Non-Gaussian Nature of the SDOF Response to Gaussian Vehicle Vibrations

Abstract

This study aims to verify the equivalence between a Gaussian random vibration extracted from a vehicle vibration and that generated by a current vibration controller. The equivalence was evaluated by calculating the kurtosis from a single degree of freedom (SDOF) response, assuming that an SDOF system serves as the packaged product. Depending on the natural frequency of the packaged product, the SDOF response to the Gaussian random vibration generated by the current vibration controller was found to be a Gaussian random vibration, while the SDOF response to the Gaussian random vibration extracted from the vehicle vibration, a non-Gaussian random vibration. The results demonstrate that both the Gaussian random vibrations may not be equivalent. Further, solely the power spectrum density (PSD) and probability density function (PDF) are not sufficient to completely understand the nature of the vibrations; the PDFs of the SDOF responses also need to be considered.