A nonlinear cable element analysis method and system

A unit analysis and nonlinear technology, applied in instruments, complex mathematical operations, informatics, etc., can solve the problems that high-order cable units are difficult to apply for detailed analysis and calculation, cannot be directly applied to compiled programming languages, and have low computational efficiency. The effect of fast calculation speed, clear physical concept and small calculation amount

Inactive Publication Date: 2019-05-24
WUHAN UNIV OF TECH
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  • Application Information

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Problems solved by technology

Therefore, all the components in multiple stiffness matrices need to be solved by symbolic integrals, which requires a lot of calculation, takes a long time, and the calculation efficiency is very low
[0007] (3) The current high-order cable unit can only be applied to very few interpreted programming languages ​​with symbolic integration functions, such as Matlab, etc., and cannot be directly applied to high-efficiency compiled programming languages ​​such as Fortran, etc.
For large complex cable structures, there are a large number of cable units, and there will be a large number of symbolic integral operations in the analysis and calculation process, which will result in a huge amount of calculation and a long time-consuming
At the same time, in the process of dynamic calculation of the cable structure, there are many integration steps and corresponding sub-steps, and there are also huge symbolic integration problems
Therefore, the high-order cable element is difficult to apply to the detailed analysis and calculation of the actual complex suspension cable structure, and its practicability is poor

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  • A nonlinear cable element analysis method and system
  • A nonlinear cable element analysis method and system
  • A nonlinear cable element analysis method and system

Examples

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Embodiment example 1

[0179] This case 1 examines the static and dynamic effect analysis process and analysis and calculation results of a small-span suspension cable structure.

[0180] image 3 is a schematic diagram of a small-span suspension cable structure, the suspension cable span L is 8 meters, and the sag h is 0.16 meters. The ratio of mid-span sag to span is 2%. The elastic modulus E of the cable is 1.7×10 11 Pa, the cross-sectional area A of the suspension cable is 0.674m 2 , the self-weight load of the structure is a uniformly distributed load q 0 =0.2kN / m, the live load on the structure is q 1 =0.3kN / m, the initial horizontal tension of the cable structure under its own weight is H 0 =10kN, now calculate the stable geometry, internal force and dynamic characteristics of the suspension cable structure under the action of final load q=0.5kN / m. In the analysis and calculation, the number of degrees of freedom of different methods is guaranteed to be the same, and the midpoints of th...

Embodiment example 2

[0191] This case examines the static and dynamic effect analysis and results of a long-span suspension cable structure.

[0192] Figure 4 It is a schematic diagram of a long-span transmission line, the suspension cable has a span of 2300 meters and a sag of 220 meters. The mid-span sag to span ratio is 9.5%. The elastic modulus E of the cable is 1.08×10 11 Pa, the cross-sectional area A of the suspension cable is 0.002916m 2 , the self-weight load of the structure is a uniformly distributed load q 0 =131.88N / m, the live load on the structure is q 1 =100N / m, now calculate the deformation and dynamic characteristics of the transmission wire structure. In the analysis and calculation, the number of degrees of freedom of different methods is guaranteed to be the same, and the midpoints of the cables are all on the unit nodes. The total number of nodes of the suspension cable is 97, the rod element and the two-node method are divided into 96 elements, the three-node cable el...

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Abstract

The invention discloses a nonlinear cable element analysis method and system. The nonlinear cable element analysis method comprises the following steps that firstly, geometrical information including endpoint coordinates and the like of a suspended-cable structure is determined, and physical parameters and load parameters including elasticity modulus, self weight, external load and the like of the cable are determined. An explicitly expressed suspended-cable structure stiffness matrix and an equivalent nodal load are established by adopting stiffness matrixes, initial displacement stiffness matrixes and initial stress stiffness matrixes of two nodal nonlinear cable elements provided by the method. A nonlinear iterative algorithm and a convergence criterion of the suspended-cable structure are established, and the load reaction of the suspended cable is analyzed. The method has the advantages of being wide in application range, explicitly expressed in stiffness matrix, high in analytical precision, simple, quick and convenient to calculate and the like.

Description

technical field [0001] The invention relates to engineering structure safety monitoring technology, in particular to a nonlinear cable element analysis method and system. Background technique [0002] The suspension cable structure is a structural system formed by a cable that can only be tensioned as the basic load-bearing member. As a typical long-span soft structure, suspension cables are widely used in bridges, space structures and transmission lines. Suspension cable structure has a long history as a load-bearing structure, which can be traced back to its application in bridge structure. More than a thousand years ago, there was a textual research on the construction of suspension bridges with bamboo cables, rattan cables and iron chains in our country. In the 16th century, the calculation method of suspension cables first appeared in Europe. At the beginning of the 20th century, steel smelting technology developed rapidly, and modern large-span suspension cable struc...

Claims

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Application Information

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Patent Type & AuthorityPatents(China)
IPC IPC(8): G06F17/16
CPCG16Z99/00
Inventor陈波肖祥李冬明
OwnerWUHAN UNIV OF TECH