This study is concerned to check the validity of a four parameter viscoelastic model for longitudinal wave propagating in the non-homogeneous viscoelastic rods of varying density. The rods are assumed to be initially unstressed and at rest. In this study, it is assumed that density , rigidity and viscosity of the specimen i.e. rod are space dependent and obey the laws and . The method of non-linear partial differential equation (Eikonal equation) has been used for finding the dispersion equation of longitudinal waves in rods. A method for treating reflection at the free end of the finite non-homogeneous viscoelastic rod is also presented. All the three cases taken in this study are discussed graphically.
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