TABLE OF CONTENTS 



Page 



LIST OF FIGURES iv 



LIST OF TABLES v 



NOTATION vi 



ABSTRACT 1 



ADMINISTRATIVE INFORMATION 1 



INTRODUCTION 1 



BOUNDARY -VALUE PROBLEM 2 



VELOCITY POTENTIAL OF STEADY FORWARD MOTION 5 



UNSTEADY POTENTIAL DUE TO OSCILLATION 5 



SOLUTION OF THE POTENTIAL FUNCTION WITH THE 



SLENDER-BODY ASSUMPTION 10 



Outer Problem 11 



Inner Problem 11 



MATCHING 13 



INNER SOLUTION 14 



DIFFRACTION POTENTIAL 16 



HYDRODYNAMIC FORCES 18 



ADDED MASS AND DAMPING 19 



EXCITING FORCES 21 



EQUATIONS OF MOTION 24 



RELATION OF TWO-DIMENSIONAL SOURCE STRENGTHS BETWEEN THE 



FRANK CLOSE-FIT METHOD AND MULTIPOLE EXPANSION METHOD 25 



DERIVATION OF THE KERNEL FUNCTION 28 



1/2 



CASE 1 - 4(mK) ' cos 9 < 1 29 



CASE 2 - 4(mK)"'"'^ cos 9 > 1 29 



CASE 3 - cos e < 29 



RESULTS AND DISCUSSION 35 



SUMMARY AND CONCLUSIONS 45 



ACKNOWLEDGMENTS 47 



