Article ID Journal Published Year Pages File Type
10418011 Journal of Applied Mathematics and Mechanics 2005 8 Pages PDF
Abstract
Using the theory of Lie groups, a mechanical model is developed and the equations of motion are written in coordinateless form for an arbitrary curvilinear model of an elastic system with dimension no higher than three, starting from the unique hypothesis of a continuous distribution of rigid bodies, called sections. The proposed method is illustrated using examples of the automatic derivation of the corresponding scalar equations, by means of which one can describe all possible models of such systems as beams, cables, strings, etc.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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