Figure below shows a mass consisting of concentric attached cylinders Derive the natural frequency of undamped free vibrations.

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teamques10 ★ 70k

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Mumbai University > Mechanical Engineering > Sem 6 > Finite Element Analysis

Marks: 10M

Year: may 2016

finite element analysis

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written 8.8 years ago by

teamques10 ★ 70k

$- \frac{d}{dx}\bigg[ (x - 1) \frac{du}{dx} \bigg] = x^2\\ - \bigg[ (x - 1) \frac{d^2y}{dx^2} + \frac{du}{dx} \bigg] = x^2\\ (x - 1) \frac{d^2y}{dx^2} + \frac{du}{dx} + x^2 = 0$

Appropriate solution

$u = C_0 + C_1x + C_2x^2 + C_3x^3\\ B.C.(1): u(5) = 10\\ 10 = C_0 + 5C_1 …

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