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Repeat Prob. 11-16 using the mode-acceleration method.

Prob. 11-16

Write the equations for the two-mode approximation of Prob. 11-15.

Prob. 11-15

A spring of stiffness k is attached to a uniform beam, as shown in Figure. Show that the one-mode approximation results in the frequency equation

 

2175_frequency equation.jpg

Where ω12 = Π4(EI/Ml3)

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