同济大学 土木工程学院， 上海 200092
通讯作者:罗永峰，男，教授，博士生导师，电话(Tel.):021-65980531；E-mail: yfluo93@tongji.edu.cn.作者简介:刘俊(1993-)，男，安徽省芜湖市人，博士生，主要研究方向为既有钢结构检测与鉴定.基金资助:国家自然科学基金资助项目(51678431)A Method of Reckoning Nodal Positions of Existing Grid ShellStructures Based on Surface Interpolation
LIU Jun,LUO Yongfeng,YANG XuCollege of Civil Engineering, Tongji University, Shanghai 200092, China
摘要/Abstract
摘要： 利用网壳结构的整体受力以及平面内刚度较大的特点，提出基于曲面插值的未测节点位置推算方法.通过对节点偏差的统计分析来判断结构的变形程度；基于回归分析理论，采用回归方程推算节点位置的水平坐标；基于数值计算理论，由已测量节点插值计算网壳曲面，进而推算出未测节点位置的竖向坐标；同时，采用实际网壳结构对基于曲面插值的未测节点位置推算方法进行验证.结果表明，基于曲面插值的未测节点位置推算方法比传统方法的计算结果更符合实际.
关键词: 既有网壳结构, 结构鉴定, 节点位置, 推算, 曲面插值
Abstract: A new method was proposed to reckon the nodal positions of an existing grid shell structure using surface interpolation, based on the structural characteristics of the high in-plane stiffness and overall capacity of load bearing. In the proposed method, the degree of structural deformation is estimated firstly by statistical analysis of nodal deviations. Then horizontal nodal coordinates are calculated by regression equations from statistic regression analysis theory. Lastly, vertical nodal coordinates can be determined by the structural shape and interpolation from the measured nodal positions according to surface interpolation theory. By applying the proposed method to the practical grid shell structures, it was concluded that the method can give realistic results and is effective for the assessment of existing structures.
Key words: existing grid shell structure, structural assessment, nodal position, reckoning, surface interpolation
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