Static response analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB
详细信息    查看全文
  • 作者:Qi Li ; Zhiping Qiu ; Xudong Zhang
  • 关键词:Interval parameters ; Second ; order Taylor series expansion ; Static response of uncertain structures ; Quadratic programming problems ; DCA
  • 刊名:Acta Mechanica Solida Sinica
  • 出版年:2015
  • 出版时间:December 2015
  • 年:2015
  • 卷:31
  • 期:6
  • 页码:845-854
  • 全文大小:870 KB
  • 参考文献:1.Stefanou, G.: The stochastic finite element method: Past, present and future. Comput. Methods Appl. Mech. Eng. 198, 1031–1051 (2009)CrossRef MATH
    2.Moore, R.E.: Methods and Applications of Interval Analysis. Prentice-Hall Inc., London (1979)
    3.Alefeld, G., Herzberger, J.: Introductions to Interval Computations. Academic Press, New York (1983)
    4.Rao, S.S., Berke, L.: Analysis of uncertain structural systems using interval analysis. AIAA J. 35, 727–735 (1997)CrossRef MATH
    5.Rohn, J., Kreinovich, V.: Computing exact componentwise bounds on solutions of linear systems with interval data is NP-hard. SIAM J. Matrix Anal. Appl. 16, 4–15 (1995)MathSciNet CrossRef
    6.Qiu, Z.P., Wang, X.J., Chen, G.Y.: Exact bounds for the static response set of structures with uncertain-but-bounded parameters. Int. J. Solids Struct. 43, 6574–6593 (2006)MathSciNet CrossRef MATH
    7.Qiu, Z.P., Chen, S.H., Song, D.: The displacement bound estimation for structures with an interval description of uncertain parameters. Commun. Numer. Methods Eng. 12, 1–11 (1996)CrossRef MATH
    8.Qiu, Z.P., Elishakoff, I.: Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Comput. Methods Appl. Mech. Eng. 152, 361–372 (1998)CrossRef MATH
    9.McWilliam, S.: Anti-optimisation of uncertain structures using interval analysis. Comput. Struct. 79, 421–430 (2001)CrossRef
    10.Chen, S.H., Yang, X.W.: Interval finite element method for beam structures. Finite Elem. Anal. Des. 34, 75–78 (2000)CrossRef MATH
    11.Chen, S.H., Lian, H.D., Yang, X.W.: Interval static displacement analysis for structures with interval parameters. Int. J. Numer. Meth. Eng. 53, 393–407 (2002)CrossRef MATH
    12.Vavasis, S.A.: Nonlinear Optimization: Complexity Issues. Oxford University Press, New York (1991)MATH
    13.Tao, P.D., Souad, E.B.: Duality in d.c. (difference of convex functions) optimization: Subgradient methods, trends in mathematical optimization. Int. Ser. Numer. Math. 84, 276–294 (1988)
    14.An, L.T.H.: Tao, P.D.: A branch and bound method via d.c. optimization algorithms and ellipsoidal technique for box constrained nonconvex quadratic problems. J. Global Optim. 13, 171–206 (1998)MathSciNet CrossRef MATH
    15.Shi, Y.H., Eberhart, R.C.: A modified particle swarm optimizer. In: Proceeding of the IEEE Congress on Evolutionary Computation, 69–73 (1998)
    16.Svanberg, K.: The method of moving asymptotes–a new method for structural optimization. Int. J. Numer. Methods. Eng. 24, 359–373 (1987)MathSciNet CrossRef MATH
    17.Tao, P.D., An, L.T.H.: D.C. optimization algorithm for solving the trust region sub-problem. SIAM J. Optim. 8, 1–30 (1998)MathSciNet CrossRef
    18.Qiu, Z.P.: Comparison of static response of structures using convex models and interval analysis method. Int. J. Numer. Meth. Eng. 56, 1735–1753 (2003)CrossRef MATH
    19.Guo, X., Bai, W., Zhang, W.S.: Extreme structural response analysis of truss structures under material uncertainty via linear mixed 0–1 programming. Int. J. Numer. Meth. Eng. 76, 253–277 (2008)MathSciNet CrossRef MATH
  • 作者单位:Qi Li (1)
    Zhiping Qiu (1)
    Xudong Zhang (1)

    1. Institute of Solid Mechanics, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing, 100191, China
  • 刊物类别:Engineering
  • 刊物主题:Theoretical and Applied Mechanics
    Mechanics, Fluids and Thermodynamics
    Engineering Fluid Dynamics
    Numerical and Computational Methods in Engineering
    Chinese Library of Science
  • 出版者:The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of
  • ISSN:1614-3116
文摘

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700