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http://dx.doi.org/10.5050/KSNVN.2005.15.12.1398

Free Vibration Analysis of Rectangular Plate with a Rectangular Cutout by Independent Coordinate Coupling Method  

Kwak, Moon K. (동국대학교 기계공학과)
Han, Sangbo (경남대학교 기계자동화공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.15, no.12, 2005 , pp. 1398-1407 More about this Journal
Abstract
This paper is concerned with the vibration analysis of a rectangular plate with a rectangular hole. Even though there have been many methods developed for the addressed problem, they suffer from computational time. In this paper, we developed a new methodology called Independent Coordinate Coupling Method which can couple two independent coordinate systems for the entire plate domain and the hole. By matching the deflection condition imposed on the expressions, the relationship between the global axes and the local axes is derived. This formula is then used for the calculation of the eigenvalue problem. The numerical results show the efficacy of the proposed method.
Keywords
Free Vibration; Rectangular Plate; Rectangular Cutout;
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1 Rajamani, A. and Prabhakaran, R., 1977, 'Dynamic Response of Composite Plates with Cut-outs, Part I: Simply-supported Plates', Journal of Sound and Vibration, Vol. 54, pp. 549-564   DOI   ScienceOn
2 Rajamani, A. and Prabhakaran, R., 1977, 'Dynamic Response of Composite Plates with Cutouts, Part II: Clamped-clamped Plates', Journal of Sound and Vibration, Vol. 54, pp. 565-576   DOI   ScienceOn
3 이영신, 이윤복, 1994, '2개의 원형구멍이 있는 4변고정, 등방성, 정사각형 판의 자유진동해석,' 한국소음진동공학회논문집, 제4권, 제3호, pp. 283-293
4 윤종욱, 이장무, 1996, '이중 사인 시리즈법에 의한 직사각형 평판의 자유진동해석,' 한국소음진동공학회논문집, 제6권, 제6호, pp. 771-77
5 Bhat, R. B., 1990, 'Numerical Experiments on the Determination of Natural Frequencies of Transverse Vibrations of Rectangular Plates of Nonuniform Thickness, 'Journal of Sound and Vibration, Vol. 138, pp. 205-219   DOI   ScienceOn
6 Lam, K. Y., Hung, K. C. and Chow, S. T., 1989, 'Vibration Analysis of Plates with Cut-outs by the Modified Rayleigh-Ritz Method,' Applied Acoustics, Vol. 28, pp. 49-60   DOI   ScienceOn
7 Monohan, L. J., Nemergut, P. J. and Maddux, G. E., 1970, 'Natural Frequencies and Mode Shapes of Plates with Interior Cut-outs,' The Shock and Vibration Bulletin, Vol. 41, pp. 37-49
8 Paramasivam, P., 1973, 'Free Vibration of Square Plates with Square Opening', Journal of Sound and Vibration, Vol. 30, pp. 173-178   DOI   ScienceOn
9 Aksu, G. and Ali, R., 1976, 'Determination of Dynamic Characteristics of Rectangular Plates with Cut-outs Using a Finite Difference Formulation', Journal of Sound and Vibration, Vol.44, pp.147-158   DOI   ScienceOn
10 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
11 Lam, K. Y. and Hung, K. C, 1990, 'Vibration Study on Plates with Stiffened Openings Using Orthogonal Polynomials and Partitioning Method,' Computers and Structures, Vol. 37, pp. 295-301   DOI   ScienceOn
12 Bhat, R. B., 1985, 'Natural Frequencies of Rectangular Plates Using Characteristic Orthogonal Polynomials in Rayleigh-Ritz Method,' Journal of Sound and Vibration, Vol. 102, pp. 493-499   DOI   ScienceOn
13 Bhat, R. B., 1985, 'Plate Deflections Using Orthogonal Polynomials,' American Society of Civil Engineers, Journal of the Engineering Mechanics Division, Vol. 111, pp. 1301-1309   DOI   ScienceOn
14 Laura, P. A. A., Romanelli, E. and Rossi, R. E., 1997, 'Transverse Vibrations of Simply-Supported Rectangular Plates with Rectangular Cutouts,' Vol. 202, No. 2, pp. 275-283
15 Sakiyama, T., Huang, M., Matsuda, H. and Morita, C, 2003, 'Free Vibration of Orthotropic Square Plates with a Square Hole,' Journal of Sound and Vibration, Vol.259, No. 1, pp.63-80   DOI   ScienceOn
16 이호섭, 김극천, 1984, '유공 직사각형 평판의 접수 진동,' 대한조선학회논문집, 제21권, 제1호, pp. 21-34
17 김극천, 한성용, 정정훈, 1987, '유공직사각형 보강판의 진동해석,' 대한조선학회지, 제24권, 제3호, pp. 35-42