THE THEORY OF NON-LINEAR ELASTIC SHIP–WATER INTERACTION DYNAMICS

✍ Scribed by J.T. XING; W.G. PRICE

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 305 KB
• Volume: 230
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1999.2655

✦ Synopsis

Non-linear mathematical models are developed to provide formulations of the equations of motion describing the dynamical interaction behaviour between an incompressible or compressible ideal #uid and a moving or "xed, elastic or rigid structure. The general theoretical approach is based on the fundamental equations of continuum mechanics, the concept of Hamilton's principle and suitably formulated variational principles. The resultant mathematical model, expressed in a "xed or a moving frame of reference, allows the theoretical establishment of non-linear problems associated with ship dynamics and o!shore engineering. Through applications of the variational principles, this is demonstrated by rigorously deriving the governing equations of motion for general non-linear ship-water interaction problems. In particular, the theory is applied to a rigid ship travelling in calm water or in waves, a bottom-"xed rigid rod or tower excited by an incident wave and a two-dimensional elastic beam travelling in waves. 2000 Academic Press *( ) *x G " *( ) *y G , *( ) *t " *( ) *t !< K *( ) *y , * D ( ) Dt "( ) R # * v G ( ) G " D( ) Dt ,