Surface adjustment method for cable net structures considering measurement uncertainties

In the process of surface precision adjustment of cable net structures, the establishing variable configuration of cable net structures is the basis and precondition for implementation of surface adjustment. Due to the limitation of measurement errors and uncertainties, the measured information including node location, boundary conditions and cable tensions is uncertain. In this paper, the uncertain variables are considered as the interval values, and the interval force density method is proposed to calculate the root mean square error of uncertain cable net structures. Then, the optimization model is established to find the optimal adjustment amount of adjustable cables for the higher surface accuracy. The advance and retreat algorithm is introduced to solve the optimization model. Finally, a numerical example is presented to demonstrate the feasibility and validity of the proposed surface adjustment method.