Analysis of dispersion characteristic eigenfrequency method for waveguides and application in plate strip
Received:May 29, 2012  Revised:September 16, 2012
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DOI:10.7511/jslx201304010
KeyWord:guided wave  finite element  eigenfrequency  plate strip  dispersion
        
AuthorInstitution
吴斌 北京工业大学 机械工程与应用电子技术学院,北京
刘飞 北京工业大学 机械工程与应用电子技术学院,北京
何存富 北京工业大学 机械工程与应用电子技术学院,北京
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Abstract:
      A new method that finite element eigenfrequency is presented to calculate wave motion problems.This method is based on the solving theory of vibration eigenfrequency,wavenumbers and modes are distinguished by modal shape,and the solution of phase velocity and group velocity are found.This method can be applied to any waveguide structure for the solution of dispersion relations.The maximum mesh element size and the minimum model length were analyzed for the precision requirement.Dispersion relations are calculated in simply supported plate strip.The results show that higher order modes were generated by boundary effect,boundary size decided cut frequency of new modes;with the increase of frequency,low order modes were consistent with basis mode;it was obvious that energy distribution affected by boundary in symmetrical modes.This paper also provides a valuable theoretical foundation for the analysis of experimental results.