成任意角度连接的两块平板转角处阻振质量对平面弯曲波传递的影响分析
Analysis of the effect of blocking mass at corner interface of two plates at arbitrary angles on transmission of plane bending waves
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摘要: 运用波分析法对于成任意角度连接的两块平板转角处的振动能量传递问题进行了理论分析,目的在于探讨附加在转角处的阻振质量对结构波传递的阻挡作用。通过引入两个局部坐标系及6个新的无量纲数,不仅简化了理论公式的推导,而且将透射及反射系数与模型的特征阻抗直接联系起来,揭示了这些参数的物理意义。本文同时还进行了简化模型实验,测试所得的插入损失与按照理论公式进行数值计算的结果进行比较,变化趋势一致。研究表明,转角处的阻振质量对于平面弯曲波透射所起的作用类似于一个“低通滤波器”,“阻带”区插入损失的量值主要取决于阻振质量的质量大小,而“阻带”宽度则取决于其转动惯量。Abstract: The vibration energy transmission at corner interface of two infinite plates rigidly joined at arbitrary angles is studied by wave approach so as to investigate the effect of blocking mass used for reducing plane bending wave transmission. Two local coordinate systems were introduced and six new non-dimensional coefficients implying corresponding ratio of characteristic impedances of plates or blocking mass were presented to simplify formulations of transmission and reflection coefficients. Five samples were tested in experiment. Discussions were carried out based on the comparison between prediction and experiment in terms of insertion loss. It is concluded that blocking mass acts like a "low-pass filter", effective for vibration attenuation above certain frequency. The value of IL in "attenuation band" depends mainly on mass per unit length and band width of "attenuation band" on mass moment of inertia per unit length of the blocking mass.