A Form-Finding Method for Slack Cable Nets Based on Catenary Elements

Abstract

The invention provides a form-finding method for a relaxed cable network based on a catenary unit, the main steps of which include: selecting material parameters D, geometric parameters S, topology, and boundary node positions Pfix of the cable network; setting free nodes in the middle of the cable network The initial position Pfree of the initial position Pfree; establish a catenary slack cable network model under the action of gravity; calculate the shape and node force of each cable segment in the cable network system; analyze the resultant force of each node in the cable network; judge whether the resultant force of any node satisfies If the requirements are satisfied, output the result; if not, continue to set the initial position Pfree of the free node in the middle of the cable network; finally output the balance position of the free node in the middle of the cable network. The present invention utilizes the nonlinear finite element method to realize the form-finding analysis of the cable net in the relaxed state, and the result is consistent with the force density method; and obtains the stiffness information of any configuration of the relaxed cable net, which can further analyze its dynamic performance or compare with other Combined modeling of finite elements (rods, beams, plates, shells, etc.) for dynamic analysis of complex structures.

Description

technical field [0001] The invention belongs to the technical field of cable net form-finding, in particular to a form-finding method for a relaxed cable net based on a catenary unit. Background technique [0002] Cable-net systems are used as supporting structures in many fields, such as roofs of large lightweight buildings, bridges, fishing nets and deployable antennas with mesh reflectors, and the design process plays a vital role. However, in the cable-net system, the cable is a flexible structure with the characteristics of large displacement, small strain, and highly nonlinear geometry, and its initial configuration is not clear. Net form-finding problem. [0003] In the past, linear rod elements were mostly used for cable-net modeling and form-finding analysis. For tensioned cable-net systems, there are relatively mature methods for initial form-finding analysis, such as nonlinear finite element method and dynamic relaxation method. and force density method, etc.; f...

AI Technical Summary

Problems solved by technology

[0004] At present, there is a form-finding method for a relaxed cable network that uses a catenary element described by a vector and a force density method, but it cannot obtain information such as the mass matrix and stiffness matrix of the cable network.

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