多种荷载工况下的自由曲面结构形态创建

Construction of free-form surface under various loading conditions

自由曲面结构的形态创建通常只考虑重力荷载,实际工程中结构所受荷载工况较复杂。为了研究不同荷载工况对自由曲面创建的影响。分别考虑重力荷载、风荷载以及2种荷载同时作用这3种荷载工况,采用非均匀有理B样条(NURBS)生成自由曲面,以应变能最小作为优化目标进行自由曲面的形态创建。对比分析3种荷载工况下的自由曲面形态创建结果可知:不同荷载工况下的自由曲面形态创建结果存在较大的差异;若只考虑重力荷载进行形态创建,实际结构在承受多种荷载工况时,其最大位移与应力会偏大。

In the existing literature,the form of the free form surface is usually considered only by gravity load,the actual conditions of the free form surface under loads are complex. In this paper,the non-uniform rational B-splines（ NURBS） are used to generate free-form surfaces created with the minimum strain energy as the optimization target,under gravity load,wind load and load simultaneously. The results show that there are big differences in the results of the free-form surface creation under different load conditions. If only gravity load is taken into consideration,the maximum displacement and stress of generated surface will be too large when under various loads.