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Adaptive finite element procedure for 2D dynamic transient analysis using direct integration
Chalmers University of Technology.
Chalmers University of Technology.
1992 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 34, no 3, p. 997-1014Article in journal (Refereed) Published
Abstract [en]

An adaptive h-version finite element procedure is presented for a 2D elastodynamic transient analysis using direct integration. The procedure modifies the spatial discretization, i.e. the mesh, in time so that the spatial discretization error can be controlled in each time instant. We analyse an a priori error estimate for the total energy which shows that an a posteriori error estimate developed by Zienkiewicz and Zhu for linear elastostatics can reasonably be extended to dynamic transient analysis. For the time integration, both explicit and implicit time integration schemes can be coupled with the procedure. However, the study in this paper is confined to the use of the Newmark scheme. Numerical examples are used to study the performance of the error estimate and to illustrate the adaptive procedure. Obtained numerical results indicate that: (i) the extension of the Zienkiewicz-Zhu estimate to dynamic transient analysis is useful; (ii) the presented adaptive procedure can, in an efficient way, provide a finite element solution with a user-controlled accuracy.

Place, publisher, year, edition, pages
1992. Vol. 34, no 3, p. 997-1014
National Category
Infrastructure Engineering
Research subject
Structural Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-11776Local ID: acabf380-8e33-11de-8da0-000ea68e967bOAI: oai:DiVA.org:ltu-11776DiVA, id: diva2:984726
Note
Upprättat; 1992; 20090821 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Bernspång, Lars

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