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An efficient smoothed point interpolation method for dynamic analyses
Publikationstyp
Journal Article
Publikationsdatum
2013
Sprache
English
Institut
TORE-URI
Enthalten in
Volume
10
Issue
1
Start Page
1340007
Article Number
13400070
Citation
International Journal of Computational Methods 1 (10): art. no. 1340007 (2013)
Publisher DOI
Scopus ID
Publisher
World Scientific Publishing
In this work, a new procedure to compute the mass matrix in the smoothed point interpolation method is discussed. Therefore, the smoothed subdomains are employed to evaluate the mass matrix, which have already been computed for the construction of the stiffness matrix, rendering a more efficient methodology. The procedure is discussed, taking into account the edge-based, cell-based, and node-based smoothed point interpolation methods, as well as different T-schemes for the construction of the support domain of the approximating shape function, which is here formulated based on the radial point interpolation method. Numerical results of different dynamic analyses are presented, illustrating the potentialities of the proposed methodology. © 2013 World Scientific Publishing Company.
Schlagworte
dynamic analysis
mass matrix computation
Meshfree
radial point interpolation
smoothing domain
weakend weak form
DDC Class
004: Informatik
600: Technik
620: Ingenieurwissenschaften