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基于连续体结构拓扑优化的树状结构拓扑创构

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成果类型:
期刊论文
论文标题(英文):
Morphogenesis of dendriforms based on continuum structural topology optimization
作者:
彭细荣
通讯作者:
Peng, Xirong(pxr568@163.com)
作者机构:
[彭细荣] Civil Engineering College, Hunan City University, Yiyang, 413000, China
语种:
中文
关键词:
树状结构;连续体结构拓扑优化;ICM方法;拓扑形态
期刊:
建筑结构学报
期刊(英文):
Jianzhu Jiegou Xuebao/Journal of Building Structures
ISSN:
1000-6869
年:
2018
卷:
39
期:
3
页码:
26-31
文献类别:
EI:Journal article (JA)
入藏号:
EI:20182505342083
机构署名:
本校为第一机构
院系归属:
土木工程学院
摘要:
针对概念设计阶段树状结构拓扑创构问题,提出了连续体结构拓扑优化方法。应用连续体结构拓扑优化法,建立体积约束下结构总应变能极小化(即结构总体刚度极大化)的拓扑优化模型,依据单约束优化问题的鞍点条件建立了优化迭代格式。研究了体积比、屋面结构刚度、屋面结构几何形式、设计空间高度等对树状结构拓扑形态的影响,并给出了具体应用算例。结果表明:随着材料用量的增加,树状结构拓扑随之复杂;随着屋面刚度的增加,树状结构分枝趋向于减少;不同的屋面结构几何形式会导致不同的树状结构拓扑形态;满足一定高度后,树状结构分枝形态不会受高度影响,仅是增加主树杆高度。
摘要(英文):
A continuum structural topology optimization method was proposed for morphogenesis of dendriforms during the conceptual design phase. A topology optimization model minimizing structural strain energy (i.e., maximizing global stiffness) under a structural volume constraint was established by an independent continuous mapping method (ICM). This optimization model can be solved by an iteration formula established based on the saddle condition for a single constraint optimization problem. The influences of several factors such as the ratio of reserved volume to total volume, the stiffness of roof structure, the geometry shape of roof structure, and the height of design area, on topologies of the dendriform were discussed, and several illustrative design examples were given. The results show that: the topology configurations of dendriforms become more complex with an increase in the amount of materials;the branches of dendriforms decrease with an increase in the roof stiffness;different topology configurations of dendriforms are obtained by different geometric forms of the roof structures;the topology configurations of dendriforms are not affected by the height of the design area beyond a certain height, although the main branch of dendriforms can be increased.<br/> &copy;2018, Editorial Office of Journal of Building Structures. All right reserved.

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