A METHOD FOR DETERMINING THE VIRTUAL MASS DISTRIBUTION AROUND A VIBRATING SHIP
1970
Hicks, A. N.
A method is presented for determining the three-dimensional virtual mass distribution associated with the vertical girder vibration of ships. The method was developed for use with a lumped mass/weightless beam ship representation and is based on a set of dipole distributions along the ship axis. It provides a virtual mass matrix with off-diagonal elements and enables all the vibration frequencies and shapes of the ship to be computed from a single matrix equation. The usual method for determining the frequencies and shapes uses a separate mass matrix for each mode. The method is preferable to the standard one for short or unusual ships and mode shapes, or where it is desirable to include all modes in a single equation. However, if separate consideration of each mode is acceptable, the standard technique is simpler for normal ships.
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