Truss Ooptimization Using Homology Constraints under Multiple Loadings

호몰로지 제한조건을 이용한 다중하중하의 트러스 최적설계

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  • Kim, Kyung-Keun ;
  • Park, Gyung-Jin
  • 이권희 (회원, 한양대학교 대학원 기계설계학과) ;
  • 김경근 ;
  • 박경진 ;
  • ;
  • Published : 1996.09.01


The deformation of a structure shall be called homologous, if a given geometrical relation holds, for a given number of structural points, before, during, and after the deformation. Some researchers have utilized the idea on structural design with finite element method. The approaches use the decomposition of the FEM equation or equality of eqality equations to obtain homologous deformation. However, weight reduction and response constraints such as stress, displacement or natural frequency cannot be considered by those theories. An optimization method solving the above problems is suggested to gain homologous deformation. Homology constraints can be considered under multiple loadindg conditions as well as a single loading condition. Homology index is defined for the multiple loading conditions Examples are solved to present the performances of the method.


Homologous Deformation;Generalized Inverse Matrix;Multiple Loading Condition;Homology Index