This research direction is based on fluctuation suppression calculations for sandwich and laminated composites and their structures. The oscillation modeling is performed from the fiber and matrix or the individual layer level. The following models of oscillation are considered: viscous and viscoelastic (hyperlast), structural and external. A frequency-dependent, visco-elastic damping pattern has also been considered. When analyzing free oscillations, frequencies and transient responses are determined by dynamic characteristics (suppressed frequencies, oscillation forms, loss factors, movements in frequency and time frames.