Linear Vibration Characteristics of Cable–buoy Systems

Kim, W.-J.; Perkins, Noel C.

doi:10.1006/jsvi.2001.3849

Cited by 9 publications

(12 citation statements)

References 13 publications

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“…(11)- (14) were selected taking into account the expected antisymmetry of u and symmetry of v with respect to the cable center associated with a uniform Q. It is recognized that the accuracy of the Galerkin method can be improved by using multiterm trial functions.…”

Section: Galerkin Methods and Groebner Basis Applicationmentioning

confidence: 99%

“…The x-axis need not be horizontal and; therefore, the supports (located at x = 0 and x = h) need not be at the same elevation. The classical parabola and catenary solutions (see, for instance Irvine [6]), the elastic parabola and catenary solutions discussed by Irvine [6] and Irvine and Sinclair [7], the underwater cable/buoy solutions reported by Kim and Perkins [14], and many other types of solutions can be obtained using these equations and various equivalent transformations thereof. Hereafter, to facilitate clear presentation of Groebner basis methodology, attention will be directed to the special case characterized by the loading = -ßcos(0) (6) where ß is a force per unit of undeformed length which initially acts the negative y direction and remains perpendicular to the deformed cable thereafter.…”

Section: Governing Equationsmentioning

confidence: 98%

“…A representative sample of analytical and numerical approaches to cable analysis is provided by Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis

Liu¹,

Buchanan

Peddieson

2013

Journal of Offshore Mechanics and Arctic Engineering

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The governing equations for large defiections of cables have a highly nonlinear and coupled nature, which precludes exact analytical solutions except in a few simplified cases. The present study demonstrates the utility of Groebner Basis methodology in facilitating the construction of approximate analytical and semianalytical Galerkin solutions in the geometrically nonlinear analysis of cable statics.

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Section: Galerkin Methods and Groebner Basis Applicationmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 98%

See 1 more Smart Citation

Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis

Liu¹,

Buchanan

Peddieson

2013

Journal of Offshore Mechanics and Arctic Engineering

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“…Later, when considering the great influence of nonlinear factors on the system motion, scholars gradually take the nonlinear factors in the study of dynamic cable models. Perkins et al [2][3][4] derived the three-dimensional dynamic equation of the fixed elastic cable through Hamilton principle, and studied the motion along the tangential, normal and auxiliary normal direction of the cable respectively; Then based on this model, the resonance response of elastic cable in steady flow is studied; Later, a theoretical model for the vibration of floating body with cable was established. According to this model, Zhang Suxia et al [5,6] studied the tension characteristic and impact tension under taut-slack condition.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of differential scheme for dynamic equations of mooring cable system

Shi¹,

Zhang²,

Liu³

et al. 2018

Vib. proced.

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The mooring cable system in plane motion can be modeled as two coupled partial differential equations, which can be numerical solved by finite difference method directly. The difference scheme is analyzed, and parameters selection for time-marching of displacement and velocity are deduced. The stability condition of the scheme is analyzed through Fourier series method, and parameters range which match stable scheme is given. Then, the parameters range is verified by a numerical example.

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“…이와 관련해서 지금까지 수행된 연구를 살펴보면, Brainard (1967), Capobianco et al (2002), Carpenter et al (1995), Jenkins et al (1995), Kim and Perkins (2002), Leonard et al (2000), Lin et al (1998), Radhakrishnan et al (2007), Umar and Datta (2003), Williamson and Govardhan (1997), Zhang et al (2012) …”

mentioning

confidence: 99%

Difference of tension on mooring line by buoy type

Lee¹,

Kim²,

Cha³

et al. 2014

Journal of the Korean society of Fisheries Technology

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The difference of mooring tension by type of buoy was investigated in the circulating water channel and the wave tank for deducting the most stable buoy from the current and the wave condition. 5 types of buoy made up of short cylinder laid vertically (CL-V), short cylinder laid horizontally (CL-H), capsule (CS), sphere (SP) and long cylinder (CL-L) were used for experiments.A mooring line and a weight were connected with each buoy. A tensile gauge was installed between a mooring line and a weight. All buoy' s mooring tension was measured at the same time for the wave test with periods of 1.5-3.0 sec and wave heights of 0.1-0.3 m, and the current test with flow speeds of 0.2-1.0 m/sec. As a result, the order of tension value in the wave test was CL-H > CL-V > SP > CS > CL-L. In the current test CL-V and CL-H were recorded in the largest tension value, whereas SP has the smallest tension value. So it seems that SP buoy is the most effective in the location affected by fast current. CS is predicted to be suitable for a location that influence of wave is important more than that of current if practical use in the field is considered.And it was found that the difference of mooring tension among buoys in wave is related to the product of the cross sectional area and the drag coefficient for the buoy' s bottom side in high wave height. The factor for the current condition was not found. But it was supposed to be related to complex factors like a dimension and a shape by buoy' s posture to flow.

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Linear Vibration Characteristics of Cable–buoy Systems

Cited by 9 publications

References 13 publications

Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis

Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis

Stability analysis of differential scheme for dynamic equations of mooring cable system

Difference of tension on mooring line by buoy type

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