TRUSS OPTIMIZATION CONSIDERING HOMOLOGOUS DEFORMATION UNDER MULTIPLE LOADINGS

The deformation of a structure shall be called homologous, if a given geometrical relation holds for a given number of structural points bef ore, during, and after the deformation. Some researchers have utilized the idea of structural design with the finite element method. The app roaches use the decomposition of the FEM equation or equality equation s to obtain homologous deformation. However, weight reduction and resp onse constraints such as stress, displacement or natural frequency can not be considered by those theories. An optimization method solving th e above problems is suggested for obtaining homologous deformation. Ho mology constraints can be considered under multiple loading conditions as well as a single loading condition. A homology index is defined fo r multiple loading conditions. Examples are solved to demonstrate the performance of the method.