Second-order method of generalized geometric programming for spatial frame optimization Original Research Article

To design concrete sectional sizes of beams, the optimization model of the spatial frame is transformed into a problem of GGP (generalized geometric programming) in terms of the Duffinʹs condensation formula. Adopting the strategy of two stages, the problem is solved by the structure stage and the elements stage, alternately. The first- and the second-order primal algorithm for the GGP, which are based on the first- and the second-order expansions under the logarithmic transformation in the logarithmic space, are applied in the elements stage and the structure stage, respectively. Numerical results including a large scale structure of the electrostatic precipitator show satisfactory efficiency of the method.