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首页> 外文会议>International Conference on Computer Aided Optimum Design in Engineering; 2007; Myrtle Beach,SC(US) >Block aggregation of stress constraints in topology optimization of structures
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Block aggregation of stress constraints in topology optimization of structures

机译：结构拓扑优化中应力约束的块聚合

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摘要

Topology optimization of continuum structures is a relatively new branch of the structural optimization field. Since the basic principles were first proposed by Bends0e and Kikuchi in 1988, most of the work has been devoted to the so-called maximum stiffness (or minimum compliance) formulations. However, for the past few years a growing effort is being invested in the possibility of stating and solving these kinds of problems in terms of minimum weight with stress (and/or displacement) constraints formulations because some major drawbacks of the maximum stiffness statements can be avoided. Unfortunately, this also gives rise to more complex mathematical programming problems, since a large number of highly non-linear (local) constraints at the element level must be taken into account. In an attempt to reduce the computational requirements of these problems, the use of a single so-called global constraint has been proposed. In this paper, we create a suitable class of global type constraints by grouping the elements into blocks. Then, the local constraints corresponding to all the elements within each block are combined to produce a single aggregated constraint that limits the maximum stress within all the elements in the block. Thus, the number of constraints can be drastically reduced. Finally, we compare the results obtained by our block aggregation technique with the usual global constraint formulation in several application examples.
机译：连续体结构的拓扑优化是结构优化领域中一个相对较新的分支。自1988年Bends0e和Kikuchi首次提出基本原理以来，大多数工作都致力于所谓的最大刚度（或最小顺应性）公式。但是，在过去的几年中，人们投入了越来越多的精力来研究和解决这类问题，这些问题包括用最小应力（和/或位移）约束公式来表示，因为最大刚度声明的某些主要缺点可能是避免。不幸的是，这也引起了更复杂的数学编程问题，因为必须考虑元素级别的大量高度非线性（局部）约束。为了减少这些问题的计算要求，已经提出使用单个所谓的全局约束。在本文中，我们通过将元素分组为块来创建合适的全局类型约束类。然后，将与每个块中所有元素相对应的局部约束组合在一起，以生成单个聚合约束，该约束限制了块中所有元素内的最大应力。因此，可以极大地减少约束的数量。最后，我们在几个应用示例中将通过块聚合技术获得的结果与通常的全局约束公式进行了比较。

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