Calculation of coupled heave and pitch motions

This section describes the strip theory formulation used to compute the coupled heave and pitch motions.

§   Heave and Pitch Motion of a Vessel in a Seaway

§   Solution of Coupled Heave and Pitch Motions

§   Global Added Mass and Damping (Strip Theory)

§   Wave Excitation Force and Moment

§   Arbitrary Wave Heading

§   Diffraction Force

§   Froude-Krilov Force

§   Head Seas Approximation

§   Salvesen et al. (1970) Approximation

§   Wave Attenuation (Smith Effect)

§   Added Resistance of a Vessel in a Seaway

§   2D Ship Sections

§   Calculation of Added Mass and Damping of 2D Ship Sections

§   Calculation of multipole expansion coefficients

§   Least squares solution to over-defined set of linear equations

§   Calculation and integration of pressure functions around contour

§   Evaluation of hydrodynamic coefficients

§   Checking the solution

§   Important notes

§   Added Mass at Infinite Frequency

§   Non-Dimensional Damping Coefficient

§   Non-Dimensional Added Mass

§   Non-Dimensional Frequency

§   Representation of Ship-Like Sections by Conformal Mapping

§   Derivative of Conformal Mapping

§   Shear Force and Bending Moment due to Ship Motion in a Seaway

§   Inertial Component

§   Hydrostatic (Restoring) Component

§   Wave Excitation Component

§   Hydrodynamic Component