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Tytuł artykułu

Selected problems of thin and thick plates theory in terms of BEM. Theoretical foundations and numerical comparison

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A static analysis of Kirchhoff and Reissner plates by the boundary element method has been presented in the paper. The Betti’s theorem has been used to derive the boundary integral equation. The direct version of the boundary element method has been presented.
Rocznik
Tom
Strony
41--90
Opis fizyczny
Bibliogr. 48 poz., rys., tab.
Twórcy
autor
  • Institute of Structural Engineering, Piotrowo 5, 61-138 Poznań
autor
  • Institute of Structural Engineering, Piotrowo 5, 61-138 Poznań
Bibliografia
  • 1. Burczyński T.: The Boundary Element Method in Mechanics, Scientific-Technical Publishing House, Warsaw, (1995), (in Polish).
  • 2. Altiero N.J., Sikarskie D.L.: A boundary integral method applied to plates of arbitrary plane form, Computers and Structures 9, (1978) 163-168.
  • 3. Bèzine G., Gamby D.A.: A new integral equations formulation for plate bending problems, Advances in Boundary Element Method, Pentech Press, London, (1978).
  • 4. Stern M.: A general boundary integral formulation for the numerical solution of plate bending problems, International Journal od Solids and Structures, 15,(1978) 769-782.
  • 5. Debbih M.: Boundary element method versus finite element method for the stress analysis of plates in bending, MSc Thesis, Cranfield Institute of Technology, Bedford, (1987).
  • 6. Debbih M.: Boundary element stress analysis of thin and thick plates, PhD Thesis, Cranfield Institute of Technology, Bedford, (1989).
  • 7. Beskos D.E.: Dynamic analysis of plates by boundary elements, Applied Mechanics Review, 7 (26), (1999) 213-236.
  • 8. Wen P.H., Aliabadi M.H., Young A.: A boundary element method for dynamic plate bending problems, International Journal od Solids and Structures, 37, (2000) 5177-5188.
  • 9. Katsikadelis J.T.: A boundary Element Solution to the Vibration Problem of Plates, Journal of Sound and Vibration, 141 (2), (1990) 313-322.
  • 10. Katsikadelis J.T.: A boundary Element Solution to the Vibration Problem of Plates, International Journal of Solids and Structures, 27 (15), (1991) 1867-1878.
  • 11. Katsikadelis J.T., Yotis A.J.: A New Boundary Element Solution of Thick Plates Modelled by Reissner's Theory, Engineering Analysis with Boundary Elements, 12 (1), (1999) 65-74.
  • 12. Katsikadelis J.T., Sapountzakis E.J., Zorba E.G.: A BEM Approach to Static and Dynamic Analysis with Internal Supports, Computational Mechanics, 7 (1), (1990) 31-40.
  • 13. Katsikadelis J.T., Kandilas C.B.: A Flexibility Matrix Solution of the Vibration Problem of Plates Based on the Boundary Element Method, Acta Mechanica, 83 (1-2), (1990) 51-60.
  • 14. Katsikadelis J.T., Sapountzakis E.J.: A BEM Solution to Dynamic Analysis of Plates with Variable Thickness, Computational Mechanics, 7 (5-6), (1991)369-379.
  • 15. Guminiak M., Okupniak B., Sygulski R.: Analysis of plate bending by boundary element method, in: Proceedings of European Conference on Computational Mechanics ECCM-2001, Abstracts, 1, eds.: Z. Waszczyszyn, J. Pamin, Krakow 2001, 176-177.
  • 16. Guminiak M.: Analysis of thin plates by the boundary element method using modified formulation of boundary condition (in Polish), Doctoral dissertation, Poznan University of Technology, Faculty of Civil Engineering, Architecture and Environmental Engineering, (2004).
  • 17. Guminiak M., Sygulski R.: Vibrations of system of plates immersed in fluid by BEM, Proceedings of IIIrd European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering ECCM-2006, pp. 211, eds.: C.A. Mota Soares, J.A.C. Rodrigues, J.A.C. Ambrósio, C.A.B. Pina, C.M. Mota Soares, E.B.R. Pereira and J. Folgado, CD enclosed, June 5-9, 2006, Lisbon, Portugal.
  • 18. Guminiak M., Sygulski R.: The analysis of internally supported thin plates by the Boundary Element Method. Part 1 - Static analysis, Foundation of Civil and Environmental Engineering, 9, Poznan University of Technology, (2007) 17-41.
  • 19. Guminiak M., Sygulski R.: The analysis of internally supported thin plates by the Boundary Element Method. Part 2 - Free vibration analysis, Foundation of Civil and Environmental Engineering, 9, Poznan University of Technology, (2007) 43-74.
  • 20. Guminiak M.: Curvilinear elements in static analysis of thin plates, part of monograph: Exact elements in finite and boundary element methods (in Polish). Collective work edited by Jerzy Rakowski, Poznan University of Technology Publishing House, ISBN 978-83-7143-991-9, (2011).
  • 21. Okupniak B., Sygulski R.: Non-singular BEM analysis of Reissner plates, CMM-2003, Gliwice/Wisła, 2003, Short Papers, 265-266; w: CD-ROM, red.: Burczyński T., Fedeliński P., Majchrzak E.
  • 22. Litewka B.: Analysis of Reissner plates by the boundary element method with interaction with liquid, Doctoral dissertation (in Polish), Poznan University of Technology, Faculty of Civil and Environmental Engineering, 2007.
  • 23. Litewka B., Sygulski R.: Application of the fundamental solutions by Ganowicz in a static analysis of Reissner’s plates by the boundary element method, Engineering Analysis with Boundary Elements, 34, 1072-1081, 2010.
  • 24. Ganowicz R.: Selected problems of theory of Reissner and three layer plates, Theoretical and Applied Mechanics, 3-4, (1966) 55-95 (in Polish).
  • 25. Wróbel L.C., Aliabadi M.H.: The Boundary Element Methods in Engineering, McGraw-Hill College, ISBN 0-07-707769-5, (2002).
  • 26. Katsikadelis J.T.: ΣYNOPIAKA ΣTOIXEIA, Toμoς II: Avάλνση Πλακών, EMΠ 2010, 2η Eκδοση.
  • 27. Nardini D., Brebbia C.A.: A New Approach to Free Vibration Analysis using Boundary Elements, in Boundary Element Methods in Engineering (ed. C.A. Brebbia), Springer-Verlag, Berlin and New York, (1982).
  • 28. Brebbia C.A., Nardini D.: Dynamic Analysis in Solid Mechanics by an Alternative Boundary Element Approach, Int. J. Soil Dynamics and Earthquake Engineering, Vol. 2, No. 4, pp. 228-233, (1983).
  • 29. Partridge P.W., Brebbia C.A., Wróbel L.C.: The Dual Reciprocity Boundary Element Method. Elsevier Applied Mechanics: London, (1992).
  • 30. Katsikadelis J.T.: The analog equation method. - A powerful BEM-based solution technique for solving linear and nonlinear engineering problems, in: Brebbia C.A. (ed.), Boundary Element Method XVI: 167-182, Computational Mechanics Publications, Southampton, (1994).
  • 31. Nerantzaki M.S., Katsikadelis J.T.: An Analog Equation Solution to Dynamic Analysis of Plates with Variable Thickness, Engineering Analysis with Boundary Elements, 17 (2 Special Issue), 145-152, (1996a).
  • 32. Nerantzaki M.S., Katsikadelis J.T.: Buckling of plates with variable thickness - An Analog Equation Solution, Engineering Analysis with Boundary Elements, 18 (2), 149-154, (1996b).
  • 33. Katsikadelis J.T., Yiotis A.J.: BEM for plates of variable thickness on nonlinear biparametric elastic foundation. An Analog Equation Solution, Journal for Engineering Mathematics, 46 (3-4), 313-330, (2003).
  • 34. Nerantzaki M.S., Katsikadelis J.T.: BEM for large deflection analysis of plates with variable thickness. In : Callego, R., Aliabadi, M.H., (eds.) Advamces in Boundary Element Techniques IV, 353-358. University of London, Queen Mary, (2003b).
  • 35. Chinnaboon B., Chucheepsakul S. and Katsikadelis J.T.: A BEM-based Meshless Method for Buckling Analysis of Elastic Plates with Various Boundary Conditions, International Journal of Structural Stability and Dynamics, 7(1), 81-89, (2007).
  • 36. Nerantzaki M.S., Katsikadelis J.T.: Nonlinear dynamic analysis of circular plates with varying thickness, Arch. Appl. Mech., 77, 381-391, (2007).
  • 37. Babouskos N., Katsikadelis J.T.: Flutter instability of Damped plates under combined conservative and nonconservative loads, Archive of Applied Mechanics, 79, 541-556 (DOI 10.1007/s00419-008-0290-x), (2009).
  • 38. Katsikadelis J.T., Babouskos N.G.: Nonlinear flutter instability of thin damped plates: A solution by the analog equation method, Journal of Mechanics of Materials and structures, 4 (7-8), 1395-1414, (2009).
  • 39. Babouskos N.G., Katsikadelis J.T.: Nonlinear Vibrations of Viscoelastic Plates of Fractional Derivative Type: An AEM Solution, The Open Mechanics Journal, 4, 8-20, (2010).
  • 40. Katsikadelis J.T., Babouskos N.G.: Postbuckling analysis of viscoelastic plates with fractional derivative models, Engineering Analysis with Boundary Elements, 34, 1038-1048, (2010).
  • 41. K12 Kokkinos F.T.: A layer-wise analogue equation modelling of thick plates, Recent Developments in Boundary Element Methods A volume to honour John T. Katsikadelis, E.J. Sapountzakis (ed.), WIT PRESS, Southampton, 104-118, (2010).
  • 42. Abdel-Akher A., Hartley G. A.: Domain integration for plate bending analysis by the boundary element method, Applied Numerical Method, Vol. 5,23-28,(1989).
  • 43. Timoshenko S., Woinowsky-Krieger S.: Theory of plates and shells, Arkady Publishing House, Warszawa, (1962).
  • 44. Katsikadelis J.T.: Boundary elements. Theory and applications, Elsevier (2002).
  • 45. Katsikadelis J.T., Armenakas A.E.: Analysis of Clamped Plates on Elastic Foundation by the Boundary Integral Equation Method, Journal of Applied Mechanics, Transactions ASME, 51, 547-580, (1984).
  • 46. Katsikadelis J.T., Kallivokas L.: Plates on Biparametric Elastic Foundation by BDIE Method, ASCE Journal of Engineering Mechanics, 114 (5), 847-875,(1988).
  • 47. Vivio F., Vullo V.: Closed form solutions of axisymmetric bending of circular plates having non-linear variable thickness, International Journal of Mechanical Sciences, 52, 1234-1252, (2010).
  • 48. Ventsel E., Krauthammer T.: Thin Plates and Shells, Theory, Analysis and Applications, New York: Marcel Dekker, Inc., (2001).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-15dcd187-64af-4fda-aec5-175148fc6dc1
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