A novel solution to find the dynamic response of an euler-bernoulli beam fitted with intraspan TMDs under poisson type loading

Antonina Pirrotta, Alberto Di Matteo, Iain Peter Dunn, Giuseppe Failla, Giuseppe Failla

Research output: Contribution to journalArticlepeer-review


This contribution considers a virtual experiment on the vibrational response of rail and road bridges equipped with smart devices in the form of damping elements to mitigate vibrations. The internal damping of the bridge is considered a discontinuity that contain a dashpot. Exact complex eigenvalues and eigenfunctions are derived from a characteristic equation built as the determinant of a 4 × 4 matrix; this is accomplished through the use of the theory of generalized functions to find the response variables at the positions of the damping elements. To relate this to real world applications, the response of a bridge under Poisson type white noise is evaluated; this is similar to traffic loading that would be seen in a bridge's service life. The contribution also discusses the importance of smart damping and dampers to sustainability efforts through the reduction of required materials, and it discusses the role played by robust mathematical modelling in the design phase.
Original languageEnglish
Number of pages17
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Computer Science Applications
  • Geotechnical Engineering and Engineering Geology
  • General Materials Science

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