ACKNOWLEDGMENTS 
In its character, this report is a review of the state—of—the—art studies of a certain 
field, so this author summarized here, not only his own works related to this field, but 
also many other works published by many researchers, some quite long in order to keep 
the report self-explanatory. Here, this author wishes to express his debt of gratitude to 
these scholars, as H. Akaike, M. B. Priestley, S. M. Pandit and S. M. Wu, T. K. Caughey, 
S. H. Crandell, M. Hineno, J. F. Dalzell, J. B. Roberts, T. Ozaki, and many others. 
This manuscript was based on the lecture series this author prepared for the 10th 
David W. Taylor Lectures at DTINSRDC given on July 2, 9, 16, and 23, 1985. Most of 
the works reviewed in this report were summarized while the author stayed at the United 
States Naval Academy, as NAVSEA Professor 1984-1985. The author wishes to thank 
NAVSEA and the U. S. Naval Academy for the opportunity to stay there and to do this 
work. 
He wishes to express his sincere thanks to Professor R. Bhattacharyya, Head of 
Naval Systems Engineering at the U. S. Naval Academy at that period of time, who en- 
couraged him throughout this period; and to DTINSRDC, where Dr. A. Powell was the 
Technical Director, for the honor of being the lecturer for the 10th David Taylor 
Lectures. 
He also wishes to thank Dr. W. B. Morgan and Mr. J. H. McCarthy, who took the 
kindest care of him at the time of these lectures, and to the late Dr. W. E. Cummins and 
Mr. J. F. Dalzell, who encouraged him all through these lectures. Thanks are also due to 
Mr. H. Oda of the Akishima Laboratory, Mitsui Engineering and Shipbuilding Co. Ltd., 
who performed most of the numerical examples given here. The author also thanks 
Professor W. Kato, Dean of the College of Science and Technology, Nihon University, for 
allowing him the leave of absence for his stay at the U. S. Naval Academy, and Mitsui 
Engineering and Shipbuilding Co. Ltd., for permitting him to prepare this document after 
coming back to Tokyo. 
The author would also like to thank the DTNSRDC Publications Branch for their 
hard work in the preparation of this report. 
397 
