Dynamic Response of Asymmetric and Nonlinear Packaging System under Random Excitation

Abstract

This paper focuses on the dynamic response of three asymmetric and nonlinear packaging systems (ANPSs) of practical transport package under random excitation. Next to presenting the displacement probability density functions (PDFs) of ANPSs derived through FPK equations, the influences of the excitation grades and the characteristic parameters (such as the damping, the nonlinear stiffness, and the strain) of packaging cushion materials on the response are discussed in detail. Then, the generalized PDFs of the response peaks are defined and examined by three common distributions. The investigation shows that “inverse excitation cushion factors” (IECFs) have a significance on effecting the displacement PDFs approaching different distributions. Most PDFs of the unilateral response peaks approach Rayleigh distributions and present non-Gaussian characters. The present methods are verified through the validation numerical solutions. Furthermore, the application of the scheme for fatigue damage evaluation of the transport package is carried out.

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

“…Qiu et al 32 studied the solutions of the neutral dynamic equations for a class of third‐order nonlinear oscillation. Yang and Wang 33,34 established the acceleration response spectrum theory of the HTPS under Gaussian excitation, verified the correctness of the proposed method through a complete packaging computer vibration experiment, and analyzed the HTPS specific nonlinear effects caused by soft spring stiffness.…”

Reliability analysis for product package via probability density function of acceleration random response

“…Analytical PDF of acceleration random response for cubic nonlinear product package has seldomly been investigated due to the difficulty of solving nonlinear random problem and less attention paid to the acceleration response. Therefore, on the basis of the acceleration response spectrum study for the nonlinear packaging system (Yang and Wang, 2020, 2021), this paper focused on the approximate analytical solution of acceleration response PDF for cubic nonlinear product package under random vibration.…”