Question 13.P.3: Using Rayleigh Ritz method obtain estimates of 2 frequencie...

Dynamics of Structures

Using Rayleigh Ritz method obtain estimates of 2 frequencies of a uniform flexible beam supported at each end by a spring of stiffness $k$ as shown in Figure P13.3. Use the following shape function

$\begin{aligned}\psi_{1}(x) &=1 \\\psi_{2}(x) &=\sin \frac{\pi x}{L}\end{aligned}$

Plot the mode shapes corresponding to the calculated frequencies. Note that both modes are symmetric.

p13.3

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