 Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a pp58-53 Coies ode o Veia Viaio o esio Leg Pao. R. SPOUR.. GOLSNI. S. SI Depae o Cii gieeig Sai Uiesi o eoog zadi e. ea P.O. ox: IRN sa: -I is pape e dai espose o e eg o a esio eg pao ee seed o e oad siaed as oea wae a e op o e eg is peseed. e sa ode is e sipe seea opiaed aos s as odaio ee oa ad siaed oea wae oad ae osideed. wo oios odes ae poposed o pese e sa sse ad e eioed ees. e poe is soed eas o o-aoi oie expasio i es o eigeios oaied o a o-ega S-Lioie sse. Ke-Wods: - LP xia iaio Coies ode Wae oad Iodio esio eg pao LP is a we-ow se o oi expoiaio i deep wae. a sdies ae ee aied o o desad e sa eaio o LP ad o deeie e ee o seea paaees o dai espose ad aeage ie ie o e se [-4]. e os ipoa poi i e desig o LP is e peesio o e egs. e peesio ases a e pao eaes ie a si se wi espe o e eia degees o eedo eae pi ad o weeas wi espe o e oizoa degees o eedo sge swa ad aw i eaes as a oaig se. og e aios degees o eedo eia oio eae is e ipoa ease o e die ee o e sess aio a eads o aige ad ae o ees. eeoe e oepa sdies o desad e dai eia espose o LP a e se o desiges. Rossi e a. 996 peseed a aaia soio o e dai espose o e eg o LP seed o a axia sdde appied oad a oe ed [5]. e appied oad was osa ad e ee o e oa was o osideed. e ai o is pape is e soio o e eioed poe sig wo odes. e sa odes ae e sipe seea opiaed aos s as odaio oa ad siaed oea wae oadig ae osideed. e is ode e odaio assed igid a e seod ode i is assed a e odaio is eedded i e oea oo wi as as a Wie-pe odaio. e oa is odeed as a spig a e op o e eg. oeaed oe is appied a e op o e eg as siaed oea wae oad. e poe is soed eas o o-aoi oie expasio i es o eigeios oaied o a o-ega S-Lioie sse [6 7]. aespo e a. 4a ae iesigaed e ee o added ass aio o e eae espose o esio eg pao o a disee ode sig peaio eod [8]. oies ode o eia oio o LP osideig e ee o oies odaio as ee epoed aespo e a. 4 [9]. so aespo e a. 4 ae peseed a osed o oaio o e ee o added ass aio o e eae espose o esio eg pao osideig oies ode []. Geea oigaio o LP is sow i ig..

2 ig. - Coigaio o LP aia Soio o e ode e sa ode o e sse is sow i ig.. e eaio o e sse is desied e oowig dieeia eqaio wee is sep io is e axia deoaio is e og ods o e ee aeia ad ae e oss seioa aeas o e ee ad odaio espeie ad ae e desi o ee ad ig. - Dai sa ode odaio aeia espeie ad ae e eg o ee ad odaio espeie ad deoes e Dia dea io. e appied eia oad seed o e ass is e geeaed wae oad φ N si oaied o e wae spe. e sse is iea eeoe e soio o e eqaio is aied o osideig a sige e ip si ad e e oea espose o e sse is eaaed saio o a esposes. e iiia odiios ae e ass disiio ios ae deied as 3 I e ase o ee iaio q. eoes 4 qaio 4 a e soed assig seed o e oda odiios 5 Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a pp58-53

3 6 7 qaio 4 a e soed o wo pas o e a. I oe as o 8 wee. Usig sepaaio o aiaes e eigeios ae deeied as si 9 wee is e sepaaio osa ad ad ω is e aga eqe. I oe as o wee. Siia sig sepaaio o aiaes e eigeios ae deeied as si os wee is e sepaaio osa ad ad ω is e aga eqe. I is ea a dispaee ad oe ae oies a o. o e oii i dispaee oe as o si si os so e oii i oe gies 3 o os si os si 4 e oeiies ad a e deeied soig qs. ad 4. ee ae ozeo soios i os si os si si si os 5 Now e eqe eqaio is esed as Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a pp58-53

4 a a a a 6 wee: : oa ass o e ee; : oa ass o e odaio; : e axia siess o e ee ad : axia siess o e odaio. e espose o e ee seed o axia oad a e expessed i es o oa odes o e sse ease o e oogoai o e oa odes i a e sow a a Deiig ad qaio a e ewie as 3a 3 4a 4 4 ipig q. d d d ad iegaig ewee ad oe oais d d d & 5 o d d & 6 sie saisies 8 ad saisies oe as Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a pp58-53

5 7 8 Ssiig 7 ad 8 i 6 ad appig 3 ess i si & 9 Soig e aoe dieeia eqaio oe as si si os 3 wee 3 Iiia odiios ess i ; 3 ad si si 33 o si si 34 ad φ si si 35 ad si os si 36 Now e dai espose o e ee is N 37 e dai sess o e ee eoes σ 38 3 Cosio e aaia soio o e ee espose o LP was peseed o a sipe oios ode. e appied oad is a siaio o oea wae. Soe opiaed aos s as odaio ee ad oa wee osideed. e peseed soios gie a oepa iew o e eae espose o LP de sea wae oads. e oaio peseed eei a e sed i aaia sd o aige ie o ees. Reeees Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a pp58-53

6 Poeedigs o e 9 WSS Ieaioa Coeee o ppied aeais Isa e a pp58-53 [] ad S. 996 Soasi LP espose de og esed ado sea Joa o Copes ad Ses 66 pp [] Jai.K. 997 Noiea oped espose o osoe esio eg paos o ega wae oes Oea gieeig 4 7 pp [3] aise O.. Va oo R.W. ig I.J. ad eige P.S. 98 eoeia ad expeiea iesigaios esio eg pao eaio Poeedigs o OSS pp [4] Lee C.P Dagged sge oio o a esio eg se. Ieaioa Joa o Oea gieeig [5] Rossi C.. Laa P... ad ai D.V. 996 Dai espose o e eg o a LP seed o a axia sdde appied oad a oe ed Oea gieeig 33 pp [6] eede. Gia. ad Pazoe R. 974 O eai o-aoi oie expasios as eigeios o o-ega S-Lioie sses Isio de aeaia Piaio No. 4 Uiesidad Naioa de S aia aa geia. [7] Laa P... Rees J.. ad Rossi R asis o a ae-ie sse sdde sopped a oe ed J. Sod Vi. 37 pp [8] aespo R Goasai ad Sei S 4a. e e o dded ass aio o eae Respose o Copia Osoe Ses Po 8 Ieaioa Coeee o eaia gieeig IS Ia I Pesia. [9] aespo R Goasai ad Sei S 4. Sipe odes o eae Respose o LP de aoi Veia Load Po 8 Ieaioa Coeee o eaia gieeig IS Ia. [] aespo.r. Sei.S. ad Goasai.. 4 Veia espose o LP wi e ee o added ass aio 6 Sposi o eo ad Paie o Sipidig Coaia.

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