Rca. Barone et Rk. Kaul, A factorization algorithm for wave propagation in periodic structures withapplication to torsional waves in an infinite cylinder, CH J MECH-A, 16(1), 2000, pp. 9-14
In this paper we introduce a fundamentally new concept in the field of wave
-propagation in periodic structures. We show that a phenomenal amount of si
mplification can be achieved by using symmetry arguments. Problems which or
dinarily lead to (2n x 2n) determinantal eigenvalue equations, can effectiv
ely be reduced to two (n x n) determinantal equations. We state the final r
esult in the form of a factorization theorem and then with the help of a si
mple problem, we show the superiority of this new result over the tradition
al methods of solution.