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Stochastic Deviation Method of Calculating Nodal Positions of Existing Spatial Structures

JUN LIU, YONGFENG LUO

Abstract


According to the uncertainty and the inherent randomness of nodal positions of existing spatial structures, a stochastic deviation method (SDM) was proposed to calculate the nodal positions and to reckon the geometric shapes. Taking into account the random characteristics of spatial structures, sampling principles and an approach to calculating minimum sample size in the SDM were given. Deriving from probability and statistics theory, the procedure for inferring the probabilistic distributions of the nodal position deviations were proposed. The proposed SDM was adopted to reckon the geometric shape of a reticulated shell structure, and the nonlinear static stability analysis were carried out using the structural spatial position determined by the SDM. It was shown that the SDM can give more realistic results and can be used for the assessment of existing spatial structures.


DOI
10.12783/shm2017/14217

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