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http://dx.doi.org/10.3795/KSME-A.2017.41.10.905

Size Optimization of a Rod Using Frequency Response Functions of Substructures  

Yoon, Hong Geun (Hyundai Mobis)
Lee, Jin Woo (Dept. of Mechanical Engineering, Ajou Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.41, no.10, 2017 , pp. 905-913 More about this Journal
Abstract
In this work, a method of size optimization is proposed to maximize the natural frequency of a rod that consists of a hidden shape in one part and an exposed shape in the other. The frequency response function of a rod composed of two parts is predicted by using the frequency response functions of each of the parts instead of the shapes of the parts. The mass and stiffness matrices of the rod are obtained by using the mass and stiffness matrices of the equivalent vibration systems, which are obtained by applying the experimental modal analysis method to the frequency response functions of the parts. Through several numerical examples, the frequency response function obtained by using the proposed method is compared with that of a rod to validate the prediction method based on equivalent vibration systems. A size optimization problem is formulated for maximizing the first natural frequency of a combined rod, which is replaced with an equivalent vibration system, and a rod structure is optimized by using an optimization algorithm.
Keywords
Frequency Response Function; Equivalent Vibration System; Size Optimization; Modal Analysis; Rod; Substructure;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Hurty, W. C., 1960, "Vibrations of Structural Systems by Component Mode Synthesis," J. Eng Mech. Div-ASCE, Vol. 86, No. 4, pp. 51-70.
2 Craig Jr, R. R. and Bampton, M. C., 1968, "Coupling of Substructures for Dynamic Analyses," AIAA J., Vol. 6, No. 7, pp. 1313-1319.   DOI
3 Oh, J. E., Lee, J. H. and Lim, D. K., 1994, "A Study on the Identification and Improvement of Dynamic Characteristics of Large Structure by Component Mode Synthesis Method," Trans. Korean Soc. Noise Vib., Vol. 4, No. 3, pp. 327-335.
4 Kim, B. S., Kim, B. S. and Yoo, H. H., 2010, "Analysis of Vibration Characteristics of a Full Vehicle Model Using Substructure Synthesis Method," Trans. Korean Soc. Mech. Eng. A, Vol. 34, No. 5, pp. 519-525.   DOI
5 Choi, W. H., Na, Y. S. and Park, G. J., 2015, "Structural Optimization Using Equivalent Static Loads and Substructure Synthesis Method," Trans. Korean Soc. Mech. Eng. A, Vol. 39, No. 8, pp. 823-830.   DOI
6 Tsai, J. S. and Chou, Y. F., 1988, "The identification of Dynamic Characteristics of a Single Bolt Joint," J Sound Vib., Vol. 125, No. 3, pp. 487-502.   DOI
7 Yang, T., Fan, S. H. and Lin, C. S., 2003, "Joint Stiffness Identification Using FRF Measurements," Comput. Struct., Vol. 81, No. 28-29, pp. 2549-2556.   DOI
8 Klerk, D. D., and Rixen, D. J. and Voormeeren, S. N., 2008, "General Framework for Dynamic Substructuring: History, Review, and Classification of Techniques," AIAA J., Vol. 46, No. 5, pp. 1169-1181.   DOI
9 Craig, R. R. and Kurdila, A. J., 2006, Fundamentals of Structural Dynamics, John Wiley & Sons, New Jersey.
10 Maia, N. M. M. and Silva, J. M. M., 1997, Theoretical and Experimental Modal Analysis, Research Studies Press LTD., England.
11 Heylen, W., Lammens, S. and Sas P., 1995, Modal Analysis Theory and Testing, Department Werktuigkunde, Katholieke Universteit Leuven.
12 Ewins, D. J., 2000, Modal Testing: Theory, Practice and Application, Research Studies Press LTD., England.
13 McConnell, K. G., 1995, Vibration Testing: Theory and Practice, John Wiley & Sons, New York.
14 Allen, M. S., Mayes, R. L. and Bergman, E. J., 2010, "Experimental Modal Substructuring to Couple and Uncouple Substructures with Flexible Fixtures and Multi-Point Connections," J Sound Vib, Vol. 329, No. 23, pp. 4891-4906.   DOI
15 Meirovitch, L., 2001, Fundamentals of vibrations, McGraw-Hill, New York.
16 Svanberg, K., 1987, "The Method of Moving Asymptotes- a New Method for Structural Optimization," Int. J. Numer. Meth. Eng., Vol. 24, No. 2, pp. 359-373.   DOI