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Development of a Criterion for Efficient Numerical Calculation of Structural Vibration Responses  

Kim, Woonkyung M. (Department of Radio Communications Engineering, College of information and Communications, Korea University)
Kim, Jeung-Tae (Department of Mechanical Engineering and System Design, College of Engineering, Hongik University)
Kim, Jung-Soo (Department of Mechanical Engineering and System Design, College of Engineering, Hongik University)
Publication Information
Journal of Mechanical Science and Technology / v.17, no.8, 2003 , pp. 1148-1155 More about this Journal
Abstract
The finite element method is one of the methods widely applied for predicting vibration in mechanical structures. In this paper, the effect of the mesh size of the finite element model on the accuracy of the numerical solutions of the structural vibration problems is investigated with particular focus on obtaining the optimal mesh size with respect to the solution accuracy and computational cost. The vibration response parameters of the natural frequency, modal density, and driving point mobility are discussed. For accurate driving point mobility calculation, the decay method is employed to experimentally determine the internal damping. A uniform plate simply supported at four corners is examined in detail, in which the response parameters are calculated by constructing finite element models with different mesh sizes. The accuracy of the finite element solutions of these parameters is evaluated by comparing with the analytical results as well as estimations based on the statistical energy analysis, or if not available, by testing the numerical convergence. As the mesh size becomes smaller than one quarter of the wavelength of the highest frequency of interest, the solution accuracy improvement is found to be negligible, while the computational cost rapidly increases. For mechanical structures, the finite element analysis with the mesh size of the order of quarter wavelength, combined with the use of the decay method for obtaining internal damping, is found to provide satisfactory predictions for vibration responses.
Keywords
Natural Frequency; Modal Density; Driving Point Mobility; Plate; Finite Element Method; Mesh Size; Damping;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Lyon, R. H., 1987, Machinery Noise Diagnostics, Butterworths
2 Ramesh,T. C. and Ganesan, N., 1994, 'Finite Element Analysis of Cylindrical Shells with a Constrained Viscoelastic Layer,' J. Sound & Vib., Vol. 172, No. 3, pp. 359-370   DOI   ScienceOn
3 Ahmadian, H., Gladwell, G. and Ismail, F., 1994, 'Finite Element Model Identification using Modal Date,' J. Sound & Vib., Vol. 172, No. 5, pp. 657-669   DOI   ScienceOn
4 Burroughs, C. B. and Fischer, R. W., 1997, 'An Introduction to SEA,' J. Acoust. Soc. Am., Vol. 101, pp. 1779-1989   DOI
5 Clarkson, B. L. and Pope, R. J., 1981, 'Experimental Determination of Modal Densities and Loss Factors of Flat Plates and Cylinders,' J. Sound & Vib., Vol. 77, No. 4, pp. 535-549   DOI   ScienceOn
6 Cremer, L., Heckel, M. and Ungar, E., 1973, Structure-bourne Sound, Berlin, Springer-Verlag
7 Fahy, F., 1985, Sound and Structural Vibration, Academic Press, Inc.
8 Lyon, R.H., 1975, Statistical Energy Analysis of Dynamic Systems: Theory and Application, MIT Press
9 Jiang, J. and Olson, M. D., 1994, 'Vibration Analysis of Orthogonally Stiffened Cylindrical Shells using Super Finite Elements,' J. Sound & Vib., Vol. 173, No. 1, pp. 73-83   DOI   ScienceOn
10 Irwin, J. D. and Graf, E. R., 1979, Industrial Noise and Vibration Control, Prentice-Hall, Inc
11 Labor, N., 1996, 'The Use of FEM Models to Predict and Reduce Engine Noise,' Int. Symposium on Vehicle NVH
12 Leissa, A. W., 1969, Vibration of Plate, NASA SP 60