Accession Number:

AD0607927

Title:

AXIAL-SHEAR VIBRATIONS OF STAR SHAPED BARS, KOHN-KATO BOUNDS.

Corporate Author:

CATHOLIC UNIV OF AMERICA WASHINGTON D C

Report Date:

1962-10-01

Abstract:

Kohn-Kato bounds are determined for the natural frequencies of axial-shear vibrations for a solid circular bar. Through conformal transformation and corresponding modification of the differential equations, this method is extended to the calculation of the natural frequencies of axial shear vibrations for a solid bar having a many-lobed plane, curved boundary. A numerical example is given for an epitrochoidal bar vibrating in the fundamental axial-shear mode. Approximate solutions are developed for the natural frequencies of free vibrations of solid propellant rocket motors with star-shaped perforations.

Descriptive Note:

Technical rept. no. 1,

Supplementary Note:

Subcontracted to Hercules Powder Co., Magna, Utah., Contract AF04 647 243. Legibility of this document is in part unsatisfactory. Reproduction has been made from best available copy.

Pages:

0026

Communities Of Interest:

File Size:

0.00MB

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