The dynamic regimes of the unsymmetric bistable laminate

Ting Dong, Wei Zhang, Mingming Dong*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

A dynamic model built theoretically and simulated numerically for an unsymmetric bistable laminate is elucidated, elaborating the dynamic regimes. Peak-to-peak amplitude diagrams being amplitude-frequency and amplitude-force response curves are derived. The single-well vibrations, the limit-cycle oscillations, the multiple-period dynamic snap-through, the chaotic dynamic snap-through and the intermittency dynamic snap-through can be detected. The amplitude-frequency response curves exhibit the softening stiffness effect. The dynamic regimes are correlated with the excitation amplitude and the modal frequencies. Deploying the high-level excitation amplitude and the low-level modal frequency leads to the limit-cycle oscillations. Besides, the single-well vibrations are characterized by the period-doubling bifurcation.

Original languageEnglish
Pages (from-to)2562-2580
Number of pages19
JournalMechanics of Advanced Materials and Structures
Volume31
Issue number12
DOIs
Publication statusPublished - 2024

Keywords

  • The dynamic regimes
  • snap-through
  • the period-doubling bifurcation
  • the softening stiffness effect
  • the unsymmetric bistable laminate

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