A new approach for non-Gaussian vibration analysis of hyperbolic tangent package with a critical component

A new approach is proposed to analyze the non-Gaussian random vibration of hyperbolic tangent package. Firstly, the non-Gaussian vibration noise of specified mean, variance, skewness, and kurtosis is developed by Hermite polynomial and verified by Gaussian mixture model theory. Secondly, next to analyzing an analytical and numerical response of the two degrees of freedom linear package, the acceleration response of the two degrees of freedom hyperbolic tangent package system under non-Gaussian vibration excitation is obtained though the Hermite polynomial and Runge-Kutta method, and the effects of the external excitation and system parameters are investigated. Finally, on the basis of the first-passage probability of the acceleration response, the reliability analysis method is introduced. The analysis provides a guidance to the vibration reliability analysis and packaging optimization design.

Automated summary

A new approach is proposed to analyze the non-Gaussian random vibration of a hyperbolic tangent package. The vibration noise with specified mean, variance, skewness, and kurtosis is developed and verified. The acceleration response of the system under non-Gaussian vibration excitation is investigated, and the effects of external excitation and system parameters are analyzed. Furthermore, a reliability analysis method is introduced based on the first-passage probability of the acceleration response, providing guidance for vibration reliability analysis and packaging optimization design.