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An investigation into natural vibrations of fluid-structure interaction systems subject to Sommerfeld’s radiation condition

Xing, Jing Tang (2008) An investigation into natural vibrations of fluid-structure interaction systems subject to Sommerfeld’s radiation condition Acta Mechanica Sinica, 24, pp. 69-82. (doi:10.1007/s10409-007-0126-x).

Record type: Article


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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Submitted date: 1 March 2007
Published date: 10 January 2008
Keywords: Sommerfeld system, complex natural frequencies, fluid-structure interaction, complex energy flow identity, speed of radiation wave
Organisations: Fluid Structure Interactions Group, Engineering Sciences


Local EPrints ID: 49218
ISSN: 0567-7718
PURE UUID: 77e73183-2950-4f01-b114-c999e013c0f5

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Date deposited: 17 Jan 2008
Last modified: 17 Jul 2017 14:56

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