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Wave reflections in a semi-infinitely long cylinder with an attached solid of revolution.

机译：半无限长的圆柱体中的波反射，带有附加的旋转实体。

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摘要

A numerical procedure is presented for the study of end reflections in a semi-infinitely long isotropic circular cylinder with attached piezoelectric patch. The hybrid method which combines the finite element formulation in the piezoelectric patch with a wave function expansion representation in the isotropic cylinder is employed in the study. The global solution is obtained by imposing the continuity conditions on the displacements and tractions at the interface between the piezoelectric patch and the cylinder.;A computer code is developed in the study. Numerical cases are presented to demonstrate the effectiveness and accuracy of the code. The reflections due to monochromatic incoming axisymmetric and flexural wave are studied. For an oscillating end voltage that is out-of-phase with the incoming wave, it is possible to extract electrical energy which is called as energy harvesting. By applying appropriate voltage in the piezoelectric patch, the reflected propagating waves in the cylinder can be eliminated efficiently which is called as passive-control. Cases of such an oscillating voltage with a particular radial distribution are given. Results presented in this study are for different thickness of piezoelectric patch, boundary condition and distribution of applied voltage. The results illustrate the amount of extracted energy as a function of the frequency of the incident monochromatic wave. The study has potential to apply in NDE (nondestructive evaluation), energy harvest and USM (ultrasonic motor).;To obtain the wave functions in the cylinder, the governing equations of the cylinder are discretized by a semi-analytical finite element formulation where the discretization occurs through the cylinder's thickness. Solutions in the cylinder are constructed with modal data from a spectral decomposition of the differential equations governing its natural vibrations. These modal data consist of all propagating modes and edge vibrations, constituting the basis for a wave function expansion of the reflection of waves arriving at the end of the cylinder. On the other hand, the piezoelectric patch is discretized by the axisymmetric finite element formulation. Both least-square and virtual work methods are used for evaluating the amplitudes of the reflected wave field.
机译：提出了一个数值程序，用于研究带有压电贴片的半无限长各向同性圆柱体中的末端反射。本研究采用了混合方法，该方法将压电贴片中的有限元公式与各向同性圆柱体中的波函数展开表示相结合。通过将连续性条件施加在压电贴片和圆柱体之间的界面上的位移和牵引力来获得整体解。;研究中开发了一个计算机代码。数值案例被证明以证明该代码的有效性和准确性。研究了单色入射轴对称和弯曲波引起的反射。对于与入射波异相的振荡端电压，可以提取电能，这称为能量收集。通过在压电片中施加适当的电压，可以有效地消除圆柱体中反射的传播波，这被称为被动控制。给出了这种具有特定径向分布的振荡电压的情况。这项研究给出的结果是针对不同厚度的压电贴片，边界条件和施加电压的分布。结果表明，提取的能量随入射单色波频率的变化而变化。该研究有潜力应用于NDE（无损评估），能量收集和USM（超声马达）中。为了获得圆柱体中的波函数，通过半解析有限元公式离散化圆柱体的控制方程。离散化通过圆柱体的厚度发生。圆柱体中的解由模态数据构造而成，这些数据来自控制其自然振动的微分方程的频谱分解。这些模态数据由所有传播模式和边缘振动组成，构成到达圆柱体末端的波的反射的波函数扩展的基础。另一方面，压电贴片通过轴对称有限元公式离散化。最小二乘和虚拟功方法都用于评估反射波场的幅度。

著录项

  • 作者

    Yin, Nairui.;

  • 作者单位

    Lakehead University (Canada).;

  • 授予单位 Lakehead University (Canada).;
  • 学科 Engineering System Science.
  • 学位 M.Sc.Eng.
  • 年度 2008
  • 页码 81 p.
  • 总页数 81
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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