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Variational principles in mechanics

  • A. I. Lurie
Chapter
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

The basic statements of dynamics, which are Newton’s axioms and D’Alembert’s principle, allows us to formulate the laws of motion in the form of differential equations of motion. However they do not exhaust all the ways of representing the laws governing the motion of material bodies. An alternative is variational statements dealing with the stationary properties of certain values and enabling the complete replacement of the above statements.

Keywords

Variational Principle True Path Neighbouring Path Kinematic Element Supporting Trajectory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • A. I. Lurie

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