Generalized SDOF Systems

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


The chapter introduces the concept of generalized systems. A brief introduction of the Lagrangian approach applied to the mechanical systems is provided. Furthermore, some numerical examples are reported (system with distributed mass and elasticity, system with distributed elasticity and lumped mass, and general systems).


  1. Batchelor GK (2000) An introduction to fluid dynamics. Cambridge University Press, CambridgeGoogle Scholar
  2. Lagrange JL (1811) Mécanique analytiqueGoogle 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

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