For the simply supported variable mass beam of Prob. 12.11, assume the deflection to be made up…

For the simply supported variable mass beam of Prob. 12.11, assume the deflection to be made up…

For the simply supported variable mass beam of Prob. 12.11, assume the deflection to be made up of the first two modes of the uniform beam and solve for the two natural frequencies and mode shapes by the Rayleigh—Ritz method.

Prob. 12.11

Assuming a static deflection curve

determine the lowest natural frequency of a simply supported beam of constant El and a mass distribution of

by the Rayleigh method.

 

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