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Axisymmetric Vibrations Of A Clamped Cylindrical Shell Using Matched Asymptotic Expansions

✍ Scribed by S.K. Wong; W.B. Bush

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
328 KB
Volume
160
Category
Article
ISSN
0022-460X

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✦ Synopsis

Membrane equations of motion are used to discuss the non-torsional axisymmetric modes of a clamped cylindrical shell. The boundary conditions for the membrane equations are derived by considering the effect of bending near the ends. The method of matched asymptotic expansions is used to obtain the boundary condition to two leading orders in the thickness-to-radius ratio. Excellent agreement is obtained with theories which take the bending effect exactly into account for modes below the ring frequency and for elongated thin shells. The method can be applied to more general vibration problems of shells with discontinuous physical properties.

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