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本文在文献[1,2]提出的离散变量的结构优化设计的多阶段决策分析模型及解法的基础上,进一步讨论了平面刚架的结构优化设计问题;着重说明了指标函数矩阵的形成,状态变量集的设计等问题,为这一解法作了更为全面和系统的论述;在有位移约束的问题中同时引入了应力约束条件,讨论了多工况的处理,使此解法能毫无困难地应用到实际工程设计中:同时,编制了刚架结构优化的计算机程序,在微机上作出了有30根杆件的两跨六层刚架在四种工况下的计算例题。
In this paper, based on the multi-stage decision analysis model and the solution method of the structural optimization design of discrete variables proposed in [1,2], the structural optimization design problem of the planar rigid frame is further discussed. The formation and status of the index function matrix are emphatically explained. Problems such as the design of the variable set have made a more comprehensive and systematic discussion of this solution. At the same time, stress constraint conditions have been introduced in the problem of displacement constraints, and the handling of multiple operating conditions has been discussed so that this solution can be implemented without difficulty. Applied to the actual engineering design: At the same time, a computer program for the optimization of the rigid frame structure was prepared. On the microcomputer, a calculation example was made for the two-span, six-story rigid frame with 30 elements in four working conditions.