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Localized sets of bending waves in a noncircular cylindrical shell with slanted edges

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Abstract

A initial boundary problem for equations of sloping shells is considered. The equations describe the motion of a noncircular cylindrical shell with slanted edges. It is supposed that initial displacements and velocities of points of the median surface of the shell are function swiftly decreased far from the generating line. In the case when the shell edge are in the planes perpendicular to the generating line the problems solution may be obtained in the form of expansion in the beam functions along the generating line. An asymptotic solution is constructed for equations of motion in the form of superposition of wave packets moved in the bending wave direction.

Original languageEnglish
Pages (from-to)635-643
Number of pages9
JournalPrikladnaya Matematika i Mekhanika
Volume60
Issue number4
StatePublished - Apr 1996

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