Abstract
A general expression for the impact pressure distribution on the flat bottom ship making slamming motion in waves is derived by matched asymptotic expansion on the bases of the shallow draft and the gravity free assumptions. 3-D flat plate formulation is utilized to have the solution in the outer region. For the solution in the inner region, its flow similarity to 2-D planing plate flow of which solution is known analytically is made use of. Both solutions are matched asymptotically to make them determinate and a composite solution valid in the entire region is obtained. The calculated results are compared with the experiments done by using free running model of a bulk carrier. Agreements between the experiments and the estimation based upon the OSM ship motion data are not satisfactory as expected. The cause of the discrepacy has been examined to find that it should be attributed to lack of the accuracy of the OSM estimation rather than the present pressure formula. It is shown that the situation can be improved considerably by using measured ship motion data instead of the OSM data.
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