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Time-independent stochastic design sensitivity analysis of structural systems with second-order accuracy

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper, the static sensitivity of complex structures with respect to random design parameters is presented. Using the adjoint system method, based on the mean-point second-order perturbation method, the first two probabilistic moments of time-independent sensitivity are formulated with means and cross-covariances of random design parameters as the input data. It enables one to obtain the second-order accuracy of the solution. The presented formulations are illustrated by a number of numerical examples. The influence of finite element mesh density for the obtained results is discussed using the analysis of the spatial bar dome.
Rocznik
Strony
783--794
Opis fizyczny
Bibliogr. 28 poz., rys., tab.
Twórcy
autor
  • West Pomeranian University of Technology in Szczecin, Faculty of Civil Engineering and Architecture, Poland
Bibliografia
  • 1. Adomian G., 1983, Stochastic Systems, Academic Press
  • 2. Bathe K.-J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall
  • 3. Choi K.K., Kim N.-H., 2010, Structural Sensitivity Analysis and Optimization, Springer
  • 4. Ding J., Pan Z., Chen L., 2012, Parameter identification of multibody systems based on second order sensitivity analysis, International Journal of Non-Linear Mechanics, 47, 1105-1110
  • 5. Drewko J., Hien T.D., 2005, First- and second-order sensitivities of beams with respect to cross-sectional cracks, Archive of Applied Mechanics, 74, 309-324
  • 6. Fishman G.S., 1995, Monte Carlo: Concept, Algoritms and Aplications, Springer
  • 7. Ghanem R.G., Spanos P.D., 1991, Stochastic Finite Elements: A Spectral Approach, Springer
  • 8. Greene M.S., Liu Y., Chen W., Liu W.K., 2011, Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory, Computer Methods in Applied Mechanics and Engineering, 200, 309-325
  • 9. Haug E.J., Choi K.K., Komkov V., 1986, Design Sensitivity Analysis of Structural Systems, Academic Press
  • 10. Hien T.D., 2003, Numerical Analysis of Stochastic Systems, Wyd. PS
  • 11. Hien T.D., Kleiber M., 1989, Computational aspects in structural design sensitivity analysis for statics and dynamics, Computers and Structures, 33, 939-950
  • 12. Hien T.D., Kleiber M., 1990, POLSAP — A Finite Element Code for Deterministic and Stochastic Analyses of Large 3D Structures, IPPT PAN
  • 13. Hien T.D., Kleiber M., 1991, Stochastic structural design sensitivity of static response, Computers and Structures, 38, 5/6, 659-667
  • 14. Hisada T., Nakagiri S., 1981, Stochastic finite element method for structural safety and relability, Proceedings of 3rd International Conference on Structural Safety and Reliability, 395-402
  • 15. Kincayd D., Cheney W., 2002, Numerical Analysis. Mathematic of Scientific Computing, 3rd ed., Wadsworth Group
  • 16. Kleiber M., Hien T.D., 1992, The Stochastic Finite Element Method, Willey
  • 17. Leet K.M., Uang Ch.-M., GilbertA.M., 2010, Fundamentals of Structural Analysis, 4th ed., Mc Graw-Hill
  • 18. Li J., Chen J., 2009, Stochastic Dynamics of Structures, Wiley
  • 19. Liu W.K., Belytschko T., Mani A., 1986, Random field finite elements, International Journal for Numerical Methods in Engineering, 23, 1831-1845
  • 20. Liu Y., Greene M.S., Chen W., Dikin A.D., Liu W.K., 2013, Computational microstructure characterization and reconstruction for stochastic multiscale material design, Computer-Aided Design, 65-76
  • 21. Mroz Z., Bojczuk D., 2012, Shape and topology sensitivity analysis and its application to structural design, Archive of Applied Mechanics, 82, 1541-1555
  • 22. Mroz Z., Haftka R.T., 1986, First- and second-order sensitivity analysis of linear and nonlinear systems, AIAA Journal, 24, 1187-1192
  • 23. Niczyj J., 2003, Multi-Criteria Optimization of Reliability and Estimation of the Technical State of Bar Structures Using Fuzzy Sets Theory (in Polish), Wyd. PS
  • 24. Rubinstein R.Y., Kroese D. P., 2008, Simulation and the Monte Carlo Method, 2nd ed., Willey
  • 25. Spanos P.D., Ghanem R.G., 1989, Stochastic finite element expansion for random media, Journal of Engineering Mechanics, 115, 5, 1035-1053
  • 26. Weber H., Hien T.D., 2010, Elimination of beat effects in structures by added lumped mass, Pomiary Automatyka Kontrola, 56, 617-619
  • 27. Weber H., 2014, Numerical analysis of static and dynamic sensitivity of complex structural systems with random parameters, Ph.D Thesis, West Pomeranian University of Technology Szczecin
  • 28. Zienkiewicz O.C., Taylor R.M., 1991, The Finite Element Method, McGraw-Hill
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-38076008-50c0-4add-85da-e48b9130e8fc
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