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Acoustic scattering from a semi-infinite, elastic, cylindrical shell
Cylindrical shells are commonly the principal component of both aerospace and marine structures and, as such, it is necessary to understand how sound is scattered by these shapes. Much work has been done in this field, particularly for infinite tubes (see, for example, the book by Leissa, 1973, Vibration of shells (NASA SP-288), and the paper by Skelton, 1991, Journal of Sound and Vibration 148, 243-264), but the sound scattered by semi-infinite elastic shells has not been determined analytically, other than by variational techniques. Experimental results indicate that the sound scattered from the finite ends of structures is important and so this paper describes a first attempt to model these end effects mathematically. A plane sound wave is obliquely incident on a semi-infinite elastic cylindrical shell (tube) which is mounted perpendicular to a rigid planar baffle. There is a circular hole cut in the plate, through which the tube is fitted snugly. The end of the shell, which protrudes through the baffle, is either clamped or hinged to a rigid disk; initially this disk is aligned flush with a baffle. The system is entirely surrounded by compressible fluids. A formal solution is obtained for the scattered pressure and investigated asymptotically for the case of small ka (wave number. tube radius) and heavy interior fluid loading.
Acoustic scattering from a semi-infinite, elastic, cylindrical shell
Cylindrical shells are commonly the principal component of both aerospace and marine structures and, as such, it is necessary to understand how sound is scattered by these shapes. Much work has been done in this field, particularly for infinite tubes (see, for example, the book by Leissa, 1973, Vibration of shells (NASA SP-288), and the paper by Skelton, 1991, Journal of Sound and Vibration 148, 243-264), but the sound scattered by semi-infinite elastic shells has not been determined analytically, other than by variational techniques. Experimental results indicate that the sound scattered from the finite ends of structures is important and so this paper describes a first attempt to model these end effects mathematically. A plane sound wave is obliquely incident on a semi-infinite elastic cylindrical shell (tube) which is mounted perpendicular to a rigid planar baffle. There is a circular hole cut in the plate, through which the tube is fitted snugly. The end of the shell, which protrudes through the baffle, is either clamped or hinged to a rigid disk; initially this disk is aligned flush with a baffle. The system is entirely surrounded by compressible fluids. A formal solution is obtained for the scattered pressure and investigated asymptotically for the case of small ka (wave number. tube radius) and heavy interior fluid loading.
Acoustic scattering from a semi-infinite, elastic, cylindrical shell
Die Schallstreuung an einer halbunendlichen, elastischen, zylindrischen Schale
James, D.A. (author)
Journal of Sound and Vibration ; 196 ; 203-236
1996
34 Seiten, 20 Bilder, 3 Tabellen, 13 Quellen
Article (Journal)
English
Rohrströmung , Zylinderschale , ebene Welle , Wasserströmung , Luftströmung , Rohr , Elastizität , erzwungene Schwingung , Wellenausbreitung , Frequenz , Reflexion , Einfallswinkel , Befestigung , kompressible Strömung , Schalldruck , Streuung , Streufeld , mathematisches Modell , Resonanzfrequenz , Innendruck , Außendruck , Wellenlänge , Energiebilanz
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