A variational formulation of analytical mechanics in an affine space
Antonio De Nicola, Wlodzimierz M. Tulczyjew
TL;DR
This paper presents a variational formulation of analytical mechanics within an affine space, providing a unified approach to statics and dynamics of mechanical systems influenced by external forces.
Contribution
It introduces a novel variational framework for analytical mechanics in affine spaces, extending classical formulations to more general geometric settings.
Findings
Unified variational principles for statics and dynamics
Application to systems with external forces
Extension of classical mechanics to affine spaces
Abstract
Variational formulations of statics and dynamics of mechanical systems controlled by external forces are presented as examples of variational principles.
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