A uniform semi-infinite elastic beam moving along the x-axis with a constant velocity

Chapter 15, Problem 8

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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 lime t = 0. See RGURE 15.2.3. The longitudinal displacement u(x, t) is determined from x>O,t>O 0 0 limau u(,t}= , -= 0 0 , t> u(x, 0) = 0, x-+eo ax - = -vo. > x 0. au ' at i-o Solve for u(x, t).

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