摘要
为了简化Lamb波频率方程的求解过程,采用了图解法进行求解。首先划分了Lamb波频散方程的取值区间,并对标准频散方程做了公式修正,运用图解法将抽象公式可视化,结合图形分析,确定了频散方程的求解方式,最终通过二分法求解得到Lamb波频散方程的数值解,绘制了相速度频散曲线,并运用模态跟踪算法,绘制出了群速度频散曲线。图解法可以将复杂抽象的公式用图形表示,简化了求解过程,提高了求解效率。
A graphical method is used to simplify the process of solving a dispersion equation of Lamb wave. First, solution intervals of the Lamb wave dispersion equation are divided and the standard dispersion equation is modified. Next, the graphical method is used to visualize abstract formulas, combined with graphical analysis to determine how to solve dispersion equations. Finally, the dichotomy method is used to acquire the numerical solution of dispersion equation of Lamb wave, and dispersive curves are obtained in terms of phase velocity and frequency. By modes tracking and calcu- lation, the group velocity is acquired. Graphic method can represent complex and abstract formulas graphically, simplifies the solution process and improves the solution efficiency.
出处
《电子测量与仪器学报》
CSCD
2012年第11期966-971,共6页
Journal of Electronic Measurement and Instrumentation
基金
国家863计划(编号:2011AA11A102)资助项目
中央直属高校基本科研业务费(编号:M11JB00060)
关键词
LAMB波
频散方程
相速度
群速度
Lamb wave
dispersion equation
phase velocity
group velocity
