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Advanced Steel Construction

Vol. 14, No. 2, pp. 679-688 (2018)


DYNAMIC STABILITY ANALYSIS OF BEAM STRING STRUCTURES UNDER EARTHQUAKE LOADS

 

Qinghua Han 1,*, Chenyin Ma 1, Jingyu Zhang 2

1Department of Civil Engineering, Tianjin University, Tianjin, 300072, China

2Department of Mechanical Engineering, Tianjin University of Technology, Tianjin, 300191, China

* (Corresponding author: Email: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. )

Received: 1 July 2005; Revised: 10 April 2007; Accepted: 18 April 2007

 

DOI:10.18057/IJASC.2007.3.3.4

 

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ABSTRACT

Beam String Structure (BSS) is composed of an upper structural member, lower strings and struts, which is a new type of long-span hybrid structure. The study on the static behavior is extensive. However, there is still a certain extent of blank in the field of dynamics, especially the dynamic stability. Owing to the limitation of the existing dynamic stability judgment criterion, most of which are based on Lyapunov dynamic stability theory and the highly nonlinear earthquake response of BSS, the nonlinear finite element analysis and time history method (THD) are adopted. THD is effective to the highly nonlinear structures. Based on the displacement time history curves and structural deformation, the critical load of dynamic stability was obtained. The dynamic stability of the plane BSS is analyzed under earthquake loads in respect of the number of struts, height-span ratio, sag-span ratio, moment of inertia, prestressing force of string and restraint type of supports. The results are compared with those of static stability. Some suggestions are put forward to selecting a proper structural model and analysis in project design.

 

KEYWORDS

Beam string structure; dynamic stability; earthquake loads; non-linear earthquake response; time history method; cable


REFERENCES

[1] Saitoh, M., “Role of String-aesthetics and Technology of the Beam String Structures”, Proceeding of the LSA98 Conference-Light Structure in Architecture Engineering and Construction, 1998, pp. 692-701.

[2] Huang, M.X., “Design and Construction of Long-span Beam String Structures” (in Chinese), Shandong Science and Technology Publishing Company, 2005, pp. 1-9.

[3] Saitoh, M. and Okada, A., “The Role of String in Hybrid String Structure”, Engineering Structures, 1999, Vol. 21, pp. 756-769.

[4] Zhang, Y.G. and Xue, S.D., “Long-span Space Structure” (in Chinese), Beijing Mechanical Industry Publishing Company, 2005, pp. 355-359.

[5] Chen, R.Y., Dong, S.L. and Sun, W.B., “Design and Analysis of a Long-span Prestressed Truss String Structure” (in Chinese), Spacial Structures, 2003, Vol. 9, No. 1, pp. 45-47.

[6] Shi, G.P., Chan, S.L. and Lu, Z.T., “Second-order Analysis and Design of Cables and Cable-frames”, International Journal of Structural Stability and Dynamics, 2005, Vol. 5, No. 4, pp. 521-537.

[7] Bai, Z.X., Liu, X.L. and Li, Y.S., “Influence Analysis of Factors of Beam String Structure” (in Chinese), Steel Structures, 2001, Vol.3, No. 16, pp. 42-46.

[8] Bai, Z.X. and Liu, X.L., “Mechanics and Programming of Beam String Structure” (in Chinese), Engineering Mechanics Supplement, 1998, pp. 157-162.

[9] Liu, K.G., “Analysis of Large-span Beam String Structure” (in Chinese), Spacial Structures, 2001, Vol. 7, No. 2, pp. 39-43.

[10] Shu, Z.Z. and Zhang, J.Y., “Stability of Movement” (in Chinese), China Railway Publishing Company, 2001, pp. 12-13.

[11] Goldhirsch, I., Sulem, P.L. and Orszag, S.A., “Stability and Lyapunov Stability of Dynamical Systems-a Differential Approach and a Numerical Method”, Physics, 1987, Vol. 27, pp. 311-337.

[12] Gilat, R. and Aboudi, J., “The Lyapunov Exponents as a Quantitative Criterion for the Dynamic Buckling of Composite Plates”, International Journal of Solids and Structures, 2002, Vol. 39, pp. 461-481.

[13] Bernal, D., “Instability of Buildings During Seismic Response”, Engineering Structures, 1998, Vol. 20, No. 4-6, pp. 496-502.

[14] Gui, G.Q. and Lin, Z.B., “Dynamic Stability of Single-layer Reticulated Spherical Domes” (in Chinese), Journal of Nanchang University (Engineering & Technology), 2003, Vol. 25, No. 1, pp. 43-47.

[15] Guo, H.S., Qian, H.L. and Shen, S.Z., “Dynamic Stability of Single-layer Reticulated Domes under Earthquake Excitation” (in Chinese), Earthquake Engineering and Engineering Vibration, 2003, Vol. 23, No. 1, pp. 31-37.

[16] Guo, H.S. and Shen, S.Z., “Analysis Method of Dynamic Stability of Single-layer Reticulated Domes” (in Chinese), Journal of Building Structures, 2003, Vol. 24, No. 3, pp.1-9.

[17] Ye, J.H. and Shen, Z.Y., “Dynamic Stability of Single-layer Spherical Domes under Earthquake Action” (in Chinese), Engineering Mechanics Supplement, 1998, pp. 6-10.

[18] Xia, K.Q., Yao, W.X. and Dong, S.L., “Dynamic Behavior of Snap-through Buckling in Reticulated Domes” (in Chinese), Engineering Mechanics, 2002, Vol. 19, No. 1, pp. 9-13.