Abstract
The prestress developing of tensile cable-net structures is a state transforming process from the initial unstressed state to the final prestressed state, and it is rather complicated because the elastic deformation is normally coupled with the kinematic mechanism movement. Firstly, the basic equations of prestress developing by moving boundary joint are derived from the total potential energy equation. Secondly, the presumed initial tension is proposed to impose into the elements and avoid the singularity of global stiffness matrix. And the self-stress mode which is calculated from the equilibrium matrix with singular value decomposition is employed as basically presumed initial tension. By applying boundary movement increment, an iterative computation is developed to calculate the updating geometric configuration and tension evolution. Finally, the MATLAB program is coded from the presented method, and numerical examples indicate that this computational method is effective and has theoretical significance and valuable guide to design and construction of tensile cable-net structure.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Møllmann H. Analysis of plane prestressed cable structures [J]. Journal of the Structural Division, 1970, 96(10): 2059–2082.
Tibert A G, Pellegrino S. Review of form-finding methods for tensegrity structures [J]. International Journal of Space Structures, 2003, 18(4): 209–223.
Hoang C T, Lee J. Advanced form-finding for cablestrut structures [J]. Solids and Structures, 2010, 47: 1785–1794.
Zhang L M, Chen W J, Dong S L. Initial pre-stress finding procedure and structural performance research for Levy cable dome based on linear adjustment theory [J]. Journal of Zhejiang University SCIENCE A, 2007, 8(9): 1366–1372.
Ren Tao, Chen Wu-jun, Fu Gong-yi. Initial pre-stress finding and structural behaviors: Analysis of cable net based on linear adjustment theory [J]. Journal of Shanghai Jiaotong University (Science), 2008, 13(2): 155–160.
Ren Tao, Chen Wu-jun, Fu Gong-yi. A new initial pre-stress calculation method and structural performance of tensile cable-net structure [J]. Journal of South China University of Technology: Natural Science Edition, 2008, 36(6): 25–29 (in Chinese).
Ren Tao. Structural analysis and construction simulation research for the radial-ring single-layer cable-net stadium roof [D]. Shanghai: School of Naval Architecture, Ocean and Civit Engineering, Shanghai Jiaotong University, 2008 (in Chinese).
Zhng Li-mei. Structural analysis algorithm and structural performance research for non-fully symmetry Geiger cable dome[D]. Shanghai: School of Naval Architecture, Ocean and Civit Engineering, Shanghai Jiaotong University, 2008 (in Chinese).
Du Gui-shou. Flexibility analysis of cable and strut tension structures [D]. Shanghai: School of Naval Architecture, Ocean and Civit Engineering, Shanghai Jiaotong University, 2008 (in Chinese).
Lu J Y, Luo Y Z, Li N. An incremental algorithm to trace the non-linear equilibrium paths of pin-jointed structures using the singular value decomposition of the equilibrium matrix [J]. Journal of Aerospace Engineering, 2009, 223(7): 881–890.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the National Natural Science Foundation of China (Nos. 50878128 and 51278299)
Rights and permissions
About this article
Cite this article
Zhao, Jz., Chen, Wj. & Fu, Gy. Computational method for prestress developing of tensile cable-net structures. J. Shanghai Jiaotong Univ. (Sci.) 18, 197–204 (2013). https://doi.org/10.1007/s12204-013-1383-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-013-1383-4
Key words
- tensile cable-net structures
- prestress developing
- presumed initial tension
- self-stress mode
- singular value decomposition