Find the natural frequencies and normalized mode shapes

Reference no: EM131069175

1. Find the first five natural frequencies and normalized mode shapes for a nonuniform bar with α(x) = 1 + 0.5x which is fixed at both ends, y(0) = 0 and y(1) = 0.

2. Find the first five natural frequencies and normalized mode shapes for a nonuniform bar with α(x) = (1-0.5x)2 which is fixed at x = 0 and free at x = 1 such that y(0) = 0 and dy/dx(1) = 0.

Reference no: EM131069175

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