浮动刚体：关于流体静力效应保守性的注记
Floating rigid bodies: a note on the conservativeness of the hydrostatic effects
摘要：
在拉格朗日力学的框架内，证明了作用在漂浮刚体上的静水压力的保守性。给出了相应的流体静力势的表达式。所得到的拉格朗日方面的浪涌，摇摆和偏航运动的不变性被用于连接与劳斯程序，以转换成一个减少原来的动力学问题，在三个独立的变量。这允许把合理的理由研究流体静力平衡，引入伪稳定性的概念，意味着稳定性方面的减少的问题。讨论了系统在伪稳定平衡位形附近的小振荡。
英文摘要：
Within the framework of Lagrangian mechanics, the conservativeness of the hydrostatic forces acting on a floating rigid body is proved. The representation of the associated hydrostatic potential is explicitly worked out. The invariance of the resulting Lagrangian with respect surge, sway and yaw motions is used in connection with the Routh procedure in order to convert the original dynamical problem into a reduced one, in three independent variables. This allows to put on rational grounds the study of hydrostatic equilibrium, introducing the concept of pseudo--stability, meant as stability with respect to the reduced problem. The small oscillations of the system around a pseudo-stable equilibrium configuration are discussed.
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