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Calculation of Wave Dispersion Curves in Multilayered Composite-Metal Plates

机译:多层复合金属板中波色散曲线的计算

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摘要

The major purpose of this paper is the development of wave dispersion curves calculation in multilayered composite-metal plates. At first, equations of motion and characteristic equations for the free waves on a single-layered orthotropic plate are presented. Since direction of wave propagation in composite materials is effective on equations of motion and dispersion curves, two different cases are considered: propagation of wave along an axis of material symmetry and along off-axes of material symmetry. Then, presented equations are extended for a multilayered orthotropic composite-metal plate using the transfer matrix method in which a global transfer matrix may be extracted which relates stresses and displacements on the top layer to those on the bottom one. By satisfying appropriate boundary conditions on the outer boundaries, wave characteristic equations and then dispersion curves are obtained. Moreover, presented equations may be applied to other materials such as monoclinic, transversely isotropic, cubic, and isotropic materials. To verify the solution procedure, a number of numerical illustrations for a single-layered orthotropic and double-layered orthotropic-metal are presented.
机译:本文的主要目的是多层复合金属板中波色散曲线计算的发展。首先,提出了一种单层正交板上自由波的运动和特性方程的方程。由于复合材料中的波传播方向对运动和色散曲线方程有效,因此考虑了两种不同的情况:波浪沿着材料对称轴和沿着材料对称的轴轴传播。然后,使用传递矩阵方法延伸给出的等式,用于多层正交复合金属板,其中可以提取全局传递矩阵,其将负应力和位移在顶层上涉及底部的转移矩阵。通过满足外边界上的适当边界条件,获得波特性方程,然后获得色散曲线。此外,所呈现的等式可以应用于其他材料,例如单斜晶,横向各向同性,立方和各向同性材料。为了验证解决方案程序,提出了用于单层正交和双层正滴度金属的许多数值图。

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