| REFLECTION CHARACTERISTICS OF LONGITUDINAL WAVES IN A SEMI-INFINITE CYLINDRICAL ROD CONNECTED TO AN INFINITE VISCOELASTIC STRATUM |
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| 作者姓名： | A.Moussa S.Bichir M.Nassar |
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| 作者单位： | Department of Engineering Mathematics and Physics Faculty of Engineering，Cairo University，Giza，Egypt，Department of Engineering Mathematics and Physics，Faculty of Engineering，Cairo University，Giza，Egypt，Department of Engineering Mathematics and Physics，Faculty of Engineering，Cairo University，Giza，Egypt |
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| 摘 要： | 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 inverseLaplace transform by means of Laguerre function are used.The time histories for the longitudinalstrain 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.
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| 收稿时间： | 3 May 1995 |
REFLECTION CHARACTERISTICS OF LONGITUDINAL WAVES IN A SEMI-INFINITE CYLINDRICAL ROD CONNECTED TO AN INFINITE VISCOELASTIC STRATUM |
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| A.Moussa,S.Bichir,M.Nassar.REFLECTION CHARACTERISTICS OF LONGITUDINAL WAVES IN A SEMI-INFINITE CYLINDRICAL ROD CONNECTED TO AN INFINITE VISCOELASTIC STRATUM[J].Acta Mechanica Solida Sinica,1996,9(1):66-80. |
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| Authors: | AMoussa SBichir MNassar |
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| Institution: | (1) Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, Egypt |
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| Abstract: | 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. |
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| Keywords: | viscoelastic stratum Laplace transform |
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