GEOMETRY CONSTRUCTION METHOD OF HEX-TRI RECIPROCAL FRAME

Authors

  • Lin Qi Civil Aviation University of China, Tianjin, China
  • Wenbo Zhang Civil Aviation University of China, Tianjin, China
  • Zifei Li Civil Aviation University of China, Tianjin, China
  • Ronglai Sun Civil Aviation University of China, Tianjin, China
  • Xin Huang Civil Aviation University of China, Tianjin, China

DOI:

https://doi.org/10.14311/CEJ.2019.04.0048

Keywords:

Hex-tri reciprocal frame, Structural geometry, Geometrical characteristics, Structural unit, Construction method

Abstract

In this paper the geometrical characteristics and construction method of hex-tri reciprocal frame are studied. The naming rules of structural units, members and joints of hex-tri reciprocal frame are proposed. Based on the study of relationships between the structural geometrical parameters, the formulas for the joint coordinates of the structural unit are derived, and the calculating method for normalized direction vectors of the unit members is also developed. The geometry construction method of hex-tri reciprocal frame is established in this paper. By this method the whole structure is formed as an assembly of the units arranged in rings about the structural center. The influences of the diameter, the length and the binding length of the member on the rise of hex-tri reciprocal frame are analyzed by an example. If the rise of hex-tri reciprocal frame needs to be specified in the design, the values of the diameter, the length and the binding length of the structural member need to be coordinated to meet the design requirements.

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References

B. Di Carlo, 2008. The wooden roofs of Leonardo and new structural research. Nexus Network Journal, vol. 10: 27 38.

R.L. Zhou, T. Z.Y., G.H. Ji, A preliminary study on the parameterization of three dimensional reciprocal structure.

Y. Wu , Y. Su, G. Qiao, 2018. A form finding method for reciprocal spatial grid structure. Journal of Building Structures, vol. 7.

D. Zou, N. Xiao, 2016. Research on configuration generation optimization of reciprocal structure. Spatial structure, vol. 9: 17 26.

J. Chilton, B. Choo, Reciprocal frame long span structures. In Innovative Large Span Structures, Toronto: Toronto, 1992, 100 109.

J. Chilton, B. Choo, P. Coulliette, Retractable roofs using the reciprocal frame. In IABSE Report: International Association for Bridge and Structural Engineering, IABSE Report: International Association for Bridge and Structural Engineering, 1994, 49 54.

P.L. Olga, Reciprocal Frame Architecture.

B.L. Vito, One principle, many forms.

O. Baverel, H. Nooshin, Y. Kuroiwa, 2004. Configuration processing of nexorades using genetic algorithms. Journal of the International Association for Shell and Spatial Structures, vol. 45: 99 108.

J. Rizzuto, 2007. Rotated mutually supported elements in truncated icosahedric domes. Journal of the International Association for Shell and Spatial Structures, vol. 48: 3 17.

D. Parigi, Kinematics of Reciprocal Frames: Toward Adaptable Structures for Architectural Heritage. Torino: Politecnico di Torino, 2011.

P. Song, W. Fu, P. Goswami, et al., 2014. An interactive computational design tool for large reciprocal frame structures. Nexus Network Journal, vol. 16: 109 118.

S. Peng, Reciprocal Frame Structures Made Easy. Singapore: Nanyang Technological University, 2014.

J. Rizzuto, O.P. Larsen, 2010. Connection systems in reciprocal frames and mutually supported elements space structure networks. International Journal of Space Structures, vol. 25: 243 256.

D. Parigi, M. Sassone, P.H. Kirkegaard, et al., 2014. Static and kinematic formulation of planar reciprocal assemblies. Nexus Network Journal, vol. 16: 37 59.

O.P. Larsen, 2014. Reciprocal frame (RF) structures: real and exploratory. Nexus Network Journal, vol. 16: 119 134.

S. Gelez, S. Aubry, B. Vaudeville, 2011. Nexorade or reciprocal frame system applied to the design and construction of a 850 m2 archaeological shelter. International Journal of Space Structures, vol. 26: 303

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Published

2019-12-31

How to Cite

Qi, L., Zhang, W., Li, Z., Sun, R., & Huang, X. (2019). GEOMETRY CONSTRUCTION METHOD OF HEX-TRI RECIPROCAL FRAME. Stavební Obzor - Civil Engineering Journal, 28(4). https://doi.org/10.14311/CEJ.2019.04.0048

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Articles