Bulletin of JSME
Online ISSN : 1881-1426
Print ISSN : 0021-3764
Vibration of a Circular Arc Bar in its Plane : Both Ends Built-in
Shin TAKAHASHI
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JOURNAL FREE ACCESS

1963 Volume 6 Issue 24 Pages 666-673

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Abstract
The Lagrangian in the vibration of a circular arc bar in its plane is discussed and the radial and tangential displacements are obtained in general forms. The frequency equations of a circular ring and a circular arc bar with hinged ends for the vibration in its plane are obtained and they are compared with the already known solutions. Then, the frequency equations of a circular arc bar with both ends built-in are obtained from the Lagrangian and the nondimensional frequencies are shown in figures. Also, for the vibration of a circular arc bar with free ends, the nondimensional frequencies are calculated and are shown in figures.
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© The Japan Society of Mechanical Engineers
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