Abstract:
Noether`s theorem is the principal systematic procedure
for finding conservation laws for the complicated systems of differential
equations that derived by the variational method. The non-linear equations
of motion of inclined sagged cables are studied by Lie group method. The
infinitesimal generators, which are the main tool for this theory, are
calculated. After applying the infinitesimal criterion of invariance to
linear combination of these generators, the family of all variational
symmetries are derived and then used to find conservation laws for the
equations of motion of inclined sagged cables by using the Noether`s theorem.
W. Chatanin, A. Loutsiouk and S. Chucheepsakul, 2008. Applications of Noether`s Theorem to the Equations of Motion of
Inclined Sagged Cables. Journal of Applied Sciences, 8: 3284-3288.
Subscribe Today 
