拟n维离散变量网格迭代优化方法

Network iterative optimization of virtual n-dimensional discrete variables

在研究离散变量型的优化设计的基础上,建立了离散变量虚实网格结点集;提出了拟3维空间和拟n维空间概念;导出了可计算结点的计算公式;导出了拟n维空间离散变量网格迭代优化方法.解决了在一般工程结构设计实践中,多采用连续变量优化设计加圆整的办法得到近似的离散型结果.然而对高精度要求的工程结构,该方法的计算结果往往与实际相差较大.通过钻井用大型车装井架的实例计算表明,所提出的方法简单易施、可靠性高、收敛快.

The members of the engineering structures were usually section steel, so the rational optimal design of the structure should be that of discrete parameters. Since this type of design is more complex than that with the continuous variables, it is most likely solved by using the optimal design with the continuous variables plus the roundness, n approximate discrete result was obtained. However, for the engineering structure with high precision requirements, the result differed from that de- sired in practical problems. For this reason, and based on the study of the optimal design of discrete variables, this author of this paper established a false and true net node set for the discrete variables, the concepts of the virtual 3-D and n-D spaces were given, derived formulae for the computable nodes, and a network iterative optimization method was proposed for the virtual n-D discrete variables. Through the example calculation of the large-size vehicular derrick for well-drilling, it indicated that the method presented in this paper was simple, reliable and converging fast.