The finite difference method considering the deflections of structures is used to determine the sectional forces of arches. For the optimization of arches, the objective function equations formulate with the volume of arch, and the constrained equatio...
The finite difference method considering the deflections of structures is used to determine the sectional forces of arches. For the optimization of arches, the objective function equations formulate with the volume of arch, and the constrained equations formulate with respect to the criteria of stress, minimum dimensions and economic depth of arch based on the korean standard code of road bridge.
The SUMT method using DFP algorithm is introduced and used to the numerical examples. And their results are compared and analyzed to examine the possibility of optimization, applicability and convergency of this algorithm.
The following results are obtained through this study.
1.The initial values of design variables play an important role on the determination of the number of iterations and optimum values in the structural optimization using the SUMT method with DFP algorithm.
2.It is found that this program is used to design the structures applied with the axial force and the bending moment, because it is taken into account the buckling influence of member.
3.The total volume variation of arch due to the increase of arch rise is approximately proportional to about the increasing ratio of arch rise.
4.It makes no large difference of optimum volume between the arch with one-stiffener and the arch with non-stiffener.
5.This optimizing algorithm can be used for the optimum design of the other structures.