In this note we correct some statements that appeared in the paper. In the paragraph beginning with “The finite element models of 5,000 DWT ship bow,” the parameter in is not the modeled depth of ship bow. The parameter should be the total depth of ship bow, which is 8.0 m and 11.8 m for 5,000 DWT and 10,000 DWT ships, respectively. We rewrite the related statements as follows: where is the total depth of ship bow ( m and 11.8 m for 5,000 DWT and 10,000 DWT ships, resp.); is the ratio of the pile-cap depth to the total depth; the -subscript means the results associated with the pile-cap with the depth of (e.g., is the contact force at the pile-cap depth of ); similarly, the -subscript indicates the results associated with rigid walls.

Additionally, and in this paper are rewritten to make them clear as follows: