基于分向半解析有限元法的椭圆杆波动特性  

Investigation of Elastic Guided Waves Propagating in An Elliptical-rod Based on Directional Semi-analytical Finite Element Method

作　　者：唐楠[1,2] 吴斌[1] 刘秀成[1] 何存富[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124 [2]安徽理工大学理学院,安徽淮南232001

出　　处：《应用基础与工程科学学报》2015年第1期192-202,共11页Journal of Basic Science and Engineering

基　　金：国家自然科学基金重点资助项目(11132002)

摘　　要：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.Revealing the propagation properties of ultrasonic guided wave （UGW） in a waveguide is foundational basis for applying UGW technique for structural health monitoring.The goal of this paper is to investigate the propagation characteristics of elastic waves in an elliptical-rod. In elliptical coordinates, directional semi-analytical finite element method is introduced to establish the governing equation based on variational principle. The phase velocity dispersion curves calculated by the proposed method are perfectly matched with the analytical solution results, which validates the feasibility of the proposed method. Furthermore, the variation of dispersive curves vs. long-to-short axis ratio or material properties is investigated. The obtained results testify that the directional semi-analytical finite element method can be applied for calculating the dispersive curves of an elliptical-rod, which provides a theoretical basis for UGW techniques for elliptical-rod inspection.

关 键 词：导波 分向半解析有限元法 椭圆坐标系 频散 椭圆截面杆 

分 类 号：TG115.22[金属学及工艺—物理冶金]