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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benito, J.J., Ureña, F., Gavete, L.: Influence several factors in the generalized finite difference method. Applied Mathematical Modeling 25, 1039–1053 (2001)
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)
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)
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)
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)
Liszka, T., Orkisz, J.: The Finite Difference Method at Arbitrary Irregular Grids and its Application in Applied Mechanics. Computer & Structures 11, 83–95 (1980)
Benito, J.J., Ureña, F., Gavete, L.: Leading-Edge Applied Mathematical Modelling Research, ch. 7. Nova Science Publishers, New York (2008)
Orkisz, J.: Finite Difference Method (Part, III). In: Kleiber, M. (ed.) Handbook of Computational Solid Mechanics, Springer, Heidelberg (1998)
Timoshenko, S.P., Young, D.H.: Teoría de Estructuras. Urmo S.A. de Ediciones, Spain
Thomson, W.T.: Vibration Theory and Applications. Prentice-Hall, Englewood Cliffs (1965)
Vinson, J.R.: The Behavoir or Thin Walled Strutures: Beams, Plates ans Shells. Kluwer Academic Publishers, Boston
Evans, L.C.: Partial Differential Equations. American Mathematical Society. Graduate Studies in Mathematics 19 (2010)
Knabner, P., Angerman, L.: Numerical Methods for Elliptic and Para bolic Partial Differential Equations. Texts in Applied Mathematics, vol. 44. Springer, New York (2003)
Morton, K.W., Mayers, D.F.: Numerical solution of partial differential equations: An introduction. Cambridge University Press, Cambridge (1996)
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)
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)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)