Dispersion of Circumferential SH Wave in a Hollow Cylinder
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摘要: 研究了圆管中的SH周向导波的传播特性。采用柱坐标系,从纳维运动方程开始推导,得到了SH导波沿周向传播、轴向振动的频散方程。 以内外半径之比分别为0.3,0.5和0.7为例,通过数值计算得到了硬铝材料圆筒的频散曲线。结果表明其高阶模式比低阶模式频散显著,故在实际检测中宜选用低阶的SH导波。Abstract: Through theoretical study on the behavior of guided SH wave propagating along the circumferential direction of a hollow cylinder, based on the cylindrical coordinate system, the dispersion equation of guided SH wave was obtained by the derivation of Naviers equation. The numerical dispersion curves were calculated on Al hollow cylinder with ratios of internal to external radius as 0.3, 0.5 and 0.7. The results indicated the higher-order SH modes were more obvious than the lower-order SH modes in dispersion. So there are some advantages in applying the SH mode of the lower-order compared to the higher-order.
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Keywords:
- Ultrasonic testing /
- Circumferential SH wave /
- Dispersion /
- Hollow cylinder
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[1] 罗斯 J L.固体中的超声波[M].北京:科学出版社,2004. [2] Pan Y, Li L. Acoustic waves generated by a laser line pulse in a hollow cylinder[J]. Ultrasonics,2006,44(Supplement):843-847. [3] 李玲,潘永东.有束宽和时宽的激光线源在圆管中激发的声波[J].声学技术,2006,25(增刊):215-216.
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