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Variational principles in mechanics

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Analytical Mechanics

Part of the book series: Foundations of Engineering Mechanics ((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.

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© 2002 Springer-Verlag Berlin Heidelberg

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Lurie, A.I. (2002). Variational principles in mechanics. In: Analytical Mechanics. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45677-3_12

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  • DOI: https://doi.org/10.1007/978-3-540-45677-3_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53650-2

  • Online ISBN: 978-3-540-45677-3

  • eBook Packages: Springer Book Archive

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