Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
권호 표지
DOI QR코드

DOI QR Code

Study on Topology Optimization for Eigenfrequency of Plates with Composite Materials

복합재료판 구조물의 고유진동수 위상최적화에 관한 연구

  • 김화일 (부산가톨릭대학교 산업보건학과) ;
  • 윤혁기 (부산대학교 건축공학과) ;
  • 한경민 (부산대학교 건축공학과)
  • Published : 2009.12.20
Download PDF
⟨ Previous Next ⟩

Abstract

The aim of this research is to construct eigenfrequency optimization codes for plates with Arbitrary Rank Microstructures. From among noise factors, resonance sound is main reason for floor's solid noise. But, Resonance-elusion design codes are not fixed so far. Besides, The prediction of composite material's capability and an resonance elusion by controlling natural frequency of plate depend on designer's experiences. In this paper, First, using computer program with arbitrary rank microstructure, variation on composite material properties is studied, and then natural frequency control is performed by plate topology optimization method. The results of this study are as followed. 1) Programs that calculate material properties along it's microstructure composition and control natural frequency on composite material plate are coded by Homogenization and Topology Optimization method. and it is examined by example problem. 2) Equivalent material properties, calculated by program, are examined for natural frequency. In this paper, Suggested programs are coded using $Matlab^{TM}$, Feapmax and Feap Library with Homogenization and Topology Optimization method. and Adequacy of them is reviewed by performing the maximization or minimization of natural frequency for plates with isotropic or anisotropic materials. Since the programs has been designed for widely use. If the mechanism between composite material and other structural member is identified, extension application may be possible in field of structure maintenance, reinforcement etc. through application of composite material.

Keywords

References

  1. Bulman, S., Sienz, J. and Hinton, E., 2001, 'Comparisons between Algorithms for Structural Topology Optimization Using a Series of Benchmark Studies,' Computers and Structures, Vol. 79, pp. 1203-1218 https://doi.org/10.1016/S0045-7949(01)00012-8
  2. Zienkiewicz, O. C. and Taylor, R. L., 2005, 'The Finite Element Method,' 6th edition, Elsevier, Oxford
  3. Afonso, S. M. B., Sienz, J. and Belblidia, F., 2005, 'Structural Optimization Strategies for Simple and Integrally Stiffenedplates and Shells,' International Journal for Computer-aided Engineering and Software, Vol. 22, No. 4, pp. 429-452 https://doi.org/10.1108/02644400510598769
  4. Rozvany, G. I. N., 1997, 'Topology Optimi-zation in Structural Mechanics,' Springer Wien NewYork, pp. 237-322
  5. Diaz, A. R., Lipton, R. and Soto, C.A., 1995, 'A New Formulation of the Problem of Optimum Reinforcement of Reissner-Mindlin Plates,' Computer Methods in Applied Mechanics and Engineering, pp. 121-139
  6. Krog, L. A. and Olhoff, N., 1999, 'Optimum Topology and Reinforcement Design of Disk and Plate Structures with Multiple Stiffness and Eigenfrequency Objectives,' Computers and Structures, Vol. 72, pp. 535-563 https://doi.org/10.1016/S0045-7949(98)00326-5
  7. Han, K. M. and Park, S. S., 2006, 'Study on Structural-acoustic Characteristic Analysis of Composite Plate with Homogenization Method,' Association of Architectural Institute of Korea, Vol. 8, No. 4, pp. 89-96
  8. Lee, J. W. and Kim, Y. Y., 2008, 'Topology Optimization Based Partition Design for Maximizing or Minimizing the Eigenfrequency of a Double Cavity,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 11, pp. 1118-1127 https://doi.org/10.5050/KSNVN.2008.18.11.1118