摘要:从2008年北京奥运会主场馆鸟巢开始，国内出现了一批弯扭斜交网格结构造型的建筑，其中最具代表的是北鸟巢南春茧和北京凤凰国际中心。弯扭斜交网格结构以其优美而独特造型深受建筑师青睐。本文将几何学理论联系工程实际，给出了两种用于弯扭斜交网格结构参数化设计的几何方法。其一，用微分几何方法对弯扭斜交网格结构几何形体进行分析，给出其表面所在曲面参数方程的分析表达。其二，用运动学的观点，通过活动标架、扫掠及放样等造型方法，利用计算机辅助图形学方法得到弯扭斜交网格结构几何模型。两种方法的有效性通过2022年杭州亚运会乒乓球馆设计实践得到了验证。

Abstract: Starting from the Bird′s Nest, the main venue of the 2008 Beijing Olympic Games, several twisted, skewed, and twisted grid-shaped buildings have appeared in China. Among them the most representative are the North Bird′s Nest Nanchun Cocoon and the Beijing Phoenix International Center. The twisted and skewed grid structure is favored by architects for its beautiful and unique shape. In this paper, the geometric theory is combined with actual engineering, and two geometric methods for parametric design of bending-torsion-skew grid structure are proposed. First, the geometric geometry of the curved and twisted grid structure is analyzed by differential geometry methods, and the analytical expression of the surface parametric equation is given. Second, from the perspective of kinematics, through the geometrical methods such as movable frame, sweeping and lofting, and using computer-aided graphics methods to obtain the geometric model of the twisted and skewed grid structure. The effectiveness of the two methods has been verified in the engineering practice of the table tennis hall of Hangzhou Asian games.