Nonlinear dynamic analysis and damage detection of a mass-slider system with stick–slip vibration

Amirali Sadeqi*, Evangelos I. Katsanos

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


Real-world engineering structures experience overloads in their life that may cause instantaneous yielding. In such a case, temporary stiffness reduction may occur that can hardly be monitored and detected within the regular long-term measurements. However, these short moments of yielding and stiffness reduction may lead, on a long-term (lifetime) basis, to cumulative damage attributed to growing low-cycle fatigue cracks and extensive failure. As proof of concept, this study introduces a mass-slider stick–slip system acting as a numerically convenient analogy to investigate the mechanism of overload-induced momentary stiffness reduction. A comprehensive simulation scheme is undertaken to generate the nonlinear response occurring in short moments of slip motion within the significantly longer linear response segments. By utilizing the findings of this numerical study, the nonlinear dynamics and energy dissipation of a stick–slip system are scrutinized, focusing on the short slip moments that can be the analogy of overload-induced yielding in real structures. Additionally, this study favors the estimation of instantaneous frequency characteristics, which can foster reliable damage detection when temporary stiffness reduction may occur within short moments. The ability of the analogy highlighted herein to detect small and abrupt changes in the structural performance pave the way for advanced and rigorous structural health monitoring schemes favored by big-data collection from large-scale structures.
Original languageEnglish
JournalNonlinear Dynamics
Pages (from-to)7271–7291
Publication statusPublished - 2023


  • Damage detection
  • Energy dissipation
  • Failure analogy
  • Friction
  • Hilbert transform
  • Signal processing
  • Stick–slip
  • Structural health monitoring
  • Structural yield


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