- The design and application of shaping filters for random response analysis of offshore structures is presented. The approach is based upon Markov methods and its suitability for use in offshore engineering is demonstrated through a series of numerical examples. Shaping filters are designed for generating the wave elevation, wave kinematics and wave forces from white noise. The filter equations are combined with state-space equation models of two different types of offshore structures. Moment equations are generated using Ito's rule and solved for the structural response in terms of statistical moments. This filter methodology is applied to both linear and non-linear structural models of offshore platforms. The strengths and limitations of the filter approach are examined through direct comparison with time domain simulations. 1992.