Abstract
The concepts of MacLautin's and Taylor's series expansions are adapted to the general time-dependent Volterra functional series. Examples of the resulting techniques are discussed in relation to the behaviour of a ship model undergoing steady towing and planar motion mechanism oscillatory experiments. The analysis is extended to include the description of the fluid forces acting on a ship model excited in small perturbations about an existing large parasitic motion. It is shown that a linear approximation to the description of the fluid motion can be found, and the theory is used to develop a general analysis that permits more sophisticated model experiments to be undertaken and provides a rational means of interpreting experimental measurements taken when a model is oscillated in waves. The analysis is extended to a model that performs a parasitic motion about a mean position fixed in a wave, and also to include the general description of a fluid action dependent on several large parasitic motions such as may occur when a ship is excited in a seaway.
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