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The Energy Method

  • Horst Leipholz

Abstract

For conservative scleronomic systems with finite degrees of freedom it is common to apply the so-called energy method for the assessment of the stability of a particular motion of the system. Very frequently, the particular ‘motion’ is a stationary (equilibrium) position of the system. Then, the theorem of Dirichlet1 holds which states that the equilibrium is stable if the potential energy of the system assumes a minimum in the equilibrium position.

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Reference

  1. 1.
    G. Hamel, Theoretische Mechanick, p. 268, Springer, Berlin, 1949.Google Scholar
  2. 2.
    H. L. Langhaar, Energy Methods in Applied Mechanics, p. 31, John Wiley and Sons, New York, 1962.Google Scholar
  3. 1.
    Den hartog, J. P., Mechanical Vibrations, pp. 363–365, McGraw-Hill, New York, 4th ed., 1956.Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1987

Authors and Affiliations

  • Horst Leipholz
    • 1
  1. 1.University of WaterlooWaterlooCanada

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