Introduction to Multidegree of Freedom Systems

  • György SzeidlEmail author
  • László Péter Kiss
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


Lagrange’s equation of the second are established for a system of particles first. They can, however, be applied to deriving equations of motion for such systems which involve rigid bodies as well. Special emphasis is laid on spring mass systems with two degrees of freedom. Solutions are presented for various free and forced vibration problems concerning systems wit two degrees of freedom. It is also shown how to tune a system to avoid resonance.


  1. 1.
    J.L. Lagrange, Mécanique Analytique, 2nd edn. (Cambridge University Press, Cambridge, 2009). The first edition was published in Paris (1788)Google Scholar
  2. 2.
    J.L. Lagrange, Analytical Mechanics. Translated from the Mécanique analytique, novelle edition of 1811 and 1815, eds. by R.S. Cohen. Translated by A. Boissonnade, V.N. Vagliente, vol. 191. Boston Study of Philosophy and Science (Springer Netherlands, Dordrecht, 1997).

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Applied MechanicsUniversity of MiskolcMiskolc-EgyetemvárosHungary

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