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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder
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Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder

机译：预应力双材料复合圆柱体的扭波波色散关系

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摘要

Within the framework of the piecewise homogeneous body model and through the application of the three-dimensional linearized theory of elastic waves in an initially stressed body, the torsional wave dispersion in pre-stretched bi-material compounded cylinders is investigated. It is assumed that the elasticity relations of the materials of the components of the cylinders are given through the Murnaghan potential. The numerical investigations are made for steel (St) (as a material for the solid cylinder) and bronze (Br) (as a material for a hollow covering cylinder). According to the numerical results obtained, the influence of the problem parameters such as the initial stresses in the components of the bi-material com_pounded cylinder, the values of the mechanical and physical constants of the components, and the geometrical parameters (such as the relation of the thickness of the covering cylinder with the radius of the inner solid cylinder on the dispersion curves) are analyzed.
机译：在分段均质体模型的框架内，通过在初始受力体中应用三维三维线性化弹性波理论，研究了预拉伸双材料复合圆柱体中的扭转波色散。假设通过穆尔纳汉势给出了圆柱体各部件材料的弹性关系。对钢（St）（作为实心圆柱体的材料）和青铜（Br）（作为空心覆盖圆柱体的材料）进行了数值研究。根据获得的数值结果，问题参数的影响，例如双材料复合圆筒部件中的初始应力，部件的机械和物理常数的值以及几何参数（例如关系）分析了覆盖圆柱体的厚度与内部实心圆柱体的半径（在色散曲线上）的关系。

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