Random vibration mitigation of beams via tuned mass dampers with spring inertia effects

Iain Peter Dunn, Mario Di Paola, Antonina Pirrotta, Andrea Burlon, Giuseppe Failla, Giuseppe Failla

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The dynamics of beams equipped with tuned mass dampers is of considerable interest in engineering applications. Here, the purpose is to introduce a comprehensive framework to address the stochastic response of the system under stationary and non-stationary loads, considering inertia effects along the spring of every tuned mass damper applied to the beam. For this, the key step is to show that a tuned mass damper with spring inertia effects can be reverted to an equivalent external support, whose reaction force on the beam depends only on the deflection of the attachment point. On this basis, a generalized function approach provides closed analytical expressions for frequency and impulse response functions of the system. The expressions can be used for a straightforward calculation of the stochastic response, for any number of tuned mass dampers. Numerical results show that spring inertia effects may play an important role in applications, affecting considerably the system response.
Original languageEnglish
Pages (from-to)1365-1383
Number of pages19
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Random vibration mitigation of beams via tuned mass dampers with spring inertia effects'. Together they form a unique fingerprint.

Cite this