北京工业大学学报
北京工業大學學報
북경공업대학학보
Journal of Beijing University of Technology
2015年
11期
1734-1742
,共9页
唐楠%吴斌%刘秀成%曹海洋%何存富
唐楠%吳斌%劉秀成%曹海洋%何存富
당남%오빈%류수성%조해양%하존부
分向半解析法%频散%矩形杆
分嚮半解析法%頻散%矩形桿
분향반해석법%빈산%구형간
directional semi-analytical method%dispersion%rectangular-rod
为了研究超声导波无损检测的技术核心,利用分向半解析有限元法对矩形杆中超声导波的频散曲线进行计算,求解了几种不同尺寸、不同物理参数的矩形杆中超声导波的相速度和群速度曲线. 通过对比得出分向半解析法能够精确求解矩形杆中导波的频散特性;几何尺寸和材料参数的变化对不同导波模态的影响并不相同. 最后,搭建试验装置,对具体模型进行试验验证,进一步验证了计算方法的准确性.
為瞭研究超聲導波無損檢測的技術覈心,利用分嚮半解析有限元法對矩形桿中超聲導波的頻散麯線進行計算,求解瞭幾種不同呎吋、不同物理參數的矩形桿中超聲導波的相速度和群速度麯線. 通過對比得齣分嚮半解析法能夠精確求解矩形桿中導波的頻散特性;幾何呎吋和材料參數的變化對不同導波模態的影響併不相同. 最後,搭建試驗裝置,對具體模型進行試驗驗證,進一步驗證瞭計算方法的準確性.
위료연구초성도파무손검측적기술핵심,이용분향반해석유한원법대구형간중초성도파적빈산곡선진행계산,구해료궤충불동척촌、불동물리삼수적구형간중초성도파적상속도화군속도곡선. 통과대비득출분향반해석법능구정학구해구형간중도파적빈산특성;궤하척촌화재료삼수적변화대불동도파모태적영향병불상동. 최후,탑건시험장치,대구체모형진행시험험증,진일보험증료계산방법적준학성.
Dispersion curves provide the fundamental information to describe the propagation of elastic waves through a structure. The directional semi-analytical method combined analytical approach with numerical method is very efficient in solving complex problems. In this paper, dispersion relations for three-dimensional waveguides with rectangular cross-section are proposed by using directional semi-analytical method. Results show that a rectangular unit can be used to compute the dispersion curves for rectangular-rod. Geometric and physical parameters can affect the dispersion curves, and the influence on different modes is different. Finally, the proposed method is proven by the experiment.