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An analytical model is presented for calculating the power spectral density of relatively short wavelength guideway irregularities associated with surface roughness. The results are presented in terms of design tolerances which can be interpreted in terms of the familiar California profile index or in terms of measurable deviations from a straight edge. Digital computer numerical simulation techniques are used to verify the model.

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An equation for the power spectral density (PSD) of guideway irregularities that have been constrained to lie within a designated band is formulated. The equation enables guideway designers to control the upper bound on the long wavelength portion of the roughness PSD. The paper also provides insight into the accuracy of two quasi-linear modeling techniques for nonlinearities with random inputs.