Non-linear dynamics of elastic curvilinear systems. A new coordinateless approach - Archive ouverte HAL Access content directly
Journal Articles Journal of Applied Mathematics and Mechanics Year : 2005

Non-linear dynamics of elastic curvilinear systems. A new coordinateless approach

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.

Dates and versions

hal-04367054 , version 1 (29-12-2023)

Identifiers

Cite

Jean Lerbet. Non-linear dynamics of elastic curvilinear systems. A new coordinateless approach. Journal of Applied Mathematics and Mechanics, 2005, 69 (6), pp.917-924. ⟨10.1016/j.jappmathmech.2005.11.014⟩. ⟨hal-04367054⟩
13 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More