建筑结构学报2018，Vol.39Issue(3)：26-31,6.DOI:10.14006/j.jzjgxb.2018.03.004
基于连续体结构拓扑优化的树状结构拓扑创构
Morphogenesis of dendriforms based on continuum structural topology optimization
摘要
Abstract
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.关键词
树状结构/连续体结构拓扑优化/ICM方法/拓扑形态Key words
dendriforms/continuum structural topology optimization/ICM method/topology configuration分类
建筑与水利引用本文复制引用
彭细荣..基于连续体结构拓扑优化的树状结构拓扑创构[J].建筑结构学报,2018,39(3):26-31,6.基金项目
国家自然科学基金项目(11672103),湖南省自然科学基金项目(2016JJ6016). （11672103）
