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Stability analysis of a circularly towed cable-body system

机译:圆形拖曳式索体系统的稳定性分析

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This paper investigates the dynamic response of a circularly towed cable-body system with fluid drag loading. The system model includes non-linear steady state equations and linear vibrational equations about steady state. The steady state equations are solved numerically via a shooting technique. The vibrational equations are linearized and discretized using Galerkin's method. Numerical results show the existence of multiple steady state solutions for small fluid drag, large end mass, or high rotation speed. Divergently unstable solutions lead to jump phenomena. High rotation speed causes Hopf bifurcations and second mode flutter for small point mass radius or third mode flutter for large point mass radius. Generally, increasing drag increases the stable regions. Stable single-valued solutions always exist for sufficiently low rotation speed. (C) 1998 Academic Press. [References: 10]
机译:本文研究了带有流体阻力载荷的圆形拖曳式索体系统的动力响应。系统模型包括非线性稳态方程和关于稳态的线性振动方程。稳态方程通过射击技术进行数值求解。使用Galerkin方法将振动方程线性化和离散化。数值结果表明,存在多个稳态解,用于较小的流体阻力,较大的端部质量或较高的转速。各种不稳定的解决方案会导致跳跃现象。较高的旋转速度会导致霍夫夫分叉,而对于小点质量半径,将导致第二模式颤动;对于大点质量半径,将导致第三模式颤动。通常,增加阻力会增加稳定区域。对于足够低的转速,始终存在稳定的单值解决方案。 (C)1998年学术出版社。 [参考:10]

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