建筑自由曲面三角形划分单元优化研究

STUDY ON OPTIMIZATION OF TRIANGULAR UNIT IN ARCHITECTURAL SCULPTURED SURFACE

科技和社会的进步带来人类审美观念的转变,自由曲面形态逐渐被运用在建筑造型中。然而在实际建造中,自由曲面建筑会出现施工难度大、建造周期长、建造成本高和效果不理想等问题。本文以自由曲面为研究对象,基于拓扑几何理论,采用参数化设计方法以平面几何单元为核心,将复杂的自由曲面划分成简单的三角形单元,并进一步对划分单元进行优化,使其规格尺寸更加统一,减少单元种类。本文通过对优化前后划分单元尺寸数据分析和实体模型搭建,验证优化策略的可行性和适用性。

The advancements in science/technology and society have brought a change in the aesthetic concept of human beings, leading in the application of sculptured surface in a gradual way in the architectural modeling. However, in the actual construction, sculptured surface has issues like large difficulty of implementation, long cycle of construction, high construction cost, and unsatisfactory effect etc. This paper, taking the sculptured surface as the research object, the theory of geometry topology as the basis, and the planimetry units as the core, adopts the parametric design method to divide the complex sculptured surface into simple triangular units, and further optimize the divided units, in order to make their sizes more uniform, thus reducing the unit types. Through analyzing the unit size data before and after the optimization as well as the entity model construction, it verifies the feasibility and applicability of such optimization strategies.