体内张拉成形空间网格结构径向迭代找形算法
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国家自然科学基金重大研究计划重点项目(9075034)


Displacementiteration Formfinding Arithmetic in R Coordinates of ISFSL
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    摘要:

    针对体内张拉成形空间网格结构工程应用需要,在几何位移迭代法的基础上提出了一种仅对跨度方向,即径向坐标迭代计算的简易结构找形方法—径向迭代找形算法,并通过一个80 m跨的体内张拉成形空间网格结构实例,对其找形过程特点做了细致的对比分析,结果表明该法找形速度快、迭代计算简单,经过6次迭代,坐标误差的最大绝对值仅为ΔR=7.03E-04 m、Δθ=6.7E-0o、ΔZ=0.04 m,通常情况下完全可以满足实际施工要求,而且可以确保结构成形分析和受荷分析的连续性和完整性,非常适合于体内张拉成形空间网

    Abstract:

    In order to put the Internal Stretch Forming Space Lattice Structure (ISFSL) into practice, based on the Geometrical Displacementiterative Method, the Displacementiteration Formfinding Arithmetic in R Coordinates is proposed,in which only the displacementiteration is exerted on span coordinates of ISFSL. A detailed study on the formfinding process is carried out, which is based on an ISFSL with a long span of 80m. The result shows that this arithmetic is very simple with great efficiency and working speed. When the sixth iteration is accomplished, the maximal absolute value of error of coordinates is only as follows: ΔR=7.03E-04m, Δθ=6.7E-0°, ΔZ=.04 E-0m,which is satisfied to the engineeringoriented need. The arithmetic also ensures the continuum and integrality of the structural forming and loading analysis, and is quite fit to the formfinding study of ISFSL. 

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王成,张毅刚.体内张拉成形空间网格结构径向迭代找形算法[J].土木与环境工程学报(中英文),2009,31(2):45-50. WANG Cheng,ZHANG Yigang. Displacementiteration Formfinding Arithmetic in R Coordinates of ISFSL[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2009,31(2):45-50.10.11835/j. issn.1674-4764.2009.02.010

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