Design method for shape control structure of cable network with positive Gaussian curvature based on initial reference state

Abstract

The invention discloses an active shape control structure for a cable network with a positive Gaussian curvature. During the active replacement work, a total strain epsilon a of a surface cable is equal to the sum of an initial strain epsilon 0 in an initial reference state and an active replacement strain epsilon d during the work, namely, epsilon a=epsilon 0+epsilon d. Because the active replacement work can be normally carried out in the shape control structure of the cable network within a certain allowable temperature difference range, the active replacement strain epsilon d comprises a stress-strain increment delta epsilon e and a temperature strain epsilon T, namely, epsilon d=delta epsilon e+epsilon T. As a result, during the active replacement work, a total stress-strain of the surface cable epsilon e=epsilon 0+delta epsilon e=epsilon 0+epsilon d-epsilon T. During the replacement between the reference condition and some operating condition, the active replacement strain of the surface cable epsilon d is a fixed value unrelated to the load, the specification and the elasticity modulus of the surface cable and the like. According to the invention, an optimization design method based on the initial reference condition is provided, and can rapidly optimize the initial pretension of an inhaul cable in the initial reference state, determine the specification of the inhaul cable and meet the performance requirement in the operating condition of the active replacement.

Description

technical field [0001] The invention belongs to the field of design and analysis of cable structures in engineering such as civil engineering, instrumentation and machinery, and relates to an optimal design method based on an initial reference state for an active shape control structure using a positive Gaussian curvature cable network. Background technique [0002] Cables generally only have tensile stiffness, not compressive and bending stiffness. Therefore, the cable network structure composed of cables needs to introduce initial pretension through tensioning, etc., and reserve sufficient pretension stress in advance to ensure working use. The middle cable is always under tension. Therefore, determining the initial pretension of the cables is one of the important contents in the design of cable-net structures. [0003] A surface cable net with positive Gaussian curvature cannot form a pretensioned self-balancing structure. After the radial cables are arranged outside th...

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Problems solved by technology

[0015] Therefore, by analyzing the difference in configuration and temperature between the reference state and the working state in advance, and grasping the strain caused by active displacement and temperature change, the shape-controlled structure design of the cable network can be carried out based on the initial reference state (single working condition), while There is no need for repeated analysis of the working state (multiple working conditions), which obviously improves the design efficiency of the cable net shape control structure, but increases the difficulty of analyzing the initial reference state

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