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Variational Approach and Equations of Motion

  • Abraham I. Beltzer
Chapter

Abstract

The variational approach is intimately related to mechanics, which has provided a major stimulus for its development. In this chapter we consider basic concepts and results of the variational calculus in a “mechanical” context. It is shown that physical laws may admit a dual formulation: either in the form of a variational principle or in the form of equations. This fact is stressed by programs, which automatically deduce the governing equations from a relevant extremum problem.

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Reference

  1. Bedford, A. (1985) Hamilton’s Principle in Continuum Mechanics, Pitman.Google Scholar
  2. Goldstein, H. (1980) Classical Mechanics, Addison-Wesley.Google Scholar
  3. Langhaar, M.L. (1962) Energy Methods in Applied Mechanics, J. Wiley.Google Scholar
  4. Miele, A. (editor) (1985) Theory of Optimum Aerodynamic Shapes, Academic Press.Google Scholar
  5. Mikhlin, S.G. (1964) Variational Methods in Mathematical Physics, MacMillan.Google Scholar
  6. Schechter, R.S. (1967) The Variational Method in Engineering, McGraw Hill.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Abraham I. Beltzer
    • 1
  1. 1.Holon Institute for Technological EducationAffiliated with Tel Aviv UniversityHolonIsrael

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