【摘要】 本文给出了膜结构曲面模拟的两种方法,通过对找形得到的散乱节点进行分片插值,可得到整体C0连续和C1连续的光滑曲面,适用于任意多边形区域.两种插值方法均能给出膜曲面的满意表现.C1插值曲面的误差远小于C0插值曲面.对两种插值方法,模拟曲面的误差均随着初始网格尺度与平面总尺寸的比值减小而下降,在初始网格尺度与平面总尺寸的比值小于1/8之后,拟合曲面的精度变化随该比值的下降变化值逐渐不明显.更多还原

【Abstract】 Two simulating procedures for discrete membrane structures were introduced. By piecewise interpolating of the discrete surface resulted from form finding procedures, continuous smooth curved surfaces were obtained. Samples showed that though both of the simulating processes led to satisfying presentation of curved membrane surfaces, discrepancies of the simulated surfaces from the standard coordinates of the C~1 surfaces were much less than that of the C~0 surfaces. Discrepancies decreased with the reduce of the grid/span ratio, while as the ratio was less than 1/8 , the discrepancies gradually diminished.更多还原