A uniform fixed-fixed beam of length (l) with a rectangular cross section (w times h) is shown

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A uniform fixed-fixed beam of length \(l\) with a rectangular cross section \(w \times h\) is shown in Fig. 7.17. Assuming the Young's modulus as \(E\) and unit weight as \(\gamma\) for the material of the beam and the deflection shape as

\[y(x)=C\left(1-\cos \frac{2 \pi x}{l}\right)\]

Determine the natural frequency of the beam.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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