DOI QR코드

DOI QR Code

An efficient method to structural static reanalysis with deleting support constraints

  • Liu, Haifeng (Department of Mathematics, School of Mathematics and Statistics, Xi'an Jiaotong University) ;
  • Yue, Shigang (School of Computer Science, University of Lincoln, Brayford Pool Campus)
  • 투고 : 2013.10.01
  • 심사 : 2014.06.12
  • 발행 : 2014.12.25

초록

Structural design is usually an optimization process. Numerous parameters such as the member shapes and sizes, the elasticity modulus of material, the locations of nodes and the support constraints can be selected as design variables. These variables are progressively revised in order to obtain a satisfactory structure. Each modification requires a fresh analysis for the displacements and stresses, and reanalysis can be employed to reduce the computational cost. This paper is focused on static reanalysis problem with modification of deleting some supports. An efficient reanalysis method is proposed. The method makes full use of the initial information and preserves the ease of implementation. Numerical examples show that the calculated results of the proposed method are the identical as those of the direct analysis, while the computational time is remarkably reduced.

키워드

참고문헌

  1. Abu Kassim, A.M. and Topping, B.H.V. (1987), "Static reanalysis: a review", J. Struct. Eng., ASCE, 113(5), 1029-1045. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:5(1029)
  2. Akgun, M.A., Garcelon, J.H. and Haftka, R.T. (2001), "Fast exact linear and non-linear structural reanalysis and the Sherman-Morrison-Woodbury formulas", Int. J. Numer. Method. Eng., 50(7), 1587-1606. https://doi.org/10.1002/nme.87
  3. Chen, T.Y. and Huang, J.H. (2013), "An efficient and practical approach to obtain a better optimum solution for structural optimization", Eng. Optim., 45(8), 1005-1026. https://doi.org/10.1080/0305215X.2012.713357
  4. Davis, T.A. (2006), Direct Methods for Sparse Linear System, SIAM, Philadelphia.
  5. Golub, G.H. and Van Loan, C.F. (1996), Matrix Computations, 3rd Edition, The Johns Hopkins University Press, Baltimore, London.
  6. Kirsch, U. (2008), Reanalysis of Structures, Springer, Dordrecht.
  7. Leu, L.J. and Tsou, C.H. (2000), "Application of a reduction method for reanalysis to nonlinear dynamic analysis of framed structures", Comput. Mech., 26(5), 497-505. https://doi.org/10.1007/s004660000200
  8. Li, Z.G. and Wu, B.S. (2007), "A preconditioned conjugate gradient approach to structural reanalysis for general layout modifications", Int. J. Numer. Method. Eng., 70(5), 505-522. https://doi.org/10.1002/nme.1889
  9. Liu, C.H., Cheng, I., Tsai, A.C., Wang, L.J. and Hsu, J.Y. (2010), "Using multiple point constraints in finite element analysis of two dimensional contact problems", Struct. Eng. Mech., 36(1), 95-110. https://doi.org/10.12989/sem.2010.36.1.095
  10. Liu, H.F., Wu, B.S., Lim, C.W. and Li, Z.G. (2012a), "An approach for structural static reanalysis with unchanged number of degrees of freedom", Struct. Multidisc. Optim., 45(5), 681-692. https://doi.org/10.1007/s00158-011-0723-y
  11. Liu, H.F., Wu, B.S. and Li, Z.G. (2012b), "An efficient approach to structural static reanalysis with added support constraints", Struct. Eng. Mech., 43(3), 273-285. https://doi.org/10.12989/sem.2012.43.3.273
  12. Olhoff, N. and Taylor, J.E. (1983), "On structural optimization", J. Appl. Mech., ASME, 50(4), 1139-1151. https://doi.org/10.1115/1.3167196
  13. Pais, M.J., Yeralan, S.N., Davis, T.A. and Kim, N.H. (2012), "An exact reanalysis algorithm using incremental Cholesky factorization and its application to crack growth modeling", Int. J. Numer. Method. Eng., 91(12), 1358-1364. https://doi.org/10.1002/nme.4333
  14. Takezawa, A., Nishiwaki, S., Izui, K. and Yoshimura, M. (2006), "Structural optimization using function-oriented elements to support conceptual designs", J. Mech. Des., ASME, 128(4), 689-700. https://doi.org/10.1115/1.2198257
  15. Tanskanen, P. (2006), "A multiobjective and fixed elements based modification of the evolutionary structural optimization method", Comput. Method. Appl. M., 196(1-3), 76-90. https://doi.org/10.1016/j.cma.2006.01.010
  16. Terdalkar, S.S. and Rencis, J.J. (2006), "Graphically driven interactive finite element stress reanalysis for machine elements in the early design stage", Finit. Elem. Anal. Des., 42(10), 884-899. https://doi.org/10.1016/j.finel.2006.01.009
  17. Wang, D., Jiang, J.S. and Zhang, W.H. (2004), "Optimization of support positions to maximize the fundamental frequency of structures", Int. J. Numer. Method. Eng., 61(10), 1584-1602. https://doi.org/10.1002/nme.1124
  18. Zhu, J.H. and Zhang, W.H. (2010), "Integrated layout design of supports and structures", Comput. Method. Appl. M., 199(9-12), 557-569. https://doi.org/10.1016/j.cma.2009.10.011

피인용 문헌

  1. Reanalysis of Modified Structures by Adding or Removing Substructures vol.2018, pp.1687-8094, 2018, https://doi.org/10.1155/2018/3084078
  2. The Cholesky rank-one update/downdate algorithm for static reanalysis with modifications of support constraints vol.62, pp.3, 2014, https://doi.org/10.12989/sem.2017.62.3.297