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Effect of imperfect bonding on torsional vibrations of composite poroelastic cylinders

机译:不完美粘合对复合孔弹性汽缸扭转振动的影响

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The present paper deals with the propagation of torsional waves in a composite poroelastic circular cylinder consisting of two concentric poroelastic layers joined together with a thin flexible bond. The composite cylinder is made of two concentric layers made of different poroelastic materials each of which is homogenous and isotropic. The frequency equation of torsional vibrations is obtained which is same for pervious and impervious surfaces. The torsional wave propagation is seen to be affected by the presence of bonding material apart from the material parameters of the composite cylinder. Particular cases are considered under different assumptions. Frequency as a function of wave number is presented graphically for different types of poroelastic materials and discussed. Generally, it is seen that the frequency of torsional wave is higher in composite cylinder-II than that of composite cylinder-I. Also it is observed that the first mode in composite cylinder-I is not dispersive while the other modes in composite cylinder-I as well as the first three modes in composite cylinder-II are dispersive. The results of previous studies are obtained as a particular case of present investigation.
机译:本文涉及扭转波在复合孔弹性圆柱中的传播,其由与薄柔性粘合剂一起连接在一起的两个同心孔弹性层。复合圆筒由两个同心层制成,由不同的孔弹性材料制成,每种同心层是均匀的和各向同性的。获得扭转振动的频率方程,其对于透水和不透水的表面相同。观察到扭转波传播受到除复合圆筒的材料参数之外的粘合材料的影响。在不同的假设下考虑特定情况。频率作为波数的函数以图形方式以不同类型的孔弹性材料呈现并讨论。通常,可以看出,复合汽缸-II的扭转波的频率高于复合圆筒-1的频率。此外,观察到复合圆筒-1中的第一模式在复合圆筒-1中的其他模式以及复合缸-II中的前三种模式是分散的。以前研究的结果是当前调查的特定情况。

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