1 Introduction -- 2 Dynamics of a moving and oscillating moving load acting on a pre-strained bi-material layered systems -- 3 Forced vibration of pre-stressed layered bodies -- 4 Wave propagation in pre-strained layered systems -- 5 Torsional wave dispersion in pre-stressed compound cylinders -- 6 Axisymmetric longitudinal and flexural wave propagation in pre-strained bi-material compound circular cylinders -- 7 Supplement 1: Some stability loss and wave propagation problems regarding the double-walled carbon nanotube (DWCNT) -- 8 Supplement 2: On one application of the approach developed in Chapter 3 on the dynamics of pre-strained hydro-elastic systems -- 9 Supplement 3: Some problems on the sandwich plate-strip with piezoelectric face and elastic core layers containing interface cracks -- 10 Supplement 4: Forced vibration of the initially stressed rectangular plates with holes and inclusions.