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英语翻译请大家翻译一段英文文献 请不要机翻 In this subsection,we develop equation

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英语翻译
请大家翻译一段英文文献 请不要机翻
In this subsection,we develop equations of the transverse motion of the riser,and of the hydraulic system.
These equations will be used for the boundary control design in the next section.In developing these
equations,we make the following assumption:
Assumption 1.(1) The riser can be modeled as a beam rather than a shell since the diameter-to-length of the
riser is small,i.e.we consider the riser as a slender structure.
(2) Plane sections remain plane after deformation,i.e.warping is neglected.
(3) The riser is locally stiff,i.e.cross sections do not deform and Poisson effect is neglected.
(4) The riser material is homogeneous,isotropic and linearly elastic,i.e.it obeys Hookes’s law.
(5) Torsional and distributed moments induced by environmental disturbances are neglected.
(6) The riser deforms in one vertical plane,and its axial motion is ignored.
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英语翻译请大家翻译一段英文文献 请不要机翻 In this subsection,we develop equation
在这一节里,我们将深入讲述立管(竖管?)的横向移动方程和及其液压系统.
这些方程将被用于接下来几节的边界控制设计.在深入探讨这些方程时,我们提出以下假设:
假设1.(1)由于立管(竖管)的直径很小,它被视为梁状而不是壳状.即,我们把立管(竖管)看作条状结构;
(2)在变形后,平面部分仍旧保持平面状,即可以忽略扭曲;
(3)立管(竖管)是局部不易变形的,即交叉部分不会变形并且可以忽略泊松效应;
(4)立管(竖管)的材料是单一、各向同性并且具有线性弹性的,即它遵循胡克定律;
(5)忽略由环境干扰导致的扭矩和分布矩;
(6)立管(竖管)在一个垂直平面内变形,此时忽略其轴向运动