Design of optimum grillages using layout optimization

Design of optimum grillages using layout optimization
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使用布局优化设计最佳格栅

DOI:
10.1007/s00158-018-1930-6
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发表时间:
2018
影响因子:
3.9
通讯作者:
Bolbotowski K
Bolbotowski K
中科院分区:
工程技术2区
文献类型:
--
作者:
Bolbotowski K

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格栅常被用来构成桥面和其他建筑。然而,经过20世纪70年代一段时间的密集研究,近年来对村落布局优化的关注相对较少。在这篇贡献中,提出了一种新的数值程序,它利用了先前为桁架布局优化问题开发的自适应求解方案,使非常大规模的问题能够求解。所提出的数值过程的一个关键优点是它是完全通用的,因此可以应用于具有任意载荷和边界条件的问题。此外,与先前提出的一些程序不同,单个梁的大小可以很容易地识别出来。为了证明该数值方法的有效性,将其应用于一系列传统方法无法解决的栅格布局设计问题,包括荷载相关问题。结果表明,该方法能够真实地捕捉到“梁织”等重要现象,并提供了新的高精度数值基准解。
Grillages are often used to form bridge decks and other constructions. However, following a period of intensive research activity in the 1970s, comparatively little attention has been paid to optimizing the layout of grillages in recent years. In this contribution a new numerical procedure is proposed which takes advantage of the adaptive solution scheme previously developed for truss layout optimization problems, enabling very large scale problems to be solved. A key benefit of the proposed numerical procedure is that it is completely general, and can therefore be applied to problems with arbitrary loading and boundary conditions. Also, unlike some previously proposed procedures, the sizes of individual beams can readily be discerned. To demonstrate its efficacy the numerical procedure is applied to a range of grillage layout design problems, including load dependent problems which could not be solved using traditional methods. It is shown that important phenomena such as “beam-weaves” can be faithfully captured and new high-precision numerical benchmark solutions are provided.
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