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2008, Volume 3, Issue 4

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Frontiers of Mechanical Engineering >> 2008, Volume 3, Issue 4 doi: 10.1007/s11465-008-0084-4

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

School of Mechanical and Electric Control Engineering, Beijing Jiaotong University

Available online: 2008-12-05
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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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