摘要
根据膜结构曲面的多样性 ,提出了描述膜曲面的三次准均匀B样条曲面方程 .根据膜结构受力特点 ,结合其形与态建立总能量方程 ,通过数学规划求得曲面的控制点 。
A curved surface equation of quasi uniform B spline is proposed which can describe the multi configurations of the membrane structures. According to the behaviour of the membrane structures under loads and combining its configurations with distribution of prestressing force, the program can set up the equation of total energy quantity. Then the control points of curved surface are achieved through mathematical programming and the membrane curved surface that can have minimum energy can be obtained.
出处
《华中科技大学学报（城市科学版）》
CAS
2002年第3期1-3,共3页
Journal of Huazhong University of Science and Technology
关键词
能量优化
膜结构
初始形态
数学规划
energy optimization
membrane structures
initial form
mathematical programming
