In this paper, a method used to analyze the sloshing of liquid in a tank subjected to forced pitching and (or) yawing oscillation is presented. First, a variational principle for a liquid in a container under pitching and (or) yawing oscillation is proposed. Based on the preceding variational principle and new Lagrangian, the nonlinear sloshing of liquid in a circle cylindrical tank under pitching excitation is studied analytically for the first time.

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