TABLE OF CONTENTS 
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NIB SIRRIA Gli rasscts crs cionlatoar Ata S he a Sale oe Hes ELSE ac REE ae Ta a eS RAE tt ee eB MS hai ante tee ] 
ADMINISBRAGIVESINEORIMATIONP eae cecscsartese reer crecet eco eeacncccctaacstadnecbertasteeascae seater nes 1 
INE RO DU GTO Neer cree ee asc hh esc sea oe ee ee a ea tae eet endataets Mebaadace UA taeen 2 SSAA ] 
MATHEMATICAT: FORMULATION 2.235 2R i Se emesenceietacaueendecctenetedseeteeuseteteuneds sbenken ct 2 
GEINEIRIAT eels a Mic ome Miss kaka ry Riad eo eb da Mette Ay uattae dated ute aaa a lula cena u nae D 
TWO-DIMENSIONAL HYDRODYNAMIC FORCE ...........cceecccecceceeseetseseeseeeseeeeeeecees 3 
TOTAL HYDRODYNAMI©G FORCE AND) MOMENT) «ore. ccc. ciccccccccescceescc-coccecececseeeee 6 
EOQUATIONSIORSMOMON GENERA ee seere ere cee catea ee aeeraaes eonce eee eee een asaee eee 8 
EQUATIONS OF MOTION, SIMPLIFIED FOR 
CONSTANT SREED iain Leen rt. 0 eae Peete sec nora bt vavalanana tneabisnaiestceenceveeteecenters 9 
COMPARISON OF COMPUTED RESULTS WITH EXPERIMENTS ............ eens 10 
CONCEUSIONSFAINDIRE COMMENDATION S eesccccceecrcsescoaseccesereceee cece cee ceeeeeccteeeceeeeeece 13 
INCKNOWEEDG MENTS tocecio lta toy sesui Miaka nebete esta ccrurvumal Anse dbestanmccastn rat Sat hmalataernics Mlseaemvas 13 
RO IEIREINGES riees ucuecasensl ati sausunasaauleiatsh Sas detest cdtewealel nasteleneatetaccuatien ar wrateoe dees meacetericmeatemstnc 333} 
APPENDIX A — EVALUATION OF HYDRODYNAMIC FORCE 
AND IMOMENTAINEGRAICS crete nce rerscecoacterauettcnedeadccussstmeceemeceu bean sachet 35 
APPENDIX B — COMPUTER PROGRAM DESCRIPTIONS 1.0.0.0... ceeeeeeeceeeeeeeeeeeeeeeeeeeees Bo) 
LIST OF FIGURES 
a Coordinates SVstennescascccssrcesectsce desetescctesnesuemuascersboealst ences seelrele denamstetusweacecebauclsnesaieiomeistses 14 
2, = TOES OI? TUNyrO> Diba aSOrmell JEON,  bassssscoccqcccononssocosopsasanastonodbsadenbaocqosnaonansonsoadasedecoq0000 14 
BE—WIbinesvOlmenSmMationMOdelSiawees.cayetsstantacauaaseccs usc Susees lawamcld somes sneauaeteswellesvesscamesuientsdess 15 
4 — Sample Time Histories of Computed Pitch and Heave Motions...............cceeeeeeees 16 
5 — Sample Time Histories of Computed Accelerations of Bow 
arrade Ge nite rao fit Gravity ieee ean ck creer ese ce eee a ratte Natrol aac DA Oe ee en eA 17 
6 — Variation of Pitch and Heave with Wave Height 0.0... eeececccse esse eeeeeeeeeeneeeeee 18 
7 — Variation of Acceleration of Bow and Center of Gravity 
AVIGHWAWIAV.CR El ele (ite ee a ouMRMe Noel NUE ee IN UES ae eal aati ary sav bualsusbinceece va usaubesesenuccildeceesser eas 19 
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