Journal of Korean Association for Spatial Structures (한국공간구조학회논문집)

Korean Association for Spatial Structures (한국공간구조학회)
권호 표지
DOI QR코드

DOI QR Code

Form Finding of a Single-layered Pneumatic Membrane Structures by Using Nonlinear Force Method

비선형 내력법을 이용한 단일 공기막의 형상 탐색

  • Shon, Sudeok (Dept. of Architectural Eng., Koreatech University) ;
  • Ha, Junhong (School of Liberal Arts, Koreatech University) ;
  • Lee, Seungjae (Dept. of Architectural Eng., Koreatech University)
  • 손수덕 (한국기술교육대학교 건축공학과) ;
  • 하준홍 (한국기술교육대학교 교양학부) ;
  • 이승재 (한국기술교육대학교 건축공학과)
  • Received : 2021.08.30
  • Accepted : 2021.09.16
  • Published : 2021.12.15
Download PDF
⟨ Previous Next ⟩

Abstract

This study aims to develop a form-finding algorithm for a single-layered pneumatic membrane. The initial shape of this pneumatic membrane, which is an air-supported type pneumatic membrane, is to find a state in which a given initial tension and internal pneumatic pressure are in equilibrium. The algorithm developed to satisfy these conditions is that a nonlinear optimization problem based on the force method considering the deformed shape is formulated, and, it's able to find the shape by iteratively repeating the process of obtaining a solution of the governing equations. An computational technique based on the Gauss-Newton method was used as a method for obtaining solutions of nonlinear equations. In order to verify the validity of the proposed form-finding algorithm, a single-curvature pneumatic membrane example and a double-curvature air pneumatic membrane example were adopted, respectively. In the results of these examples, it was possible to well observe the step-by-step convergence process of the shape of the pneumatic membrane, and it was also possible to confirm the change in shape according to the air pressure. In addition, the calculation results of the shape and internal force after deformation due to initial tension, air pressure, and self-weight were obtained.

Keywords

Acknowledgement

이 논문은 2019년도 정부(과학기술정보통신부)의 재원으로 한국연구재단의 지원을 받아 수행된 기초연구사업임(NRF-2019R1F1A1058327 및 NRF-2019R1A2C2010693)

References

  1. Shon, S.D., Jeong, E.S. & Kim, S.D., "A study on the nonlinear stress-deformation analysis and design of unity-typed pneumatic structures under the design load," Journal of the Korean Association for Shell and Spatial Structures, Vol.5, No.2, pp.47-55, 2005
  2. Lewis, W.J., "Tension structures," Thomas Telford, 2003
  3. Shon, S.D., Kim, S.D., Jeong, E.S. & Jeon, J.H., "A study on estimate for error and convergence of membrane structures according to the nonlinear form-finding techniques," Journal of the Korean Association for Shell and Spatial Structures, Vol.7, No.3, pp.57-66, 2007
  4. Sur, S., Lee, J.B. & Kwun, T.J., "A study on the shape-finding analysis of pneumatic structures," Journal of the Architectural Institute of Korea, Structure & Construction, Vol.14, No.5, pp.285-292, 1998
  5. Park, S.W., Kim, S.D., Shon, S.D. & Jeong, E.S., "A study on the shape-decision technique of membrane structures according to the design process and shape analysis," Journal of the Korean Association for Shell and Spatial Structures, Vol.7, No.2, pp.115-124, 2007
  6. Lee, J.N., Park, S.W., Kim, S.D. & Park, C.S., "The term and classification of structure system with non-rigid member," Journal of the Korean Association for Shell and Spatial Structures, Vol.4, No.2, pp.99-105, 2004
  7. Shon, S.D., Lee, S.J. & Lee, K.G., "Smooth Cutting Pattern Generation Technique for Membrane Structures by Using Geodesic Line on the Sub-plane and Spline Interpolation," Journal of Central South University, Vol.20, No.11, pp.3131-3141, 2013 https://doi.org/10.1007/s11771-013-1836-9
  8. Liuti A., "Design and construction interfaces: the pneumatic erection of gridshells," 2018 (URI: http://hdl.handle.net/11343/214578)
  9. Kwan, A.S.K., "A new approach to geometric nonlinearity of cable structures", Computer & Structures, Vol.67, pp.813-828, 1998
  10. Pauletti, R.M.O., Pappalardo-Jr, A. & Guirardi, D.M., "The method of dynamic relaxation for the static nonlinear analysis of cable and membrane structures," IASS-SLTE International Symposium 2008, Acapulco, Mexico
  11. Shon, S.D., Kwan, A.S.K., & Lee, S.J., "Shape control of cable structures considering concurrent/sequence control," Structural Engineering and Mechanics, Vol.52, No.5, pp.919~935, 2014 https://doi.org/10.12989/sem.2014.52.5.919