Numerical calculation methods and statistic characters on road surface random spectral excitation

Three white-noise inputs and two numerical calculation methods on the road surface random spectral excitations were investigated and their statistic analyses were performed. The trigonometric series model based on the grade inputs of standard surface and the road surface random spectral excitations of autoregressive model based on engineering data were calculated under the normal distribution, the uniform distribution and the congruence white-noise input. Results show that time-domain frequencies of three white-noise inputs depend on their subsection lengths, and the amplitude frequency characters of road surface random spectral excitations depend on their distribution types with special statistic characters. Stochastic phase angle input to the trigonometric series model is the uniform distribution. The amplitude frequencies and distribution interval of power spectrum density of road surface depend on the roughness coefficient.