Abstract
The central concepts permitting the extension of mechanics from the Newtonian point of view to the Lagrangean are the notions of virtual displacement and of virtual work. These concepts were formulated early in the development of mechanics insofar as their application to statics is concerned. Johann Bernoulli (1667–1748) discovered them (1717) for the case of holonomic configuration constraints, and Gabriel Fourier extended them in 1798 to inequality constraints.
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© 1977 Plenum Press, New York
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Rosenberg, R.M. (1977). Virtual Displacement and Virtual Work. In: Analytical Dynamics of Discrete Systems. Mathematical Concepts and Methods in Science and Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8318-5_9
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DOI: https://doi.org/10.1007/978-1-4684-8318-5_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-8320-8
Online ISBN: 978-1-4684-8318-5
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