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Wave propagation in a rotating disc of polygonal cross-section immersed in an inviscid fluid

机译:波在浸没在不粘流体中的多边形横截面的旋转圆盘中的传播

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In this paper, the wave propagation in a rotating disc of polygonal cross-section immersed in an inviscid fluid is studied using the Fourier expansion collocation method. The equations of motion are derived based on two-dimensional theory of elasticity under the assumption of plane strain-rotating disc of polygonal cross-sections composed of homogeneous isotropic material. The frequency equations are obtained by satisfying the boundary conditions along the irregular surface of the disc using Fourier expansion collocation method. The triangular, square, pentagonal and hexagonal cross-sectional discs are computed numerically for Copper material. Dispersion curves are drawn for non-dimensional wave number and relative frequency shift for longitudinal and flexural (symmetric and anti-symmetric) modes. This work may find applications in navigation and rotating gyroscope .
机译:本文采用傅立叶展开配置方法研究了浸没在粘性流体中的多边形截面旋转圆盘中的波传播。运动方程是基于二维弹性理论,在由均质各向同性材料组成的多边形截面的平面应变旋转圆盘的假设下得出的。频率方程是通过使用傅立叶展开搭配方法满足沿着圆盘不规则表面的边界条件而获得的。对于铜材料,通过数值计算出三角形,正方形,五边形和六边形的横截面圆盘。绘制了无量纲波数的色散曲线,以及纵向和弯曲(对称和反对称)模式的相对频移。这项工作可能会在导航和旋转陀螺仪中找到应用。

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