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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
Polynomial Approximations To Mooring Forces In Equations Of Low-Frequency Vessel Motions, Bohdan W. Oppenheim, P. A. Wilson
Polynomial Approximations To Mooring Forces In Equations Of Low-Frequency Vessel Motions, Bohdan W. Oppenheim, P. A. Wilson
Systems Engineering Faculty Works
Multivariate polynomial approximations are considered to the coupled nonlinear mooring forces acting on a vessel moored with multileg moorings. The objective is to yield explicit forms of equations of the low-frequency vessel motions, since the exact mooring forces are known numerically only. Such forms could then be used for analytical solutions of the equations of motion. It is shown that the polynomials lack sufficient generality and accuracy for this purpose, and hence solution of the problem can be considered only by the exact method.
Low-Frequency Dynamics Of Moored Vessels, Bohdan W. Oppenheim, P. A. Wilson
Low-Frequency Dynamics Of Moored Vessels, Bohdan W. Oppenheim, P. A. Wilson
Systems Engineering Faculty Works
Three complete theories of the low-frequency dynamics of ships and disks moored with multileg mooring systems in deep water are derived, evaluated, and computerized. One theory is nonlinear; it includes the effects of cubic damping, nonlinear mooring forces and the excitation-yaw motion feedback, and it is handled by simulation. It yields random, regular and transient records, probabilities and statistics, exact and linearized transfer functions, and spectra of responses. The second theory is linear, solved in the frequency domain. The third is a static theory, which is a by-product of the linear one. Mooring lines of arbitrary compositions are considered.
Static 2-D Solution Of A Mooring Line Of Arbitrary Composition In The Vertical And Horizontal Operating Modes, Bohdan W. Oppenheim
Static 2-D Solution Of A Mooring Line Of Arbitrary Composition In The Vertical And Horizontal Operating Modes, Bohdan W. Oppenheim
Systems Engineering Faculty Works
A theoretical static solution is reported for a two-dimensional mooring line having an arbitrary multi-segment composition of wires, chains, synthetic ropes and buoys. The segments can be buoyant, neutrally buoyant or heavier than water, and they can be nonlinearly stretchable. The buoys can be of constant positive and negative buoyancy, thus representing submerged buoys and hung weights. A mooring line can operate in the 'horizontal' or slack mode, and in the 'vertical' or 'tension-moor' mode. In the former cese, a surface-floating 'spring-buoy' is allowed, as well as a linear slope of the sea bottom at the anchor.