Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A fast construction sequential analysis strategy for tall buildings

  • Chen, Pu (LTCS & Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University) ;
  • Li, Hao (LTCS & Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University) ;
  • Sun, Shuli (LTCS & Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University) ;
  • Yuan, Mingwu (LTCS & Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University)
  • Received : 2005.11.14
  • Accepted : 2006.04.07
  • Published : 2006.08.20
⟨ Previous Next ⟩

Abstract

In structural analysis of tall buildings the traditional primary loading analysis approach that assumes all the loads are simultaneously applied to the fully built structure has been shown to be unsuitable by many researches. The construction sequential analysis that reflects the fact of the level-by-level construction of tall buildings can provide more reliable results and has been used more and more. However, too much computational cost has prevented the construction sequential analysis from its application in CAD/CAE software for building structures, since such an approach needs to deal with systematic changing of resultant stiffness matrices following level-by-level construction. This paper firstly analyzes the characteristics of assembling and triangular factorization of the stiffness matrix in the finite element model of the construction sequential analysis, then presents a fast construction sequential analysis strategy and a corresponding step-by-step active column solver by means of improving the existing skyline solver. The new strategy avoids considerably repeated calculation by only working on the latest appended and modified part of resultant stiffness matrices in each construction level. Without any simplification, the strategy guarantees accuracy while efficiency is greatly enhanced. The numerical tests show that the proposed strategy can be implemented with high efficiency in practical engineering design.

Keywords

References

  1. ACI Committee 318. (2005), Building Code Requirements for Structural Concrete and Commentary (Aci 318m-05). American Concrete Institute
  2. Bathe, K.J. (1996), Finite Element Procedures, New Jersey: Prentice-Hall, Englewood Cliffs
  3. CASE Center (2005), GT STRUDL User Guide (version 28), Georgia Tech, Atlanta, GA
  4. Chen, P. and Sun, S.L. (2005), 'A new high performance sparse static solver in finite element analysis with loop-unrolling', Acta Mechanica Solida Sinica, 18(3),248-255
  5. Chen, P., Zheng, D., Sun, S.L. and Yuan, M.W (2003), 'High performance sparse static solver in finite element analysis with loop-unrolling', Advances in Engineering Software, 34(4), 203-215 https://doi.org/10.1016/S0965-9978(02)00128-X
  6. Choi, C.K. and Kim, E.D. (1985), 'Multistory frames under sequential gravity loads', J. Struct. Eng., ASCE, 111(11), 2373-2384 https://doi.org/10.1061/(ASCE)0733-9445(1985)111:11(2373)
  7. Choi, C.K., Chung, H.K., Lee, D.G. and Wilson, E.L. (1992), 'Simplified building analysis with sequential dead loads-CFM', J. Struct. Eng., ASCE, 118(4), 944-954 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:4(944)
  8. CSI Inc. (2002), User Interface Reference Manual of ETABS (version 8). Berkeley, CA
  9. Cuthill, E. and McKee, J. (1969), 'Reducing the bandwidth of sparse symmetric matrices', Proc. of 24th National Conf., Association for Computing Machinery, 157-172
  10. Fellipa, C.A. (1975), 'Solution of linear equations with skyline-stored symmetric matrix', Comput. Struct., 5(1), 13-29 https://doi.org/10.1016/0045-7949(75)90016-4
  11. Gibbs, W.G. and Stockmeyer, P.K. (1976), 'An algorithm for reducing the bandwidth and profile of a sparse matrix', SIAM Journal on Numerical Analysis, 13(2), 236-250 https://doi.org/10.1137/0713023
  12. Hoit, M. and Wilson, E.L. (1983), 'An equation numbering algorithm based on a minimum front criteria', Comput. Struct., 16(1-4), 225-239 https://doi.org/10.1016/0045-7949(83)90163-3
  13. Nguyen, D.T. (2001), Parallel-Vector Equation Solvers for Finite Element Engineering Applications. Kluwer/ Plenum Academics Publisher
  14. Nguyen, D.T., Qin, J., Chang, T.Y.P. and Tong, P. (1997), 'Efficient sparse equation solver with unrolling strategies for computational mechanics', Proc. of the ICES'97 Conf., Costa Rica, May 4-9, 676-681
  15. Nie, C.G., Sun, S.L., Chen, B., Yuan, M.W and Chen, P. (2006), 'Implementation of fast sequential construction analysis', China Civil Engneering J., 39(2), 21-26. (in Chinese)
  16. Prado, J.F.M.A., Correa, M.R.S. and Ramalho, M.A. (2003), 'A new procedure for the analysis of construction loads in multistory reinforced concrete structures', The Structural Design of Tall and Special Buildings, 12(4), 293-315 https://doi.org/10.1002/tal.223
  17. Technical Specification of Tall Building Structures JBJ3-2002. (2002), Chinese Architecture and Building Press, Beijing. (in Chinese)
  18. Wilson, E.L. and Dovey, H.H. (1978), 'Solution or reduction of equilibrium equations for large complex structural system', Advances in Engineering Software, 1(1), 19-26 https://doi.org/10.1016/0141-1195(78)90018-9
  19. Yuan, M.W. (2003), SAP84 Structural Analysis Program (version 6.0), Beijing, 2003. (in Chinese)
  20. Zhang, L.B. (1998), 'Unrolling in Fortran 77 by using m4 macro command', Numerical Analysis and Computer Application, 19(1), 56-62. (in Chinese)
  21. Zhao, X.A. (1992), Structure Design of Reinforced Concrete Tall Building. Beijing: China Architecture and Building Press. (in Chinese)
  22. Zheng, D. and Chang, T.Y.P. (1995), 'Parallel Cholesky method on MIMD with shared memory', Comput. Struct., 56(1), 25-38 https://doi.org/10.1016/0045-7949(94)00534-A

Cited by

  1. An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis vol.143, 2014, https://doi.org/10.1016/j.compstruc.2014.07.014
  2. An Improvement to Exact Reanalysis Algorithm for Local Non-topological Structural Modifications pp.1793-6969, 2018, https://doi.org/10.1142/S0219876218501487
  3. Structural analysis of high-rise reinforced concrete building structures during construction vol.36, pp.4, 2006, https://doi.org/10.12989/sem.2010.36.4.513
  4. Simplified sequential construction analysis of buildings with the new proposed method vol.63, pp.1, 2006, https://doi.org/10.12989/sem.2017.63.1.077
  5. A direct topological reanalysis algorithm based on updating matrix triangular factorization vol.36, pp.8, 2006, https://doi.org/10.1108/ec-09-2018-0432