Материал: Russian Journal of Building Construction and Architecture

model, the geometric, material properties and load condition of components were inputted using the algorithm described in Fig. 2. Due to the complexity of the suspen dome structure, results for a three dimensional FEM analysis are considered to be more comprehensive and reliable than results of empirical formula.

Start

Create a model

Inputting material constants

Structural discretization

Inputting boundary conditions

Solution of simultaneous equations

Computation and graphic display

End

Fig. 2. Flowchart for the analysis

Comparison of Structural Types

The material type proposed by the author is compared with the prototype-Beijing Olympic suspen dome by (Zhang et al, 2007) in terms of internal forces, displacement and frequency.

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Static analysis

Due to the symmetrical nature of the dome structure, nodes and elements can be represented by one typical node or element. Fig 3 illustrates the nodes and elements of the dome, Fig 4 illustrates the nodal displacement for the nodes as stated in fig 3 for the suspen dome. The nodal displacement of the CFRP tensegrity are much lower than the steel tensegrity system which implies that the CFRP tensegric system of the suspen dome is more effective than the steel tensegric results obtained by (Zhang et al, 2007), it can be observed that the outer position of the nodes had smaller nodal displacement, the farther the nodes are away from the mid rib, the larger is the displacement.

Fig. 3. Numbering of nodes

Fig. 4. Comparison of nodal displacement

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Fig. 5. Comparison of Internal force of radical members

Fig 5 illustrates the internal forces in the radical members for the two dome structures which are similar; it implies that CFRP tensegric system has little effect on the internal forces generated in the radical members. In addition, it was observed that the internal force was at its largest at the outermost ring and lowest at the centre.

Furthermore, Table 4 illustrates the result obtained from the computation and comparison of the interior force in the loop truss. It was observed that there was a slight decrease in CFRP cables comparedtosteel cables by (Zhang et al, 2007) which shows thereductionof interior forces.

.

Modal analysis

The natural frequencies for the first mode carried out through modal analyses are shown in Table 5. The frequency of the structure predicts the ability of the structure to avoid collapses caused by earthquake and wind storm.

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From table 5 it can be observed that the frequency of CFRP tensegrity system is much lower than that of steel with a percentage difference of 23.8% which presents a better resistance capacity.

Conclusion

In this study, a finite element model of Beijing gymnasium suspen dome was established. Analyses were carried out to investigate the behavior of carbon fibre reinforced polymer (CFRP) cable as a constitute material. From the comparison, the following conclusions are drawn:

1)The application of CFRP by the authors is practical based on the satisfactory results obtained from the numerical analysis.

2)The concept for the application of CFRP cable is to strengthen the dome; this was proven with CFRP cables having lower nodal displacement than that of steel cables which implies that CFRP has more stiffness capability.

3)The frequency result proves that CFRP tensegrity system would successfully overcome fatigue and other harmful effect of forced vibration such as earthquake and wind storms over steel cables.

Thus, the application of CFRP cables demonstrates an outstanding performance and the results show an efficient design.

References

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