基于分向半解析有限元法的纵向模态波动特性  

Longitudinal Mode Propagation Based on Directional Semi-analytical Method

作　　者：唐楠 吴斌[2] 何存富[2] TANG Nan1, WU Bin2, HE Cunfu2(1. School of Mathematics and Big Data, Anhui University of Sciences and Technology, Huainan 232001, Anhui, China;2. College of Mechanical Engineering and Electronic Technology, Beijing University of Technology, Beijing 100124, Chin)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001 [2]北京工业大学机械工程与应用电子技术学院,北京100124

出　　处：《北京工业大学学报》2018年第5期693-698,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11132002;61472003);安徽省教育厅自然科学基金资助项目(KJ2017A087)

摘　　要：结合解析法和半解析有限元法对具有直线边界的截面杆中超声导波的主要模态进行分析,求解出模态的速度曲线并进行频散特性研究.通过分析对比,得出:分向半解析法能精确求解纵向模态的频散曲线;纵向模态的传播特性主要受到截面直线边界的影响,截面对称性降低会引发纵向模态出现速度骤减的现象.最后,搭建实验装置,对具体结构进行实验验证,进一步验证了计算方法的准确性和结论的正确性.In this paper,dispersion relations for three-dimensional waveguides with linear boundary cross-section were proposed by using analytic and directional semi-analytical method. The results show that the directional semi-analytical method combined analytical approach can be used to compute the dispersion curves for the longitudinal mode. The propagation characteristics of the longitudinal mode are affected by the straight boundary of the cross-section. When the symmetry of the cross section decreases,the group velocity of the mode appears to decrease sharply. At the end,an experimental device was set up,and the proposed method was proved by the experiment.

关 键 词：导波 有限元 分向半解析法 频散 纵向模态 

分 类 号：TG115.22[金属学及工艺—物理冶金]