Some properties of the transverse elastic waves in quasiperiodic structures

We have studied the integrated density of states and fractal dimension of t he transverse elastic waves spectrum in quasiperiodic systems following the Fibonacci, Thue-Morse and Rudin-Shapiro sequences. Due to the finiteness o f the quasiperiodic. generations, in spite of the high number of materials included, we have studied the possible influence of the boundary conditions , infinite periodic or finite systems, together with that of the different ways to generate the constituent blocks of the quasiperiodic systems, on th e transverse elastic waves spectra. No relevant differences have been found for the different boundary conditions, but the different ways of generatin g the building blocks produce appreciable consequences in the properties of the transverse elastic waves spectra of the quasiperiodic systems studied here.