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Torsional rod wave scattering from tapering between regions ofdifferent cross-sections

机译:不同截面区域之间逐渐变细引起的扭转杆波散射

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Previously (Engan 1998) we have studied the scattering ofntorsional waves in circular rods with a free surface where the rodndiameter is subject to abrupt diameter changes. Here, we discuss thenscattering of torsional waves from tapered regions and, in particular,ntransmission of the fundamental torsional mode. The calculations arenbased on a mode expansion technique in which propagating as well asncut-off modes are taken into account. The tapered region is approximatednby numerous steps separated by uniform rod parts arranged so that theynclosely render the taper shape. Transfer matrices for all steps andnuniform parts are combined to yield the desired transmission coefficientnthrough the taper region. Numerical results of the frequency variationnof fundamental mode transmission are presented, depending on geometricalnparameters, such as taper length and the diameters of the two uniformnadjacent rod parts. The dependence of the transmission on taper shape isndemonstrated by calculating the response of various shapes
机译:以前(Engan 1998),我们已经研究了具有自由表面的圆杆中扭转波的散射,其中杆的直径会发生急剧变化。在这里,我们讨论了扭转波从锥形区域的散射,尤其是基本扭转模的传递。该计算基于模式扩展技术,其中考虑了传播模式和截止模式。逐渐变细的区域通过由均匀的杆部分隔开的多个步骤近似地布置,从而均匀地呈现锥形。将所有步骤和不均匀部分的传递矩阵组合起来,以产生通过锥形区域的所需透射系数n。给出了基本模式传输频率变化的数值结果,具体取决于几何参数,例如锥度长度和两个相邻的均匀杆部分的直径。通过计算各种形状的响应来说明透射率对锥度形状的依赖性

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