An Asymptotic Theory for a Weakly Nonlinear Beam Equation with a Quadratic Perturbation

Abstract

In this paper an initial-boundary value problem for a weakly nonlinear beam equation with a quadratic nonlinearity will be studied. The initial-boundary value problem can be regarded as a simple model describing free oscillations of flexible structures like suspension bridges. Using a twotimescales perturbation method an approximation for the solution of… (More)
DOI: 10.1137/S0036139998336766

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