Low Frequency longitudinal vibrations of an elastic bar made of a dynamic material and excited at one end

Abstract

The dynamic materials, particularly the spatio-temporal composites, have been investigated in a number of recent publications. In the present paper, we examine a dynamic performance of an elastic bar with material parameters specified as an activated (moving at uniform velocity V) periodic pattern of segments occupied by ordinary materials 1 and 2, with density ρ and stiffness k specified as (ρ1,k1) and (ρ2,k2), respectively. We particularly consider the low frequency wave propagation arising when the period d of the material pattern is much less than the wavelength λ of a dynamic disturbance. The bar is excited at its left end by a signal g(t). © 2000 Academic Press.