Blast dynamics of beam-columns via analytical approach

Leon Chernin (Lead / Corresponding author), Margi Vilnay, Igor Shufrin

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Problems involving forced transverse vibrations of beam-columns have many applications in different fields of engineering. This paper presents an analytical procedure allowing the prediction of the blast dynamic response of a beam-column to a combined action of axial and transverse loads. The solution is based on the continuous formulation and the Euler-Bernoulli beam theory. The response of the beam-column in the quasi-static, dynamic and impulsive regimes is analysed using the developed analytical model. The analysis shows that the number of modes of vibration needed to produce an accurate estimate of the beam-column behaviour may vary depending on the loading regime. Various types of spatial load distributions and time histories of transverse loads commonly used in engineering practice for modelling of extreme loads are discussed. The significance of the axial force and the shape of the transverse load time history for the beam-column response is shown using the response spectrum and pressure-impulse diagram methods. The initial imperfections in the beam-column geometry and applied loads are introduced into the analysis and their effects are also examined. The results obtained by the analytical model are compared to the results of a nonlinear finite element analysis performed in ABAQUS. Certain discrepancies between the beam-column response yielded by the analytical solution and the finite element model were observed at high levels of axial force and quasi-static transverse loading conditions.

Original languageEnglish
Pages (from-to)331-345
Number of pages15
JournalInternational Journal of Mechanical Sciences
Early online date29 Dec 2015
Publication statusPublished - Feb 2016


  • Analytical solution
  • Axial force
  • Blast load
  • Euler-Bernoulli beam
  • Free vibration

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering
  • Mechanics of Materials
  • General Materials Science
  • Condensed Matter Physics


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