Time-dependent nonlinear response of packaging system excited by dropping impact

Heye Xiao, Jie Zhou, Jun Qiang Bai, Jin Tao Gu, Xu Dong Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Packaging system presents nonlinear vibro-impact response due to its cushion material nonlinearity when it suffers a shock or dropping impact. To analyze nonlinearity in dynamic response of packing system, a new concept of two-degree dimensional dynamic model is proposed in this paper. It is achieved by introducing fractional derivation and tangent function to vibrational equation for simulating damping and stiffness nonlinearity of material, who is called as fractional order model in this paper. The Kelvin-Voigt model is also used to build linear two-degree dimensional oscillator as the baseline for presenting the nonlinear characteristics of the proposed model. Then, time-dependent responses of these two models are obtained by using Newmark and Newton method to solve their dynamic equations. Finally, influences of parameters on acceleration response of the two models are analyzed and compared to reveals benefits of the proposed model for describing nonlinearity in vibro-impact analysis of packaging system.

Original languageEnglish
Title of host publication"Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021
EditorsEleonora Carletti, Malcolm Crocker, Marek Pawelczyk, Jiri Tuma
PublisherSilesian University Press
ISBN (Electronic)9788378807995
StatePublished - 2021
Event27th International Congress on Sound and Vibration, ICSV 2021 - Virtual, Online
Duration: 11 Jul 202116 Jul 2021

Publication series

Name"Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021
ISSN (Print)2329-3675

Conference

Conference27th International Congress on Sound and Vibration, ICSV 2021
CityVirtual, Online
Period11/07/2116/07/21

Keywords

  • Fractional derivation
  • Material nonlinearity
  • Newmark method
  • Two-degree nonlinear dynamic model

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