A Graphical Edge Method to Solve Dispersion Equation of Lamb Waves
Lamb wave dispersion curves are the fundamental of Lamb wavesbased research and engineering application.Numerical solution is the only way to solve Rayleigh-Lamb equation and then the dispersion curves are obtained.Traditional- bisection method requires complex root intervals analyzing.A graphicaledge method is presented to simplify the process of solving 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 graphic boundary extraction method,the phase velocity dispersion curves are plotted.Graphic edge method can represent complex and abstract formulas graphically,simplifies the solution process and improves the solution efficiency.
Lamb waves Dispersion equation Phase velocity Graphical edge method
Bing Li Peng Duan Lei Qiang Jie Zhuo
School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, China Institute of Acoustic Engineering, Northwestern Polytechnical University, Xi’an, China
国际会议
西安
英文
471-479
2013-11-25（万方平台首次上网日期，不代表论文的发表时间）