, Volume 14, Issue 5, pp 166–167 | Cite as

Eine Bemerkung zur Frage der Verwendung Lagrangescher Koordinaten in der Physik nichtlinearer Schwingungen

  • H. Müller
Kurze Mitteilungen


For the Cartesian coordinates of the elements of a vibrating string, which are introduced as functions of time and a parameter (similar to the Lagrangean method in hydrodynamics), a general, non-linear system of differential equations is offered. The behaviour of the freely vibrating string corresponding to this system agrees, approximately, with the behaviour of a string put in motion in a certain way, which string, if moving freely, would act according to the linear differential equation of the elementary theory.


  1. 1.
    H. Müller, Ann. Phys.12, 398 (1953).CrossRefGoogle Scholar
  2. 2.
    H. Lamb,Hydrodynamics (Cambridge University Press 1953), S. 12.Google Scholar

Copyright information

© Birkhäuser Verlag 1958

Authors and Affiliations

  • H. Müller
    • 1
  1. 1.Institut für theoretische Physik der Johannes-Gutenberg-Universität MainzGermany

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