Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Structural Optimization Using Equivalent Static Loads and Substructure Synthesis Method

등가정하중법과 부분구조합성법을 이용한 구조최적설계

  • Received : 2015.04.17
  • Accepted : 2015.06.17
  • Published : 2015.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Structural optimization pursues improved performance of structures. Nowadays, structural optimization is applied to the design of huge and complex structures such as an airplane. As the number of the finite elements is increased, the analysis solution becomes more accurate. However, the design cost using the finite element model is significantly increased. The component mode synthesis method that is using the substructure synthesis method is frequently employed in order to keep the accuracy and reduce the cost. A new design method for structural optimization is proposed to reduce the design cost and to consider the dynamic effect of the structure. The proposed method reduces the design cost by applying the equivalent static loads on the design domain. An example of linear dynamic response optimization is solved and the efficiency of the proposed method is demonstrated.

구조최적설계는 구조물의 성능 개선을 추구하며, 최근에는 구조최적설계는 항공기와 같이 복잡하고 대형인 구조물의 설계에 적용되고 있다. 해석의 정확도를 높이기 위해 유한요소의 수가 증가하는 추세이나 이는 설계 비용의 증가로 이어진다. 이에 부분구조합성법으로써 구분모드합성법이 해석시간 단축을 위해 종종 사용되어 왔다. 본 연구에서는 구조물의 동적특성을 고려하고 해석의 정확도는 유지하면서, 설계에 소요되는 시간과 비용을 줄일 수 있는 설계방법을 제안한다. 제안한 방법은 등가정하중을 이용한 동적응답 최적설계에, 부분구조합성법을 적용하여 설계영역만을 고려한 구조최적설계를 수행하는 것이다. 제안한 방법의 유용성 검증을 위하여 선형 및 비선형 동적응답 최적설계의 예제를 풀이하고, 그 결과에 대해 토의한다.

Keywords

References

  1. Hong, 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. https://doi.org/10.3795/KSME-A.2010.34.5.519
  2. Hurty, W. C., 1960, "Vibrations of Structural Systems by Component-Mode Synthesis," Journal of the Engineering Mechanics Division, ASCE, Vol. 86, pp. 51-69.
  3. Hale, A. L., 1980, "A General Substructure Synthesis Method for the Dynamic Simulation of Complex Structures," Journal of Sound and Vibration, ASCE, Vol. 69, No. 2, pp. 309-326. https://doi.org/10.1016/0022-460X(80)90615-X
  4. Haftka, R. T. and Gurdal, Z., 1991, Element of Structural Optimization, Kluwer Academic Publishers, The Netherlands.
  5. Truman, K. Z. and Petruska, D. J., 1991, "Optimum Design of Dynamically Excited Structural Systems Using Time History Analysis," OPT191-International Conference for Computer Aided Optimum Design of Structures, Boston, MA, June 25-27.
  6. Azhar, H. Jawed and Morris, A. J., 1984, "Higherorder Updates for Dynamic Responses in Structural Optimization," Computer Methods in Applied Mechanics and Engineering, Vol. 49, No. 2, pp. 175-201. https://doi.org/10.1016/0045-7825(85)90059-3
  7. Hsieh, C. C. and Arora, K. S., 1985, "Design Sensitivity Analysis and Optimization of Dynamic Response," Computer Methods in Applied Mechanics and Engineering, Vol. 43, No. 2, pp. 195-219. https://doi.org/10.1016/0045-7825(84)90005-7
  8. Park, G. J., 2007, Analytic Methods for Design Practice, Springer-Verlag, Germany.
  9. Choi, W. S. and Park, G. J., 2002, "Structural Optimization Using Equivalent Static Loads at All the Time Intervals," Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 19, pp. 2077-2094.
  10. Choi, W. S. and Park, G. J., 1999, "Transformation of Dynamic Loads into Equivalent Static Loads Based on Model Analysis," International Journal for Numerical Methods in Engineering, Vol. 46, No. 1, pp. 29-43. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:1<29::AID-NME661>3.0.CO;2-D
  11. Kang, B. S., Choi, W. S. and Park, G. J., 2001, "Structural Optimization Under Equivalent Static Loads Transformed from Dynamic Loads Based on Displacement," Computer & Structures, Vol. 79, No. 2, pp. 145-154. https://doi.org/10.1016/S0045-7949(00)00127-9
  12. Kang, B. S., Park, G. J. and Arora, J. S., 2005, "Optimization of Flexible Multibody Dynamic Systems Using the Equivalent Static Loads Method," AIAA Journal, Vol. 43, No. 4, pp. 846-854. https://doi.org/10.2514/1.4294
  13. Kim, Y. I. and Park, G. J., 2010, "Nonlinear Dynamic Response Structural Optimization Using Equivalent Static Loads," Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issues 9-12, pp. 660-676. https://doi.org/10.1016/j.cma.2009.10.014
  14. Qiu, J. B., Ying, Z. G. and Williams F. W., 1997, "Exact Model Synthesis Techniques using Residual Constraint Modes," International Journal for Numerical Methods in Engineering, Vol. 40, pp. 2475-2492. https://doi.org/10.1002/(SICI)1097-0207(19970715)40:13<2475::AID-NME176>3.0.CO;2-L
  15. Craig, R. R. and Bampton, M. C., "Coupling of Substructures for Dynamic Analysis," AIAA Journal, 6, 1968, 1313-1319. https://doi.org/10.2514/3.4741
  16. Bennighof, J. K., Kaplan, M. F., Kim, C. W. and Muller, M. B., 2001, "Implementing Automated Multi- Level Substructuring in Nastran Vibroacoustic Analysis," Proc. of SAE Noise and Vibration Conference, SAE paper, 2001-01-1405.
  17. MSC.NASTRAN 2013.1 User's Manual, MSC.Software, USA.
  18. MSC.NASTRAN 2013.1 DMAP User's Manual, MSC.Software, USA.
  19. LS-DYNA V971 User's Manual, Livemore Software Technology Co, USA.