期刊论文

Morphogenesis of dendriforms based on continuum structural topology optimization

Peng, Xirong(pxr568@163.com)

中文

建筑结构学报

1000-6869

2018

39

3

26-31

10.14006/j.jzjgxb.2018.03.004

国家自然科学基金项目（11672103） 湖南省自然科学基金项目（2016JJ6016）

本校为第一且通讯机构

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。

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 reser...