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Application of the GFDM for Dynamic Analysis of Plates

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Computational Science and Its Applications - ICCSA 2011 (ICCSA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6782))

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Abstract

This paper shows the application of generalized finite difference method (GFDM) to the problem of dynamic analysis of plates. We investigated stability and its relation with the irregularity of a cloud of nodes.

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References

  1. Benito, J.J., Ureña, F., Gavete, L.: Influence several factors in the generalized finite difference method. Applied Mathematical Modeling 25, 1039–1053 (2001)

    Article  MATH  Google Scholar 

  2. Benito, J.J., Ureña, F., Gavete, L., Alvarez, R.: An h-adaptive method in the generalized finite difference. Comput. Methods Appl. Mech. Eng. 192, 735–759 (2003)

    Article  MATH  Google Scholar 

  3. Benito, J.J., Ureña, F., Gavete, L., Alonso, B.: Solving parabolic and hyperbolic equations by Generalized Finite Difference Method. Journal of Computational and Applied Mathematics 209(2), 208–233 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Benito, J.J., Ureña, F., Gavete, L., Alonso, B.: Application of the Generalized Finite Difference Method to improve the approximated solution of pdes. Computer Modelling in Engineering & Sciences 38, 39–58 (2009)

    MathSciNet  MATH  Google Scholar 

  5. Gavete, L., Gavete, M.L., Benito, J.J.: Improvements of generalized finite difference method and comparison other meshless method. Applied Mathematical Modelling 27, 831–847 (2003)

    Article  MATH  Google Scholar 

  6. Liszka, T., Orkisz, J.: The Finite Difference Method at Arbitrary Irregular Grids and its Application in Applied Mechanics. Computer & Structures 11, 83–95 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  7. Benito, J.J., Ureña, F., Gavete, L.: Leading-Edge Applied Mathematical Modelling Research, ch. 7. Nova Science Publishers, New York (2008)

    Google Scholar 

  8. Orkisz, J.: Finite Difference Method (Part, III). In: Kleiber, M. (ed.) Handbook of Computational Solid Mechanics, Springer, Heidelberg (1998)

    Google Scholar 

  9. Timoshenko, S.P., Young, D.H.: Teoría de Estructuras. Urmo S.A. de Ediciones, Spain

    Google Scholar 

  10. Thomson, W.T.: Vibration Theory and Applications. Prentice-Hall, Englewood Cliffs (1965)

    Google Scholar 

  11. Vinson, J.R.: The Behavoir or Thin Walled Strutures: Beams, Plates ans Shells. Kluwer Academic Publishers, Boston

    Google Scholar 

  12. Evans, L.C.: Partial Differential Equations. American Mathematical Society. Graduate Studies in Mathematics 19 (2010)

    Google Scholar 

  13. Knabner, P., Angerman, L.: Numerical Methods for Elliptic and Para bolic Partial Differential Equations. Texts in Applied Mathematics, vol. 44. Springer, New York (2003)

    Google Scholar 

  14. Morton, K.W., Mayers, D.F.: Numerical solution of partial differential equations: An introduction. Cambridge University Press, Cambridge (1996)

    MATH  Google Scholar 

  15. Respondek, J.: Numerical Simulation in the Partial Differential Equations Controllability Analyssis with Physically Meaningful Constraints. Mathematics and Computers in Simulation 81(1), 120–132 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  16. Respondek, J.: Approximate controllability of the n-th order infinite dimensional systems with controls delayed by the control devices. Int. J. Systems Sci. 39(8), 765–782 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Ureña, F., Gavete, L., José Benito, J., Salete, E. (2011). Application of the GFDM for Dynamic Analysis of Plates. In: Murgante, B., Gervasi, O., Iglesias, A., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications - ICCSA 2011. ICCSA 2011. Lecture Notes in Computer Science, vol 6782. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21928-3_50

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  • DOI: https://doi.org/10.1007/978-3-642-21928-3_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21927-6

  • Online ISBN: 978-3-642-21928-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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