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http://dx.doi.org/10.5050/KSNVN.2009.19.2.192

Free Vibration Analysis of a Simply-supported Circular Plate with a Concentric Square Hole by the Independent Coordinate Coupling Method  

Heo, Seok (건국대학교 인공근육연구센터)
Kwak, Moon-Kyu (동국대학교 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.19, no.2, 2009 , pp. 192-199 More about this Journal
Abstract
This paper presents the free vibration analysis of a circular plate with a concentric square hole. The boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by independent coordinate coupling method(ICCM). The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.
Keywords
Independent Coordinate Coupling Method; Circular Plate; Square Hole;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Heo, S. and Kwak, M. K., 2008, “Free Vibration Analysis of an Annular Plate by the Independent Coordinate Coupling Method,” Transactions of the Korean Society for Noise and Vibration Engineering. Vol. 18, No. 5, pp. 564-571   DOI   ScienceOn
2 Heo, S. and Kwak, M. K., 2008, “Free Vibration Analysis of a Circular Plate with an Eccentric Circular Hole by the Independent Coordinate Coupling Method,” Transactions of the Korean Society for Noise and Vibration Engineering. Vol. 18, No. 6, pp. 681-689   DOI   ScienceOn
3 Avalos, D. R., Larrondo, H. A., Laura, P. A. A. and Sonzogni, V., 1998, “Transverse Vibration of a Circular Plate with a Concentric Square Hole with Free Edges,” Journal of Sound and Vibration, Vol. 209, No. 5, pp. 889-891   DOI   ScienceOn
4 Hatch, M. R., 2001, “Vibration Simulation Using MATLAB and ANSYS,” Chapman and Hall/CRC
5 Leissa, A. W., 1969, “Vibration of Plates,” NASA SP160
6 Paramasivam, P., 1973, “Free Vibration of Square Plates with Square Opening,” Journal of Sound Vibration, Vol. 30, pp. 173-178   DOI   ScienceOn
7 Kwak, M. K. and Han, S. B., 2007, “Free Vibration Analysis of Rectangular Plate with a Hole by Means of Independent Coordinate Coupling Method,” Journal of Sound and Vibration, Vol. 306, No. 1-2, pp. 12-30   DOI   ScienceOn
8 Ali, R. and Atwal, S. J., 1980, “Prediction of Natural Frequencies of Vibration of Rectangular Plates with Rectangular Cutouts,” Computers and Structures, Vol. 12, pp. 819-823   DOI   ScienceOn
9 Vogel, S. M. and Skinner, D. W., 1965, “Natural Frequencies of Transversely Vibrating Uniform Annular Plates,” Transactions of the ASME. Journal of Applied Mechanics, Vol. 32, pp. 926-931   DOI
10 Kurasia, H. B. and Rawtani, S., 1978, “Vibration Analysis of Circular Plates with Eccentric Hole,” Transactions of the ASME, Journal of Applied Mechanics, Vol. 45, No. 1, pp. 215-217   DOI   ScienceOn