DOI QR코드

DOI QR Code

Vector algorithm for layered reinforced concrete shell element stiffness matrix

  • Min, Chang Shik (Dept. of Ocean Civil Eng., Cheju National Univ.) ;
  • Gupta, Ajaya Kumar (Center for Nuclear Power Plant Structures, Equipment and Piping, North Carolina State University)
  • 발행 : 1995.03.25

초록

A new vector algorithm is presented for computing the stiffness matrices of layered reinforced concrete shell elements. Each element stiffness matrix is represented in terms of three vector arrays of lengths 78, 96 and 36, respectively. One element stiffness matrix is calculated at a time without interruption in the vector calculations for the uncracked or cracked elements. It is shown that the present algorithm is 1.1 to 7.3 times more efficient then a previous algorithm developed by us on a Cray Y-MP supercomputer.

키워드

참고문헌

  1. Ahmad, Sohrabuddin, Irons, Bruce, M. and Zienkiewicz, O.C. (1970), "Analysis of thick and thin shell structures by curved finite elements," Int. J. for Numer. Meth. in Eng., 2, 419-451. https://doi.org/10.1002/nme.1620020310
  2. Akbar, Habibollah and Gupta, Ajaya Kumar (1985), "Membrane reinforcement in concrete shells: design versus nonlinear behavior," North Carolina State University, Raleigh, North Carolina 27695-7908, January, Reinforced Concrete Shell Research Report.
  3. Cray SR-0018 C, CFT77 reference manual, SR-0018 C, Cray Research, Inc.
  4. Cray SR-208l 6.0, UNICOS Math and Scientific Library Reference Manual, Cray Research, Inc.
  5. Gupta, Ajaya Kumar and Akbar, Habibollah (1984), "Cracking in reinforced concrete analysis," J. Struct. Engrg., ASCE, 110(8), 1735-1746. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:8(1735)
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  7. Lin, Cheng-Shung. and Scordelis, Alexander C. (1975), "Nonlinear analysis of RC shells of general form," J. Struct Div., ASCE, 101(3), 523-538.
  8. Min, Chang-Shik. and Gupta, Ajaya Kumar (1991), "Vector finite-element analysis using IBM 3090-600E VF," Commun. in Applied Numer. Methods, 7(2), 155-164. https://doi.org/10.1002/cnm.1630070209
  9. Min, Chang-Shik and Gupta, Ajaya Kumar (1992), "A Study of inelastic behavior of reinforced concrete shells using supercomputers," Department of Civil Engrg., North Carolina State University, Raleigh, North Carolina 27695-7908, March. Reinforced Concrete Shell Research Report.
  10. Min, Chang-Shik. and Gupta, Ajaya Kumar (1994a), "Vector algorithm for reinforced concrete shell element stiffness Matrix," Structural Engineering and Mechanics, An International Journal, 2(2), 125-139. https://doi.org/10.12989/sem.1994.2.2.125
  11. Min, Chang-Shik. and Gupta, Ajaya Kumar (1994b), "Vector algorithm for layered reinforced concrete shell element stiffness matrix," Center for Nuclear Power Plant Structures, Equipment and Piping, North Carolina State University, Raleigh, North Carolina 27695-7908, April, Raleigh.
  12. Pawsey, Stuart F. and Clough, Ray W. (1971), "Improved numerical integration of thick shell finite elements," Int. J. for Numer. Methods in Eng., 3, 575-586. https://doi.org/10.1002/nme.1620030411

피인용 문헌

  1. Inelastic vector finite element analysis of RC shells vol.4, pp.2, 1996, https://doi.org/10.12989/sem.1996.4.2.139
  2. Limits to the strength design of reinforced concrete shells and slabs vol.61, 2014, https://doi.org/10.1016/j.engstruct.2014.01.011
  3. Design and ultimate behavior of RC plates and shells vol.228, pp.1-3, 2004, https://doi.org/10.1016/j.nucengdes.2003.06.023