Effect of viscosity of partings in block-hierarchical media on propagation of low-frequency pendulum waves

Abstract

The study focuses on the pendulum-type wave propagation in an assembly of steel rods parted alternatively by rubber and foam plastic and exposed to impulse loading. The proposed numerical model describes this system as a chain of masses linked by elastic springs and viscous damping elements. At large times from the loading onset, the asymptotical estimates of velocities and accelerations of the masses are obtained. The numerical calculations, analytical solutions and experimental data are compared, and the domain of applicability of the analytical evaluations is delimited. The authors show that this model adequately describes perturbations in the system of rods with alternating visco-elastic partings.