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Fundamental frequency and testing mode of complicated elastic clamped-plate vibration

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Abstract

Aimed at the modal analysis of complicated elastic clamped-plates, a trigonometric interpolation method of conformal mapping is applied to set up the mapping function between a complicated region and a unit dish region, and the fundamental frequency of the complicated vibrating region is analyzed with the help of the Galerkin method. Taking an elastic rectangle-plate with arc radius as an example, the testing mode frequency band of plates is determined by analyzing the fundamental frequency; meanwhile, according to hamming testing method of multi-point excitation to the single-point response, and by signal processing technology and its software programming, modal parameter recognition of the elastic clamped-plate is completed. Comparing the first order modal frequency with the theoretical fundament frequency, the validity of the testing mode method and theoretical analysis are verified.

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References

  1. Yu A. Rossikhin. Analysis of damped vibrations of linear viscoelastic plates with damping modeled with fractional derivatives. Signal Processing, 2006, 86(10): 2703–2711

    Article  Google Scholar 

  2. Yang Q J. Vibration reliability characterization of PBGA assemblies. Microelectronics Reliability, 2000, 40(7): 1097–1107

    Article  Google Scholar 

  3. Pitarresi J M. Modeling of printed circuit cards subject to vibration. Circuits and Systems, 1990, 3: 2104–2107

    Article  Google Scholar 

  4. Felix D H. Natural frequencies of a vibrating repaired panel in an ocean structure. Ocean Engineering, 2003, (30): 955–963

  5. Pan Junqi, Liu Zhifeng. Recycling process assessment of mechanical recycling of printed circuit board. J Cent South Univ Technol, 2005, 12(2): 157–161

    Article  Google Scholar 

  6. Ndambi J M. Comparison of techniques for modal analysis of concrete structures. Engineering Structures, 2000, 22(9): 1159–1166

    Article  Google Scholar 

  7. Teppati. Conformal-mapping design tools for coaxial couplers with complex cross section. IEEE Transactions on Microwave Theory and Techniques, 2002, 50(10): 2339–2345

    Article  Google Scholar 

  8. Amatore. Simulation of the double hemicylinder generator-collector assembly through conformal mapping technique. Journal of Electroanalytical Chemistry, 2003, 553(Suppl): 49–61

    Article  Google Scholar 

  9. Netku Y. Conformal Field Theory. Cambridge Massachusetts USA: Perseus Pub, 2000-1v. 35

    Google Scholar 

  10. Qi Hongyuan, Zhu Hengjun. Conformal mapping modeling of metal plastic deformation and die cavity in special-shaped extrusion. Trans Nonferr Metal Soc, 2002, 12(5): 858–861

    Google Scholar 

  11. Crandall S. Engineering Analysis. New York: McGraw-Hill Book Co. 1950, 218

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical and Electric Control Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Hongyuan Qi & Yiduo Guan

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  1. Hongyuan Qi
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  2. Yiduo Guan
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Correspondence to Hongyuan Qi.

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Qi, H., Guan, Y. Fundamental frequency and testing mode of complicated elastic clamped-plate vibration. Front. Mech. Eng. China 3, 360–364 (2008). https://doi.org/10.1007/s11465-008-0084-4

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  • DOI: https://doi.org/10.1007/s11465-008-0084-4

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