This paper presents a rigorous derivation of equations for the minimization of the mean-squared error and defines the describing function for different input components. The technique has a direct application to analyze the dynamic response of marine risers. The describing function method will be used to determine the linearization coefficients for the nonlinear drag effects, taking into account a steady current and the random sea waves. The method will have significant impact on other problems such as fixed offshore platforms and tension leg platforms.

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