THE METHOD OF SOLVING UNSTABLE EQUILIBRIUM STATES OF CABLE-NET STRUCTURES

Zhao Junzhao; Chen Wujun; Fu Gongyi; Li Ruixiong

doi:10.13204/j.gyjz201111024

Volume 41 Issue 11

Dec. 2014

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Zhao Junzhao, Chen Wujun, Fu Gongyi, Li Ruixiong. THE METHOD OF SOLVING UNSTABLE EQUILIBRIUM STATES OF CABLE-NET STRUCTURES[J]. INDUSTRIAL CONSTRUCTION, 2011, 41(11): 110-115. doi: 10.13204/j.gyjz201111024

Citation:

Zhao Junzhao, Chen Wujun, Fu Gongyi, Li Ruixiong. THE METHOD OF SOLVING UNSTABLE EQUILIBRIUM STATES OF CABLE-NET STRUCTURES[J]. INDUSTRIAL CONSTRUCTION, 2011, 41(11): 110-115. doi: 10.13204/j.gyjz201111024

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THE METHOD OF SOLVING UNSTABLE EQUILIBRIUM STATES OF CABLE-NET STRUCTURES

doi: 10.13204/j.gyjz201111024

1.
Space Structures Research Centre,Shanghai Jiaotong University,Shanghai 200030,China

Received Date: 2011-04-20
Publish Date: 2011-11-20

Abstract

Abstract

The tension forming process of cable-net structures in construction is the process of solving unstable equilibriums,in which the mechanism and elastic deformation are coupled.On the basis of unstressed cable length,an analytical parabolic cable element is used to consider the elastic tension and deformation.The unbalanced nodal force vector is evaluated by using the equilibrium matrix theory of the pin joint system,which avoids solving the singular stiffness matrix of a mechanism.The dynamical relaxation method is used to solve the nonlinear equation by making the coupling problem decoupled.Numerical examples indicate that the proposed algorithm is capable of solving the unstable equilibrium and simulating the tension forming process in construction by changing the unstressed length of active cables.When there is no load or the load is small,the analytical results of employing parabolic elements and link elements are significantly different,which shows the fidelity of parabolic cable elements.
- cable-net,
- dynamic relaxation,
- unstable equilibrium,
- parabolic cable element

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References(14)

References

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