A uniform semi-infinite elastic beam moving along the

Chapter 14, Problem 14.1.21

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A uniform semi-infinite elastic beam moving along the x-axis with a constant velocity v0 is brought to a stop by hitting a wall at time t 0. See Figure 14.2.3. The longitudinal displacement u(x, t) is determined from Solve for u(x, t). u(x, 0) 0, u t t0 v0, x 0. u(0, t) 0, lim x : u x 0, t 0 a2 2 u x2 2 u t 2 , x 0, t 0

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