Find the natural frequencies for the the uniform beam

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Reference no: EM131784312

Problem

The uniform beam of Figure is supported on an elastic foundation that exerts a restraining force per unit !ength of - ky(x) over the right half of the beam.

Using two elements, develop the equations of motion. With kl3 /8EI = 10, determine the natural frequencies and compare with those without the elastic foundation. Plot the mode shapes for the first two modes.

212_The uniform beam.jpg

Reference no: EM131784312

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