【摘要】 为了探讨张弦桁架矢高、垂度与最小结构质量的相互关系,确定出不同跨度的最优矢高、垂度,采用Fibonacci搜索法编写了以矢高、垂度为变量的张弦桁架形状优化程序。在编写Fibonacci搜索法程序中引入了动态搜索区,以有效提高搜索效率和保证精度要求。分别对不同跨度的张弦桁架矢高、垂度进行分析。结果表明:最优矢高、垂度都随着跨度的增加而几乎呈线性增加;不同跨度下的矢高、垂度与最小结构质量的关系曲线大致呈抛物线形状;当垂跨比为0.07时,各跨度的最优矢跨比出现在0.132～0.159之间;当矢跨比在0.14左右时,各跨度的最优垂跨比出现在0.07左右;最优的矢跨比与垂跨比之和为0.22,此时结构的质量最小。更多还原

【Abstract】 In order to study the relations among rise,sag,and the minimum structure weight of truss string structure,and to find the optimum rise and sag for different spans,the optimization program of truss string structure had been written in terms of rise and sag by using Fibonacci search method.The dynamic search range was introduced to improve the efficiency and guarantee the precision.Shape parameters of rise and sag for different spans of truss string structure were analyzed.Results indicate that the optimum rise and sag almost linearly increase with span;these relation curves among rise,sag and minimum structure weight are parabola;the optimum rise-span ratio is between 0.132 and 0.159 when the sag-span ratio is 0.07;the optimum sag-span ratio is about 0.07 when the rise-span ratio is about 0.14;when the sum of the rise-span ratio and the sag-span ratio is 0.22,the structure weight is the least.更多还原