摘要
为了分析管道中导波传播特性,首先使用半解析有限元法,推导出了圆柱坐标系下管道中弹性导波传播的特征值方程,对特征值方程求解特征值,计算出了圆形管道中导波频散曲线,并通过实验对计算结果进行了验证;然后,计算得到了L(0,2)、T(0,1)、F(1,1)三种导波模态下管道截面的位移分布及截面变形特征图,计算结果可以有效直观地反映各导波模态的振动特征;最后,对L(0,2)、T(0,1)两种模态下管道截面上的能流密度分布进行了计算,结合ANSYS数值模拟分析发现,T(0,1)、L(0,2)导波对管道内、外壁处缺陷的检测能力与能流密度分布密切相关,缺陷检测信号的幅值比与能流密度比具有较高的一致性。
In order to analyze the propagation characteristic of guided wave in pipes,the eigenvalue equation of elastic guided wave propagation in a pipe under cylindrical coordinate system was derived using the semi-analytical finite element method,the eigenvalues were solved and the guided wave dispersion curves in the circular pipeline were calculated,which was verified by experiments.And then the displacement distribution and section deformation of the pipeline section for L(0,2),T(0,1)and F(1,1)mode guided waves were calculated,which effectively and intuitively described the vibrational characteristics of these modes.Consequently,the energy flow density distribution on the pipeline section for L(0,2)and T(0,1)modes were calculated.Combined with numerical simulation analysis using ANSYS software,it is found that the ability of T(0,1)and L(0,2)mode guided waves to detect defects at the inner and outer walls of the pipe is closely related to the energy flow density distribution.The amplitude ratio of the defect detection signals has a high consistency with the energy flow density ratio.
作者
朱龙翔
王悦民
孔光明
李小丽
段刚
ZHU Long-xiang;WANG Yue-min;KONG Guang-ming;LI Xiao-li;DUAN Gang(Qingdao Campus of Naval Aviation Univ., Qingdao 266041, China;College of Power Engineering, Naval Univ. of Engineering, Wuhan 430033, China)
出处
《海军工程大学学报》
CAS
北大核心
2021年第5期45-51,共7页
Journal of Naval University of Engineering
基金
国家部委基金资助项目(9140A27020115JB11070)。
关键词
半解析有限元法
导波传播特性
能流密度
semi-analytical finite element method
guided wave propagation characteristic
energy flow density
