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A new approach for non-Gaussian vibration analysis of hyperbolic tangential package
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  • Song-Ping Yang,
  • Ri-Qing Su,
  • Zhi-Wei Wang,
  • Yu Chen
Song-Ping Yang
College of Packaging Engineering, Jinan University

Corresponding Author:tysp@jnu.edu.cn

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Ri-Qing Su
International Energy College/ Energy and Electricity Research Center, Jinan University
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Zhi-Wei Wang
Packaging Engineering Institute, College of Packaging Engineering, Jinan University
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Yu Chen
Packaging Engineering Institute, College of Packaging Engineering, Jinan University
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Abstract

A new approach is proposed to analysis the non-Gaussian random vibration of hyperbolic tangential 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 (GMM) theory. Secondly, next to analyzing an analytical and numerical response of the two degrees of freedom (TDOF) linear package, the acceleration response of the TDOF hyperbolic tangential package system (HTPS) 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.
25 Aug 2022Submitted to Mathematical Methods in the Applied Sciences
25 Aug 2022Submission Checks Completed
25 Aug 2022Assigned to Editor
27 Aug 2022Reviewer(s) Assigned
16 Sep 2022Review(s) Completed, Editorial Evaluation Pending
16 Sep 2022Editorial Decision: Revise Major
27 Oct 20221st Revision Received
31 Oct 2022Submission Checks Completed
31 Oct 2022Assigned to Editor
31 Oct 2022Review(s) Completed, Editorial Evaluation Pending
31 Oct 2022Reviewer(s) Assigned
06 Nov 2022Editorial Decision: Accept