DOI QR코드

DOI QR Code

축소시스템과 영역분할 기법과의 연동을 통한 대형구조물 설계 기법 연구

Structural Design Optimization on the Reduced System Constructed from Large-Scaled Problem

  • 김현기 (서울대학교 대학원 기계항공공학부) ;
  • 조맹효 (서울대학교 기계항공공학부)
  • 발행 : 2006.09.01

초록

In the present study, sizing and shape optimizations are performed based on the reduced system of large-scaled problem. In the analysis part to achieve efficiency and reliability of computation, two-level condensation scheme is applied. In the construction of reduced system of large scaled problems, it is much more efficient to use sub-domain method. Thus, in the present paper, two-level reduction method combined with sub-domain method is employed. Once the reduced system is constructed, it is straightforward to obtain design sensitivities from the analysis results of the reduced system We use semi-analytic method to obtain design sensitivities. Performance of the efficiency and reliability of the present reduction method in the structural optimization problem is demonstrated through the numerical examples. The present framework of reduction method should serve as a fast and reliable design tool in analysis and design of large-scaled dynamic problems.

키워드

참고문헌

  1. Craig, R.R. and Bampton, M., 1968, 'Coupling of Substructures for Dynamic Analysis,' AIAA Journal, Vol. 6, No. 7, pp. 1313-1319 https://doi.org/10.2514/3.4741
  2. Kim, T., Nam, C. and Kim, Y, 1997, 'Reduced-Order Aeroservoelastic Model with an Unsteady Aerodynamic Eigen Formulation,' AIAA Journal, Vol. 35, No.6, pp. 1087-1088 https://doi.org/10.2514/2.201
  3. Guyan, R.J., 1965, 'Reduction of Stiffness and Mass Matrices,' AIAA Journal, Vol. 3, No.2, p. 380 https://doi.org/10.2514/3.2874
  4. O'Callahan, J., 1989, 'A Procedure for an Improved Reduced System(IRS) Model,' Proceedings of the til International Modal Analysis Conference, Union college, Schenectady. NY, pp. 17-21
  5. Kim, K.O. and Kang, M.K., 2001, 'Convergence Acceleration of Iterative Modal Reduction Methods,' AIAA Journal, Vol. 39, No. 1,pp.134-140 https://doi.org/10.2514/2.1281
  6. Shah, V.N. and Raymund, M., 1982, 'Analytical Selection of Masters for the Reduced Eigenvalue Problem,' Int.J.Numer. Mech. Engng., Vol. 18, No.1, pp. 89-98 https://doi.org/10.1002/nme.1620180108
  7. Cho, M. and Kim, H., 2004, 'Element-Based Node Selection Method for Reduction of Eigenvalue Problems,' AIAA Journal, Vol. 42, No.8, pp. 1677-1684 https://doi.org/10.2514/1.5407
  8. Kim, H. and Cho, M., 2004, 'Construction of Reduced System by Two-Level Scheme and Refined Semi-Analytic Sensitivity Analysis Based on the Reduced System,' 45th AJAA/ASME/ASCE/AHS Structures, Smictural Dynamics, and Materials Conference, Palm Springs, CA, AIAA-17317
  9. Van Keulen, F. and De Boer, H., 1998, 'Rigorous Improvement of Semi-Analytical Design Sensitivities by Exact Differentiation of Rigid Body Motions,' Int.J. Numer.Mech.Engng., Vol. 42, pp. 71-91 https://doi.org/10.1002/(SICI)1097-0207(19980515)42:1<71::AID-NME350>3.0.CO;2-C