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An asymptotic solution of the governing equation for the natural frequencies of a cantilevered, coupled beam model

โœ Scribed by Harry E. Williams

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
351 KB
Volume
312
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

An asymptotic solution is presented for the natural frequencies, mode shapes of a cantilevered, coupled beam model. A three-term expansion is obtained for the frequency, which shows good agreement with exact values over a wide range of the stiffness parameter ฮฑ. The first three mode shapes are also presented for large ฮฑ, and show good agreement for the first and second modes. Agreement for the third mode improves as ฮฑ gets larger. The modeled structure behaves essentially as a shear beam except in the immediate neighborhood of the ends.

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