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assn5 - 1.685J/2.0345/18.377J Nonlinear Dynamics and Waves...

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1.685J/2.0345/18.377J Nonlinear Dynamics and Waves Spring 2007 Problem Set No. 5 Out: Thursday, April 26, 2007 Due: Thursday, May 10, 2007 in class Consider an infinite uniform beam of cross-sectional area A, mass per unit length p, and flexural rigidity EI. The beam rests on a nonlinear elastic foundation which exerts a restoring force per unit length where $ is the beam deflection at x, t, and al, a s are constants. (a) Assuming that, apart from the nonlinear behavior of the foundation, the rest of
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  • Spring '07
  • TriantaphyllosAkylas
  • Fundamental physics concepts, flexural rigidity EI, Nonlinear Schrödinger equation, nonlinear elastic foundation, nonlinear dispersion relation, infinite uniform beam

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