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Structural Layout Optimization Strategy Considering Assemblage

조립성을 고려한 위상 최적설계법 개발

  • 최국진 (서울대학교 멀티스케일 설계 연구단) ;
  • 김명진 (서울대학교 멀티스케일 설계 연구단) ;
  • 김윤영 (서울대학교 멀티스케일 설계 연구단) ;
  • 장강원 (군산대학교 기계공학부)
  • Published : 2006.05.01

Abstract

In the ground-structure-based topology optimization, beam elements are regarded to be rigidly connected to each other, and joints are assumed to have infinite stiffness. Thus the optimized topology of a structure is obtained according to the assumption of no joint effect, and the resulting structure should be manufactured in one piece if the joint effect is to be excluded as much as possible. The underlying problems are that 1) the performance of the structure might be seriously decreased if the members of the structure are connected through welding or bolting, not manufactured in one piece, and 2) the topology of the structure will be changed if the joint effect is taken into account. In the paper, the assemblage issue is considered on topology optimization, and a new formulation based on the joint stiffness-varied ground beam structure is developed. Joints of a beam structure are modeled by elastic spring elements whose stiffnesses are controlled by design variables during the optimization.

Keywords

Topology Optimization;Assemblage;Ground Structure;Joint Effect

References

  1. Bendsoe, M. P. and Kikuchi, N., 1988, 'Generating Optimal Topologies in Structural Design Using a Homogenization Method,' Comput. Meth. Appl. Mech. Engng. Vol. 71, pp. 197-224 https://doi.org/10.1016/0045-7825(88)90086-2
  2. Diaz, A. R. and Kikuchi, N., 1992, 'Solutions to Shape and Topology Eigenvalue Optimization Problems using a Homogenization Method,' Int. J. Numer. Meth. Engng. Vol. 35, pp. 1487-1502 https://doi.org/10.1002/nme.1620350707
  3. Kim, Y. Y. and Kim, T. S., 2000, 'Topology Optimization of Beam Cross Sections,' Int. J. Solids and Structures, Vol. 37, pp. 477-493 https://doi.org/10.1016/S0020-7683(99)00015-3
  4. Chae, J. S. and Min S. J., 2004, 'Structural Design of Piezoelectric Microactuator Using Topology Optimization,' Transactions of the KSME A, Vol. 28(2), pp. 206-213 https://doi.org/10.3795/KSME-A.2004.28.2.206
  5. Sigmund, O. and Petersson, J., 1998, 'Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing with Checkerboards, Mesh-independencies and Local Minima,' Structural Optimization, Vol. 16, pp. 68-75 https://doi.org/10.1007/BF01214002
  6. Moon, Y. M., Jee, T. H. and Park, Y. P., 1996, 'A Study on the Joint Stiffness of Automotive Structural Model,' Transactions of the KSME A, Vol. 20(5), pp. 1445-1457
  7. Yim, H. J., Kang, J. H., Kim, J. H. and Kim, Y. Y., 1995, 'On the Estimation of the Box Beam T-Joint Stiffness,' Transactions of the KSAE, Vol. 3(4), pp. 68-77
  8. Yoon, G. H. and Kim, Y. Y., 2005, 'Element Connectivity Parameterization for Topology Optimization of Geometrically Nonlinear Structures,' International Journal of Solids and Structures, Vol. 42, No. 7, pp. 1983-2009 https://doi.org/10.1016/j.ijsolstr.2004.09.005
  9. Bendsoe, M. P. and Sigmund, O., 1999, 'Material Interpolation Schemes in Topology Optimization,' Archive of Applied Mechanics, Vol. 69, pp. 635-654 https://doi.org/10.1007/s004190050248