Variational Principles Related to Motions of an Elastic Plate Floating on a Water Surface

摘要

Variational principles related to motions of an elastic plate floating on a water surface are dis- cussed. Hamilton's principle related to motions of a plate and Kelvin's principle related to those of water are unified into Hamilton-Kelvin's principle. Hamilton-Kelvin's principle is then transformed into Hamilton-Dirichlet's principle. Some versions of the last principle are derived for applications to numerical calculations.