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Boundary element formulation for dynamic analysis of inelastic structures

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The boundary element formulation for dynamic analysis of inelastic two-dimensional structures subjected to stationary or transient inertial loads is presented. The problem is solved by using simultaneously the displacement and stress integral equations. The numerical solution requires discretization of the boundary displacements and tractions, and stresses in the interior of the body. The boundary is divided into quadratic elements and the domain into constant or quadratic quadrilateral cells. The unknown stresses in the coupled system of equations are computed using an iterative procedure. The mass matrix of the structure is formulated by using the dual reciprocity method. The matrix equation of motion is solved step-by-step by using the Houbolt direct integration method. Several numerical examples show the influence of the discretization on the accuracy and new applications of the method. The solutions are compared to the analytical results or those computed by the finite element method.
Rocznik
Strony
379--394
Opis fizyczny
Bibliogr. 26 poz. rys. wykr.
Twórcy
autor
  • Silesian University of Technology, Department for Strength of Materials and Computational Mechanics [Politechnika Śląska], ul. Konarskiego 18 A, 44-100 Gliwice
Bibliografia
  • [1] S. Ahmad, P.K. Banerjee. Inelastic transient dynamic analysis of three-dimensional problems by BEM. International Journal for Numerical Methods in Engineering, 29: 371-390, 1990.
  • [2] P.K. Banerjee. The boundary element method in engineering. McGraw Hill, London, 1994.
  • [3] D.E. Beskos. Dynamic inelastic structural analysis by boundary element methods. Archives of Computational Methods in Engineering, 2: 55-87, 1995.
  • [4] D.E. Beskos. Dynamic analysis of structures and structural systems. In: D.E. Beskos, G. Maier, eds., Boundary Element Advances in Solid Mechanics, 1-53. International Centre for Mechanical Sciences, Courses and Lectures, No. 440. Springer-Verlag, Wien, New York, 2003.
  • [5] C.A. Brebbia, D. Nardini. Dynamic analysis in solid mechanics by an alternative boundary element procedure. Soil Dynamics and Earthquake Engineering, 2: 228-233, 1983.
  • [6] J.A.M. Carrer, J.C.F. Telles. A boundary element formulation to solve transient dynamic elastoplastic problems. Computers and Structures, 45: 707-713, 1992.
  • [7] H.B. Coda, W.S. Venturini. Dynamic non-linear stress analysis by the mass matrix BEM. Engineering Analysis with Boundary Elements, 24: 623-632, 2000.
  • [8] T. Czyż, P. Fedeliński. Numerical aspects of modeling elasto-plastic materials by the boundary element method. In: XLIII Symposium Modeling m Mechanics, Scientific Papers of Department of Applied Mechanics, 23: 99-104, Gliwice, 2004.
  • [9] T. Czyż, P. Fedeliński. Elasto-plastic dynamic analysis by boundary element method. In: 16th International Conference on Computer Methods in Mechanics, Short Papers, 69-70 (CD-ROM, 4 pages). Częstochowa, 2005.
  • [10] T. Czyż, P. Fedeliński. Boundary element formulation for dynamic analysis of materially nonlinear structures. In: 10th International Conference on Numerical Methods in Continuum, Mechanics, Book of Abstracts, 21-22, (CD-ROM - 10 pages). Zilina, Slovak Republic 2005.
  • [11] J. Dominguez. Boundary elements in dynamics. Computational Mechanics Publications. Southampton, 1993.
  • [12] X.W. Gao, T.G. Davies. Boundary element programming in mechanics. Cambridge University Press, 2002.
  • [13] H. Garnet, H. Armen. One dimensional elasto-plastic wave interaction and boundary reflections. Computers and Structures, 5: 327-334, 1975.
  • [14] M. Guiggiani, A. Gigante. A general algorithm for multidimensional Cauchy principal value integrals in the boundary element method. .Journal of Applied Mechanics, Transactions of the ASME, 57: 906-915, 1990.
  • [15] G.D. Hatzigeorgiou, D.E. Beskos, Dynamic elastoplastic analysis of 3-D structures by the domain/boundary element method. Computers and Structures, 80: 339-347, 2002.
  • [16] A.S.M. Irail, P.K. Banerjee. Advanced development of boundary element method for two-dimensional dynamic elasto-plasticity. International Journal for Solids and Structures, 29: 1433-1451, 1992.
  • [17] D.P.N. Kontoni, D.E. Beskos. Inelastic dynamic analysis by the boundary element method. In: C.A. Brebbia, W.L. Wendland, G. Kuhn, eds., Boundary Element IX, 2: 335-351. Springer-Verlag, Berlin, 1987.
  • [18] D.P.N. Kontoni, D.E. Beskos. BEM dynamic analysis of materially nonlinear problems. In: C.A. Brebbia, ed., Boundary Element X, 3: 119-132. Computational Mechanics Publications, Southampton, Springer-Verlag, Berlin, 1988.
  • [19] D.P.N. Kontoni, D.E. Beskos. The dual reciprocity boundary element method for the transient dynamic analysis of elastoplastic problems. In: C.A. Brebbia., M.S. Ingber, eds., Boundary Element Technology VII, 653-669. Computational Mechanics Publications, Southampton, Elsevier Applied Science, London, 1992,
  • [20] D.P.N. Kontoni, D.E. Beskos. Transient dynamic elastoplastic analysis by the dual reciprocity BEM. Engineering Analysis with Boundary Elements, 12: 1-16, 1993.
  • [21] D.P.N. Kontoni. Elastoplastic dynamic analysis by the DR-BEM in modal co-ordinates. In: H. Pina, C.A. Brebbia, eds., Boundary Element Technology VIII, 191-202. Computational Mechanics Publications, Southampton. Boston, 1993.
  • [22] D. Nardini, C.A. Brebbia. A new approach to free vibration analysis using boundary elements. Applied Mathematical Modelling, 7: 157-162, 1983.
  • [23] J.C.F. Telles. The boundary element method applied to inelastic problems. In: C.A. Brebbia, S.A. Orszag, eds., Lecture Notes in Engineering. Springer-Verlag, Berlin, 1983.
  • [24] J.C.F. Telles, J.A.M. Carrer. Implicit solution techniques for inelastic boundary element analysis. In: C.A. Brebbia, ed., Boundary Element X, 3: 3-15. Computational Mechanics Publications, Southampton, Springer-Verlag, Berlin, 1988.
  • [25] J.C.F. Telles, J.A.M. Carrer. Static and transient dynamic nonlinear stress analysis by the boundary element method with implicit techniques. Engineering Analysis with, Boundary Elements, 14: G5--74, 1994.
  • [26] J.C.F. Telles, J.A.M. Carrer, W.J. Mansur. Transient dynamic elastoplastic analysis by the time-domain BEM formulation. Engineering Analysis with Boundary Elements, 23: 479-486, 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0025-0002
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