This paper presents a formulation for determining the non-linear dynamic response of sag cables equipped with discrete oil dampers and subject to harmonic loading. The state-space method is "rst employed to convert the second order non-linear partial di!erential equations of motion of the system to
LINEAR VIBRATION CHARACTERISTICS OF CABLE–BUOY SYSTEMS
✍ Scribed by W.-J. KIM; N.C. PERKINS
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 271 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
A theoretical model for the linear vibration of a cable tensioned by a subsurface buoy is developed. The equilibrium of the cable}buoy system subject to drag is evaluated using an approximate closed-form solution whose range of validity is con"rmed through comparison with numerical solutions. The three-dimensional equations of cable}buoy motion are linearized about this equilibrium and then used to assess vibration characteristics. The characteristic equations for the natural frequencies of both in-plane and out-of-plane vibration modes are derived. The in-plane natural frequency spectrum exhibits the curve veering phenomena due to asymmetry of the associated mode shapes. Parameter studies reveal the dependencies of the in-plane and out-of-plane vibration modes on the cable tension, the buoy mass, and the current velocity.
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