Reflection characteristics of longitudinal strain waves in a semi-infinite elastic rod con- nected to a viscoelastic stratum are investigated analytically.The three-dimensional viscoelasticity the- ory is applied to t...Reflection characteristics of longitudinal strain waves in a semi-infinite elastic rod con- nected to a viscoelastic stratum are investigated analytically.The three-dimensional viscoelasticity the- ory is applied to the stratum,and the Laplace transform with respect to time and the numerical inverse Laplace transform by means of Laguerre function are used.The time histories for the longitudinal strain of an arbitrary point of the rod are presented.Two typical viscoelastic models are considered, one is the usual Maxwell-Voigt model,the other is whose relaxation function is given by a power law. The numerical results for the two models are presented and compared each other and also with previ- ously published results for the elastic stratum.展开更多
文摘Reflection characteristics of longitudinal strain waves in a semi-infinite elastic rod con- nected to a viscoelastic stratum are investigated analytically.The three-dimensional viscoelasticity the- ory is applied to the stratum,and the Laplace transform with respect to time and the numerical inverse Laplace transform by means of Laguerre function are used.The time histories for the longitudinal strain of an arbitrary point of the rod are presented.Two typical viscoelastic models are considered, one is the usual Maxwell-Voigt model,the other is whose relaxation function is given by a power law. The numerical results for the two models are presented and compared each other and also with previ- ously published results for the elastic stratum.
