|
|
|
Fundamental frequency and testing mode of complicated
elastic clamped-plate vibration |
| QI Hongyuan, GUAN Yiduo |
| School of Mechanical and Electric Control Engineering, Beijing Jiaotong University |
|
|
|
|
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.
|
|
Issue Date: 05 December 2008
|
|
| 1 |
Yu A . Rossikhin.Analysis of damped vibrations of linear viscoelastic plates with dampingmodeled with fractional derivatives. SignalProcessing, 2006, 86(10): 2703–2711.
doi:10.1016/j.sigpro.2006.02.016
|
| 2 |
Yang Q J . Vibration reliability characterization of PBGA assemblies. Microelectronics Reliability, 2000, 40(7): 1097–1107
|
| 3 |
Pitarresi J M . Modeling of printed circuit cards subject to vibration. Circuits and Systems, 1990, 3: 2104–2107.
doi:10.1109/ISCAS.1990.112213
|
| 4 |
Felix D H . Natural frequencies of a vibrating repaired panel in an ocean structure. Ocean Engineering, 2003, (30): 955–963.
doi:10.1016/S0029-8018(02)00082-3
|
| 5 |
Pan Junqi, Liu Zhifeng . Recycling process assessmentof mechanical recycling of printed circuit board. J Cent South Univ Technol, 2005, 12(2): 157–161.
doi:10.1007/s11771-005-0031-z
|
| 6 |
Ndambi J M . Comparison of techniques for modal analysis of concrete structures. Engineering Structures, 2000, 22(9): 1159–1166.
doi:10.1016/S0141-0296(99)00054-1
|
| 7 |
Teppati. . Conformal-mappingdesign tools for coaxial couplers with complex cross section. IEEE Transactions on Microwave Theory and Techniques, 2002, 50(10): 2339–2345.
doi:10.1109/TMTT.2002.803424
|
| 8 |
Amatore. . Simulationof the double hemicylinder generator-collector assembly through conformalmapping technique. Journal of ElectroanalyticalChemistry, 2003, 553(Suppl) 49–61.
doi:10.1016/S0022-0728(03)00269-9
|
| 9 |
Netku Y . ConformalField Theory. Cambridge Massachusetts USA: Perseus Pub,2000-1v. 35
|
| 10 |
Qi Hongyuan, Zhu Hengjun . Conformal mapping modelingof metal plastic deformation and die cavity in special-shaped extrusion. Trans Nonferr Metal Soc, 2002, 12(5): 858–861
|
| 11 |
Crandall S . EngineeringAnalysis. New York: McGraw-Hill Book Co. 1950, 218
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
