桁架设计计算

A. Yur'ev, V. Zin'kova, Ata El'-Karim Soliman
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引用次数: 2

摘要

在确定荷载类型、材料特性和指示尺寸时,桁架的结构和尺寸是设计计算的完成部分。受压杆位置未知时的平衡稳定性问题阻碍了桁架拓扑结构和几何结构的优化。本文提出的变分桁架综合方法是基于拉格朗日和卡斯蒂利亚诺变分原理的可能运算原理,并通过扩展几何参数的泛函空间进行推广。对给定体积的桁架材料的物理线性等周问题的求解允许建立其准等应力,这成为几何优化问题公式的设计准则。它的条件是对于给定的压缩杆的柔度,函数相对于可变几何参数的平稳性。由最初接受的纵向力的变化引起的反复过程是基于它们的直接调整和单个杆的柔韧性的变化。最优桁架的整体应变能最小值伴随着材料消耗的整体最小值。所提出的软件可以对桁架进行自动设计计算。考虑了一个机械桁架的设计实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
TRUSS DESIGN CALCULATION
the completeness of the truss design calculation is its configuration and dimensions when specifying the type of loading, material characteristics and directive dimensions. The problem of equilibrium stability with an unknown location of compressed rods hindered the optimization of the topology and geometry of the truss. The proposed variational method of truss synthesis is based on the principle of possible operation and generalization of the variational principles of Lagrange and Castigliano by expanding the functional space of geometric parameters. The solution of a physically linear isoperimetric problem for a given volume of the truss material allowed to establish its quasi-equal stress, which became the design criterion for the formulation of the geometry optimization problem. Its condition is the stationarity of the functional with respect to variable geometric parameters for a given flexibility of compressed rods. The iterative procedure, caused by a change in the initially accepted signs of longitudinal forces, is based both on their direct adjustment and on the change in the flexibility of individual rods. The global minimum of potential strain energy of the optimal truss is accompanied by a global minimum of material consumption. The proposed software allows to conduct automated design calculation of the truss. An example of designing a mechanical truss is considered.
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来源期刊
CiteScore
1.40
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