Abstract
Lagrange's equations of motion, describing the motion of several bodies on or below a free surface, are here derived from Hamilton's variational principle. The Lagrangian density is obtained by extending Luke's principle to the wave-radiation problem, and the hydrodynamical loads on the bodies are expressed in terms of the Lagrangian density and its derivatives with respect to the generalized coordinates of the bodies.
| Original language | English |
|---|---|
| Pages (from-to) | 229-237 |
| Number of pages | 9 |
| Journal | Journal of Ship Research |
| Volume | 28 |
| Issue number | 4 |
| State | Published - Dec 1984 |