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Dispersion of Axisymmetric Longitudinal Waves in A Bi-Material Compound Solid Cylinder Made of Viscoelastic Materials

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Computers, Materials & Continua 2016年第2期51卷 105-143页

作者： S.D.Akbarov t.kocal t.Kepceler Department of Mechanical Engineering Yildiz Technical UniversityYildiz Campus34349BesiktasIstanbulTurkey Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan 37041BakuAzerbaijan Department of Marine Engineering Operations Yildiz Campus34349 BesiktasIstanbulTurkey

the paper studies the dispersion of axisymmetric longitudinal waves in the bi-material compound circular cylinder made of linear viscoelastic *** investigations are carried out within the scope of the piecewise homogeneous body model by utilizing the exact equations of linear *** corresponding dispersion equation is derived for an arbitrary type of hereditary operator and the algorithm is developed for its numerical *** numerical results are obtained for the case where the relations of the constituents of the cylinder are described through fractional exponential *** influence of the viscosity of the materials of the compound cylinder on the wave dispersion is studied through the rheological parameters which indicate the characteristic creep time and long-term values of the elastic constants of these *** curves are presented for certain selected dispersive and non-dispersive attenuation cases under various values of the problem parameters and the influence of the aforementioned rheological parameters on these curves is *** a result of the numerical investigations,in particular,it is established that in the case where the rheological parameters of the components of the compound cylinder are the same,the viscosity of the layers’materials causes the axisymmetric wave propagation velocity to decrease.

关键词： Characteristic creep time Viscoelastic material Wave dispersion Bi-material compound solid cylinder Wave attenuation

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