Browse > Article
http://dx.doi.org/10.5050/KSNVN.2005.15.12.1347

Free Vibration Analysis of Al Cantilever Square Plates with a Brass Inclusion  

Lee, Youn-bok (충남대학교 대학원 기계설계공학과)
Lee, Young-shin (충남대학교 기계설계공학과)
Lee, Se-hoon (충남대학교 대학원 기계설계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.15, no.12, 2005 , pp. 1347-1354 More about this Journal
Abstract
The free vibration characteristics of Al cantilever square plates with a brass inclusion were analyzed experimentally and numerically The experimentally obtained natural frequencies and mode shapes were compared with the FEM analysis results. The impulse exciting method was used for experiment and ANSYS software package was used for FEM analysis. The natural frequencies obtained iron experiment and numerical analysis matched within $0\%$. It was found that the natural frequencies of the Al cantilever square plates with a brass inclusion decrease as the size of inclusion increases. For the third mode shape, comparing the nodal line of the Al plate and the Al plate with a inclusion, the mode shape showed the reversed quadratic curve. The natural frequencies of inclusion plate were decreased as the location of inclusion moves from the clamped edge to the tree edge.
Keywords
Free Vibration; Cantilever Plate; Elastic Inclusion; Vibration Characteristic; Mode Shape; Nodal Line;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Halvorson, W. G. and Brown, D. L., 1977, 'Impulse Technique for Structural Frequency Response Testing,' Sound and Vibration, November, pp. 8-21
2 이영신 등, 1994, '2개의 원형구멍이 있는 4변고정 등방성 정사각형판의 자유진동해석,' 한국소음진동공학회논문집, 제4권, 제3호, pp. 283-293
3 Laura, P. A. A. and Gutierrez, R. H., 1984, 'Transverse Vibrations of Orthotropic, Non-Homogeneous Rectangular Plate,' Fibre Science and Technology, Vol. 21, pp. 125-133   DOI   ScienceOn
4 Ercoli, L. and Laura, P. A. A., 1992, 'Transverse Vibration of an Isotropic, Simply Supported Rectangular Plate with an Orthotropic Inclusion,' Journal of Sound and Vibration, Vol. 153, No. 2, pp. 217-221   DOI   ScienceOn
5 이영신 등, 1994, '외팔형 복합재료 및 혼합적층 사각판의 자유진동해석,' 대한기계학회논문집, 제18권, 제8호, pp. 1899-1909
6 Rajalingham, C., Bhat, R. B. and Xistris, G. D., 1996, 'Closed Form Approximation of Vibration Modes of Rectangular Cantilever Plates by the Variational Reduction Method,' Journal of Sound and Vibration, Vol. 197, No. 3, pp. 263-281   DOI   ScienceOn
7 Chang, D., Wang, G. and Wereley, N. M., 2003, 'Analysis and Application of Extended Kantorovich-Krylov Method,' Applicable Analysis, Vol.82, No.7, pp.713-740   DOI   ScienceOn
8 Blevins, R. D., 1979, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold Company, New York, p. 268, p. 254
9 Barun, S. G. Ewins, D. J. and Rao, S. S., 2002, Encyclopedia of Vibration, Academic Press, New York, Appendix 5
10 Timoshenko, S. P. and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, McGraw-Hill, Inc., Singapore, pp. 322-323
11 Bucara, J. A., Romano, A. J. and Abraham, P., 2004, 'Detection and Localization of Inclusions in Plates Using Inversion of Point Actuated Surface Displacements,' The Journal of the Acoustical Society of America, January, Vol. 115, No.1, pp. 201-206   DOI   ScienceOn
12 Leissa, A. W.. 1969, 'Vibration of Plates,' NASA SP-160, pp. 83-85
13 Kohnke, P. C, 1989, ANSYS Engineering Analysis System Theoretical Manual, Swanson Analysis System, Inc