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1.历史的回顾 1.1 早期的工作 数学规划方法用于结构优化设计问题,有相当短但生动的历史。1958年以前,这一领域的研究建立在塑性设计原理上。简要地说,这种方法是在结构受到按比例加大使用载荷而得到的过载作用下,防止塑性破坏并探求重量最轻。在塑性设计原理中,一类重要的结构优化问题可公式化成线性规划。线性规划方法早期用于以塑性破坏理论为基础的平面框架最小重量设计,它并没有考虑多种加载或交替的加载情况。后来,认识到在塑性设计原理中需要处理交替加载情况并成功地进行了处理。早期数学规划方法用于最优结构设计是取线性规划的形式,因为它们是在简化塑性破坏设计原理范围内用公式表述的。
1. Historical review 1.1 Early work Mathematical planning methods were used for structural optimization design problems and had a rather short but dramatic history. Prior to 1958, research in this area was based on the principle of plastic design. In brief, this method is to prevent plastic damage and seek the lightest weight under the overload effect that the structure is subjected to proportionally increasing the load. In the plastic design principle, an important class of structural optimization problems can be formulated as a linear programming. The linear programming method was originally used for the minimum weight design of a planar frame based on plastic failure theory. It does not consider multiple loading or alternate loading conditions. Later, it was realized that in the plastic design principle it was necessary to deal with alternating loading conditions and successfully processed. The early mathematical programming methods used for optimal structural design take the form of linear programming because they are expressed formulaically within the scope of the simplified plastic failure design principle.