Development and validation of kurtosis response spectrum analysis for antivibration packaging design taking into consideration kurtosis

Abstract

In current antivibration packaging designs, transport vibrations are generally assumed to be Gaussian random vibrations, and the cushioning material is designed so that the acceleration root mean square (RMS) transmitted to a product is low. However, transport vibrations are often non‐Gaussian random vibrations, and therefore, it is necessary to carry out antivibration packaging design, taking into consideration the non‐Gaussianity characteristics and acceleration RMS of the transport vibrations. In this study, a kurtosis response spectrum was proposed, which is an antivibration packaging design index, taking into account the non‐Gaussianity of transport vibrations. A kurtosis response spectrum is a plot of the kurtosis of the acceleration response for a series of single degree of freedom (SDOF) systems to the base acceleration input, assuming that the packaged product is the SDOF system. The kurtosis response spectrum was applied to the actual transportation data, and the results confirmed that the kurtosis of product response acceleration is different, depending on the natural frequency of the packaged product. Experiments were conducted using a dummy packaged product, and the experimental results showed good agreement with those of the kurtosis response spectrum analysis. It can be concluded that the kurtosis response spectrum is useful to clarify the effect of natural frequency on the kurtosis response. By referring to the kurtosis response spectrum, packaging engineers can obtain the necessary information to perform antivibration packaging design, taking into account the non‐Gaussianity of transport vibrations.