同济大学学报（自然科学版）2017，Vol.45Issue(6)：791-798,813,9.DOI:10.11908/j.issn.0253-374x.2017.06.001
既有空间结构位形推算的随机偏差方法
Stochastic Deviation Method of Reckoning Geometric Shapes of Existing Spatial Structures
摘要
Abstract
According to the uncertainty and the inherent randomness of un-measured nodal positions,a stochastic deviation method (SDM) was proposed to reckon the geometric shapes of existing spatial structures.In a consideration of the characteristics of spatial structures,the sampling principle and the minimum sample size calculation approach in SDM were given.Based on the probability and the statistics theory,the procedure for inferring the random fields of nodal position deviations was built.In addition,the prior information concept was introduced into SDM,and approaches for inferring the stochastic parameters with prior information were put forward based on the Bayesian statistics theory.Finally,the proposed SDM was adopted to reckon the geometric shape of reticulated shell structures,and the nonlinear static stability analysis was carried out using SDM-determined structural spatial positions.It is shown that SDM can give realistic results and be used for the appraisal of existing spatial structures.关键词
空间结构/位形推算/随机偏差/分布推断/先验信息Key words
spatial structures/geometric reckoning/stochastic deviation/distribution inference/prior information分类
建筑与水利引用本文复制引用
罗永峰,刘俊..既有空间结构位形推算的随机偏差方法[J].同济大学学报（自然科学版）,2017,45(6):791-798,813,9.基金项目
国家自然科学基金(51678431) （51678431）
