Finite element shape finding analysis method for cable structure

Abstract

The invention relates to a finite element shape finding analysis method for a cable structure, and the method comprises the following steps: building a broken-line-shaped finite element model of a cable structure, applying a concentrated load to a broken point of the finite element model, and solving an initial balance state solution of the cable structure under prestress and the concentrated load; under the initial balance state solution, continuously superposing the dead weight and / or the external load, and solving a working state solution obtained after superposing the dead weight and / or the external load on the cable structure; and eliminating the concentrated load, solving a final state solution, and determining the cable structure form. According to the method, broken line modeling is adopted, the modeling of the cable structure can be more convenient, and the initial balance state solution under the action of the concentrated load is obtained based on the finite element model ofthe broken line, so that the initial balance state solution of the cable structure can be more efficiently, simply and conveniently solved, the initial balance solution obtained through solving is transited to the working state solution, and the structural deformation under the dead weight and / or the external load can be more conveniently calculated.

Description

Technical field [0001] The present invention relates to the technical field of cable structure form-finding, and more specifically, to a cable structure finite element form-finding analysis method. Background technique [0002] Cables or cable nets play a very important role in structural engineering, such as cableway, suspension cable structure, cable-stayed structure, cable dome structure, cable truss structure, etc. As a large-deformation flexible structure, the force analysis of the cable is a geometric nonlinear problem. When no tension is applied, the cable has no rigidity. The cable shape is a geometrically variable system, and its initial geometry is related to the prestress distribution. Therefore, the core problem of cable net analysis is form-finding analysis. At present, the commonly used form-finding analysis methods include the force density method, the dynamic relaxation method, the nodal balance method and the support lifting method based on finite element analys...

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Problems solved by technology

[0003] The above-mentioned methods either have complicated construction of the original model of the cable network; or the steps are cumbersome, the calculation amount is large, and the calculation time is long; or there are problems such as numerical convergence and insufficient calculation accuracy; and all of them require repeated iterative calculations, which is not conducive to the promotion of engineering applications

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