Determine the lowest natural frequency of a simply beam

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Reference no: EM131784706

For the simply supported variable mass beam of Problem, 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.

Problem

Assuming a static deflection curve

111_Equation.png


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

1351_Equation2.png

by the Rayleigh method.

Reference no: EM131784706

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