论文部分内容阅读
波导结构中导波的传播特性是超声导波检测技术的重要基础.本文选择椭圆杆作为研究对象,在椭圆坐标系下,采用分向半解析有限元法,结合变分原理,建立运动方程.由此计算得到的圆杆相速度曲线与解析解的吻合,验证了计算方法的正确性.在此基础上,进一步研究了长短轴比以及物理参数对椭圆截面杆中导波频散特性的影响规律.结果表明,椭圆坐标系下分向半解析有限元法能够求解出椭圆杆的频散曲线,为椭圆杆结构的导波检测提供了理论依据.
The propagation characteristics of the guided wave in the waveguide structure is an important basis for the ultrasonic guided wave detection technology.In this paper, the elliptic rod is selected as the research object, and the semi-analytical finite element method of orientation and the variational principle are used to establish the equations of motion under the elliptic coordinate system. The calculated phase velocity curve of the rod and the analytic solution agree with each other, which verifies the correctness of the calculation method.Furthermore, the effect of the long axis to the short axis and the physical parameters on the dispersion characteristics of the guided wave in an elliptical rod The results show that the semi-analytical finite element method can obtain the dispersion curve of elliptic rod under the elliptic coordinate system, which provides a theoretical basis for the guided wave detection of the oval rod structure.