论文标题
在圆柱体上自由漂浮在倾斜波动中
On a cylinder freely floating in oblique waves
论文作者
论文摘要
研究了由水和自由漂浮在其中的机构组成的机械系统的耦合运动。水占据了半个空间或恒定深度的一层，将其浸入无限长的表面螺旋缸中，从而使我们能够研究所谓的倾斜波。在假设该运动在平衡附近的幅度小幅度并描述时谐波振荡的假设下，现象的线性设置将radian频率作为光谱参数减少到光谱问题。如果辐射条件成立，则总能量是有限的，并且动力学和势能的均衡为整个系统。在此基础上，证明没有波浪模式在其频率的某些限制下被困。在对称圆柱体具有两个沉浸式零件限制的情况下，也将对模式类型施加。
The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is immersed, thus allowing us to study the so-called oblique waves. Under the assumption that the motion is of small amplitude near equilibrium and describes time-harmonic oscillations, the phenomenon's linear setting reduces to a spectral problem with the radian frequency as the spectral parameter. If the radiation condition holds, then the total energy is finite and the equipartition of kinetic and potential energy holds for the whole system. On this basis, it is proved that no wave modes are trapped under some restrictions on their frequencies; in the case when a symmetric cylinder has two immersed parts restrictions are imposed on the type of mode as well.
