Integral Variational Formulations
D’Alembert’s principle and Gauss’ principle of least constraint are examples of differential variational formulations. These formulations make independent statements at each instant of time during the motion. By contrast integral variational formulations, which we shall examine in this chapter, make a single, all inclusive, statement. That is, the motion over an arbitrary period of time is considered as a whole. While the various differential and integral variational formulation take different forms, they are of course related and they make equivalent statements about the motion.
KeywordsConfiguration Space Virtual Work Constraint Force Nonholonomic Constraint Generalize Displacement
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