OPTIMIZATION OF CALCULATION SCHEMES

I. Medved
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引用次数: 1

Abstract

Any calculation is preceded by the stage of creating a design diagram of a real structure, which would most accurately correspond to real operating conditions. The more optimally the design scheme is drawn up, the less laborious the stages of calculation and design of the corresponding structure will be. There are practically no results of using this approach when calculating building structures. This article attempts to show the possibility and expediency of using the "Search for solutions" (add-on for Microsoft Excel) at the stage of choosing the optimal parameters of the design design schemeAny calculation is preceded by the stage of creating a design diagram of a real structure, which would most closely correspond to real operating conditions. The more optimally the design scheme is drawn up, the less laborious the stages of calculation and design of the corresponding structure will be. If the efficiency criterion is a linear function, and the variables in the constraint system are also linear, then such a problem is a linear programming problem. Of the listed methods of mathematical programming, the most common and developed is linear programming. To illustrate the idea of the proposed approach, a simple statically definable truss on two supports was deliberately chosen. This is done so that the idea of the proposed approach is not lost due to the complexity and cumbersomeness of the calculations. This article shows the possibility and feasibility of using the "Search for solutions" at the stage of choosing the optimal parameters of the design design scheme. After the design scheme has been defined, more powerful conventional means of calculating building structures can be involved for its complete calculation.
计算方案的优化
在进行任何计算之前,都要先绘制实际结构的设计图,这样才能最准确地对应实际的操作条件。设计方案制定得越优,相应结构的计算和设计阶段就越省力。在计算建筑结构时,几乎没有使用这种方法的结果。本文试图展示在选择设计方案的最佳参数阶段使用“搜索解决方案”(Microsoft Excel的附加组件)的可能性和方便性。任何计算之前,都要先创建一个最接近实际运行条件的实际结构的设计图。设计方案制定得越优,相应结构的计算和设计阶段就越省力。如果效率准则是线性函数,且约束系统中的变量也是线性的,则该问题是线性规划问题。在列出的数学规划方法中,最常见和最发达的是线性规划。为了说明所提出的方法的思想,故意选择了一个简单的静态可定义桁架在两个支撑上。这样做是为了避免由于计算的复杂性和繁琐性而丢失所建议的方法的思想。本文论证了在设计方案的最优参数选择阶段采用“寻解法”的可能性和可行性。在确定设计方案后,可以使用更强大的常规建筑结构计算手段进行完整的计算。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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