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

Xing, Jing Tang

doi:10.1007/s10409-007-0126-x

Cited by 8 publications

(5 citation statements)

References 16 publications

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“…On infinity boundary ,   the dynamic pressure can be set to zero since the disturbance cannot 210 transmitted to infinity due to practical damping, or to Sommerfeld radiation condition implying waves 211 transmitting to infinity without any reflections (Xing, 2007;Xing, 2008). This paper adopts the zero 212 disturbance condition at a sufficiently far boundary from the ship.…”

Section: Fluid Domain 200mentioning

confidence: 99%

The dynamics of ship propulsion unit-large hull–water interactions

2016

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13 14This paper developed a generalised theory to model the dynamics of an integrated ship propulsion 15unit-large hull-water interaction system. The engine shaft unit, the hull structure are considered as two 16 substructures and the water as a subdomain, of which the motions of each subsystem are governed by 17 the fundamental laws in continuum mechanics, and on their interfaces, kinematical and dynamical 18 conditions are satisfied. The integrated variational formulation is given, based on which the numerical 19 equation is derived by using the mode summation approach. The shaft frequency and deformation 20 factors are defined to study on its interactions with large hull and water in order to provide a mean for 21 safety propulsion unit design in large ships. An example is given to illustrate the applications of the 22 general theory presented in the paper. Some guidelines for dynamical designs of large ship hull -23 propulsion system are suggested. 24 25

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Section: Fluid Domain 200mentioning

confidence: 99%

The dynamics of ship propulsion unit-large hull–water interactions

2016

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“…For example, the generalised theory and formulation was presented by Xing, Price & Xiong (2003), an application to beam-water interactions by , a linear wave energy harvesting device design by as well as ship vibrations with controls by , and . Furthermore, considering the interaction between the free surface wave on the water surface and the compressive waves caused by explosion in the water, Xing (2007Xing ( , 2008 proposed a new suitable radiation condition to model the dynamics and energy flows of this free surfacecompressible waves coupled system. It is also noted that Kwon et al (2011) proposed a power flow boundary element analysis for multi-domain problems in vibrational built-up structures, which obtained the agreed results of the power flow density of simply supported coupled beams and coupled plates with the conventional approaches.…”

Section: Fea and Numerical Substructure-subdomain Approachesmentioning

confidence: 99%

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Xing

2015

Emergence, Complexity and Computation

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com/mycopyOrder online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: customerservice@springer.com. ▶ For outside the Americas call +49 (0) 6221-345-4301 ▶ or email us at: customerservice@springer.com.The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with ** include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted. This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing's oscillator, Van der Pol's equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods. J.T. Xing Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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“…The chosen boundary can be two to three times this reference distance. The Sommerfeld condition added at a far field boundary causes an energy dissipation of the system [39,40] and therefore this condition introduces a corresponding boundary damping into the system. It should be noticed that the speed of the radiation wave is influenced by both the free surface and the pressure waves and therefore it cannot be defined before the solution of the problem [39,40].…”

Section: Conditions On Infinity Boundariesmentioning

confidence: 99%

Developments of a mixed finite element substructure—subdomain method for fluid—structure interaction dynamics with applications in maritime engineering

Xing

Xiong

Tan

2009

Proceedings of the Institution of Mechanical Engineers, Part M:

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Theoretical development of a mixed finite element substructure—subdomain method for dynamic analysis of fluid—structure interaction systems (FSIS) with applications in maritime engineering is summarized in this paper. Governing equations for FSIS are presented. Boundary conditions for air—liquid interfaces are formulated to account for mass density discontinuity of different fluids. The frequency shift technique is demonstrated for FSIS, which establishes a basis for the design of an algorithm for the purpose of dynamic analysis of structure, fluids, and their interactions. A flow chart of the computer program is provided to better illustrate the implementation of the numerical method. Four problems in maritime engineering are simulated using the developed fluid—structure interaction analysis program (FSIAP). Problem 1 investigates the sloshing frequencies of a liquid tank and its dynamic responses to a sinusoidal base motion and El Centro earthquake excitation, respectively. Problem 2 analyses the transient response of a liquefied natural gas (LNG) tank—water system to an explosion wave in the water. Problem 3 studies a structure—acoustic—volume system subject to human footfall impacts, which may explain the ‘character’ of the footstep noise claimed by people, such as ‘thuds’, ‘thumps’, and ‘booming’. Problem 4 investigates the dynamic response of an onshore LNG storage tank subject to an impact load. The numerical results are analysed to provide the guidelines for design of maritime products involving FSIS.

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

Cited by 8 publications

References 16 publications

The dynamics of ship propulsion unit-large hull–water interactions

The dynamics of ship propulsion unit-large hull–water interactions

Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Developments of a mixed finite element substructure—subdomain method for fluid—structure interaction dynamics with applications in maritime engineering

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