Abstract
This chapter investigates applications of the principles of analyticalmechanics developed in chapter 7 to dynamical systems. First, the principle of virtual work presented in section 7.5 for static problems will be generalized to dynamic problems, leading to d’Alembert’s principle, see section 8.1. Next, Hamilton’s principle is presented in section 8.2 as an integral version of d’Alembert’s principle. Finally, Lagrange’s formulation is presented in section 8.3, leading to Lagrange’s equations of motion.
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© 2011 Springer Science+Business Media B.V.
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Bauchau, O.A. (2011). Variational and energy principles. In: Flexible Multibody Dynamics. Solid Mechanics and Its Applications, vol 176. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0335-3_8
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DOI: https://doi.org/10.1007/978-94-007-0335-3_8
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