Simplified analytical models for transient uniaxial waves in a layered periodic stack

physical understanding is gained of some results acquired in the analysis of transient propagation of uniaxial elastic waves in weakly coupled periodic stacks using simple analytical models. Three simplified models are examined : a mass-spring chain, a single mass spring attached to a delayed moving base, and high frequencies of an elastic mass reacted upon by a spring. Closed-form expressions and asymptotic behavior are obtained for attenuation of maximum stress, characteristic velocities, internal stress distribution and transmission or suppression of highfrequency oscillations. The results provide insights in the design of impact resistant structural systems using layered periodic stacks. © 1997 Elsevier Science Ltd.