Distributed Mass and Elasticity Systems

  • Gian Paolo Cimellaro
  • Sebastiano Marasco
Part of the Geotechnical, Geological and Earthquake Engineering book series (GGEE, volume 45)


Typical problems of discretized systems (e.g. lumped mass systems) have been analyzed in the previous chapters. In some real cases, the simplified approach of lumped masses is not feasible, then an infinite number of DOFs have to be considered in the analyses. The dynamic problem of systems with distributed mass and elasticity are formulated in this chapter. A Simple structure is considered in order to provide the closed form solution for both free vibrations and forced system analyses.


  1. Stokey WF (1988) Vibration of systems having distributed mass and elasticity. In: Harris CM (ed) Shock and vibration handbook, chapter 7. McGraw-Hill, New YorkGoogle Scholar
  2. Truesdell C (1984) Timoshenko’s history of strength of materials (1953). Springer, New YorkGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Gian Paolo Cimellaro
    • 1
  • Sebastiano Marasco
    • 1
  1. 1.Department of Structural, Geotechnical and Building Engineering (DISEG)Politecnico di TorinoTorinoItaly

Personalised recommendations