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针对索长误差会造成膜结构的初始形态产生误差这一问题,基于非线性有限元法,通过对索施加温度作用模拟索长的制作误差,研究了索长制作误差对鞍形膜结构初始形态的影响特性和影响敏感度,其中初始形态包括初始几何形状、膜面初始预应力、索初始预拉力及初始支座反力.并进一步分析了结构参数,如跨度、高跨比、索膜预张力密度比对研究结果的影响.分析得到如下结论:索偏短时,索长误差对初始几何形状、初始膜面应力、初始索力及初始支座反力的影响均成线性关系,也就是影响敏感度为1;索偏长相对较小时,结构各项初始误差仍与索长误差呈线性关系,而索偏长相对较大时,索长误差对结构初始形态的影响表现出了非线性.当结构取不同跨度、矢跨比和索膜预张力比时,仍具有上述规律.本文结论可以为进一步完善膜结构技术规程中的相关规定提供基础材料和依据.
In view of the problem that the error of the length of the rope leads to the error of the initial shape of the membrane structure, based on the nonlinear finite element method, the production error of the length of the saddle-shaped membrane Including the initial geometry, the initial prestress of the membrane surface, the initial prestressing force of the cable and the initial bearing reaction force, and further analyzes the structural parameters such as span, high-span ratio, cable pre-membrane Tension density ratio on the results of the study.The conclusions obtained are as follows: When the cable length is short, the error of the cable length has a linear relationship with the initial geometrical shape, the initial membrane surface stress, the initial cable force and the initial bearing reaction force The influence sensitivity is 1; when the cable length is relatively small, the initial error of the structure is still linear with the length of the cable, while the length of the cable length is relatively large, the influence of cable length error on the initial structure of the structure shows a nonlinear When the structure takes different span, span-to-span ratio and membrane pre-tension ratio, the above rules still exist.The conclusion of this paper can provide the basis for further improvement of the relevant provisions in the technical regulation of membrane structure And material basis.