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Natural frequencies of circumferentially truncated sector plates with simply supported straight edges

✍ Scribed by G.K. Ramaiah; K. Vijayakumar

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
373 KB
Volume
34
Category
Article
ISSN
0022-460X

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✦ Synopsis

The classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges. Numerical results are obtained for all the nine combinations of clamped, simply supported and free boundary conditions at the circular edges and presented in the form of graphs. The analysis confirms an earlier observation that the plate behaves like a long rectangular strip as the width of the plate in the radial direction becomes small.

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The paper introduces a ''soft table'' for the natural frequencies and modal parameters of uniform circular plates with elastic edge support. In contrast to conventional tabulations on paper, the ''soft table'' allows to save space and display parameters for required number of vibration modes. The ''