In Navy language, any kind of running record is called a "log." Many such logs are kept on board Navy ships. Most of these are not kept permanently. Deck logs from commissioned ships are the only logs sent to the Naval History and Heritage Command to be kept as permanent records and, eventually, transferred to the National Archives.
http://www.history.navy.mil/faqs/faq73-1.htm
Please use the above link to see if the logs you are looking for are held.