Natural Vibration of a Beam—water Interaction System

Xing, J.T.; Price, W.G.; Pomfret, Mike; Yam, L.H.

doi:10.1006/jsvi.1996.0662

Cited by 44 publications

(34 citation statements)

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“…Xing et al [18] demonstrated this orthogonal relationship for beam-water interaction systems. As discussed in Sect.…”

Section: Orthogonal Relationshipsmentioning

confidence: 90%

“…For an undisturbed condition on the boundary ∞ , no waves can reach the infinite boundary and therefore ϕ = 0 on ∞ . Equation (60) shows that the energy of the system is conservative [18].…”

Section: Energy Dissipative Processmentioning

confidence: 99%

“…To address this problem, Xing et al [18] investigated the natural vibrations of beam-water interaction systems. In this paper, the natural vibration of the beam-water interaction system under an undisturbed condition at the infinite boundary of the water was well solved but it was unsuccessful in solving the case of the system with a Sommerfeld condition, although it was mentioned that "there exists no real solution for the eigenvalue equation under the Sommerfeld condition".…”

Section: Introductionmentioning

confidence: 99%

“…It was found that the natural vibration of this simple system is governed by a complex eigenvalue problem and its complex frequency was obtained. This note was cited by Zhao [19] who followed the idea and used the method by Xing et al [18] to calculate the natural frequencies of a beam-water interaction system subject to a Sommerfeld condition at an infinite fluid boundary. For the case with no free surface wave, the complex frequency of the system was obtained [19].…”

Section: Introductionmentioning

confidence: 99%

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An investigation into natural vibrations of fluid–structure interaction systems subject to Sommerfeld radiation condition

Xing

2008

Acta Mech. Sin.

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A fluid-structure interaction system subject to Sommerfeld's condition is defined as a Sommerfeld system which is divided into three categories: Fluid Sommerfeld (FS) System, Solid Sommerfeld (SS) System and Fluid Solid Sommerfeld (FSS) System of which Sommerfeld conditions are imposed on a fluid boundary only, a solid boundary only and both fluid and solid boundaries, respectively. This paper follows the previous initial results claimed by simple examples to further mathematically investigate the natural vibrations of generalized Sommerfeld systems. A new parameter representing the speed of radiation wave for generalized 3-D problems with more complicated boundary conditions is introduced into the Sommerfeld condition which allows investigation of the natural vibrations of a Sommerfeld system involving both free surface and compressible waves. The mathematical demonstrations and selected examples confirm and reveal the natural behaviour of generalized Sommerfeld systems defined above. These generalized conclusions can be used in theoretical or engineering analysis of the vibrations of various Sommerfeld systems in engineering.

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“…Xing et al [18] demonstrated this orthogonal relationship for beam-water interaction systems. As discussed in Sect.…”

Section: Orthogonal Relationshipsmentioning

confidence: 90%

Section: Energy Dissipative Processmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An investigation into natural vibrations of fluid–structure interaction systems subject to Sommerfeld radiation condition

Xing

2008

Acta Mech. Sin.

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“…A number of papers has been published in recent years investigating the added mass effects of the interacting fluids in structures. Xing [18] examined the dynamical behaviour of a flexible beam-water interaction system and showed that in the water domain, the natural frequencies of the coupled dynamic system are lower than those of the flexible dry beam, indicating that the influence of water on the beam has the effect of an additional mass. The present manuscript deals with the coupling effect of liquid on the free vibration characteristics of a EulerBernoulli beams carrying point masse submerged in water contained in a rigid rectangular container.…”

Section: Introductionmentioning

confidence: 99%

Transverse vibration analysis of Euler-Bernoulli beam carrying point masse submerged in fluid media

Baroudi

Razafimahéry

2015

IJET

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In the present paper, an analytical method is developed to investigate the effects of added mass on natural frequencies and mode shapes of Euler-Bernoulli beams carrying concentrated masse at arbitrary position submerged in a fluid media. A fixed-fixed beams carrying concentrated masse vibrating in a fluid is modeled using the Bernoulli-Euler equation for the beams and the acoustic equation for the fluid. The symbolic software Mathematica is used in order to find the coupled vibration frequencies of a beams with two portions. The frequency equation is deduced and analytically solved. The finite element method using Comsol Multiphysics software results are compared with present method for validation and an acceptable match between them were obtained. In the eigenanalysis, the frequency equation is generated by satisfying all boundary conditions. It is shown that the present formulation is an appropriate and new approach to tackle the problem with good accuracy.

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Turbine design and field development concepts for tidal, ocean, and river applications

Zeiner-Gundersen

2014

Energy Science & Engineering

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This paper discusses tidal, ocean, and river free turbine functional design parameters and general considerations associated with tidal field developments. A particular focus is on the importance of considering mechanical fatigue and the associated calculation method when designing a turbine for the challenging hydrodynamic environment. The balance between high-fatigue resistances, costs associated with designing components, and potential for reduced turbine efficiency is discussed in regards to the potential energy extracted from a field site. A novel flexible foil vertical turbine concept with high-fatigue resistance, and simple installation and retrieval methods is shown to have a low kWh cost per production output compared to other hydrodynamic turbine concepts. Three possible field development concepts for the flexible foil turbine are described herein for river, ocean current, and tidal applications.

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Natural Vibration of a Beam—water Interaction System

Cited by 44 publications

References 0 publications

An investigation into natural vibrations of fluid–structure interaction systems subject to Sommerfeld radiation condition

An investigation into natural vibrations of fluid–structure interaction systems subject to Sommerfeld radiation condition

Transverse vibration analysis of Euler-Bernoulli beam carrying point masse submerged in fluid media

Turbine design and field development concepts for tidal, ocean, and river applications

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