A ENTROPY-BASED OPTIMIZATION METHOD FOR STRUCTURAL DESIGN OF FRAME AND BEAMS

摘要

Based on the thought of two-phase optimization for structural design, A Maximum Entropy Method for optimum design of structure is presentet in this paper. This method can be applied to such structure as continous beam without beam-column members and structure as frame with beam-column members. Firstly, using variable replacement, both object function and constraint functions can be expressed by idemptemt exponent and reciproal sum of basic unknown variables. Then introducing special contraints, a continous problem is equivalently substitued for the discrete one. All the optimum process is a iterative approaching course. Every cycle of iteration contains structure-phase and character-phase optimization. At the character-phase optimizstion, optimum distribution of surrogate multipliers are obstained by using the principle of Maximum Entropy; at the structure-phase optimization the minimum weight design is gained. As analystic expressions of optimum solution can be acquired in two phase, iterative procedure of optimization is transmitted into a group of mechanics analyses and algebra calculation. So this method is very simple to oprate and high efficient.