In this paper, two triangular plate elements based on the absolute nodal coordinate formulation (ANCF) are introduced. Triangular elements employ the Kirchhoff plate theory and can, accordingly, be used in thin plate problems. As usual in ANCF, the introduced elements can exactly describe arbitrary rigid body motion when their mass matrices are constant. Previous plate developments in the absolute nodal coordinate formulation have focused on rectangular elements that are difficult to use when arbitrary meshes need to be described. The elements introduced in this study have overcome this problem and represent an important addition to the absolute nodal coordinate formulation. The two elements introduced are based on Specht’s and Morley’s shape functions, previously used in conventional finite element formulations. The numerical solutions of these elements are compared with previously proposed rectangular finite element and analytical results.
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October 2008
Research Papers
Two Simple Triangular Plate Elements Based on the Absolute Nodal Coordinate Formulation
Oleg Dmitrochenko,
Oleg Dmitrochenko
Department of Mechanical Engineering,
e-mail: oleg.dmitrochenkooleg.dmitrochenko
Lappeenranta University of Technology
, Skinnarilankatu 34, 53851 Lappeenranta, Finland
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Aki Mikkola
Aki Mikkola
Department of Mechanical Engineering,
e-mail: aki.mikkola@lut.f
Lappeenranta University of Technology
, Skinnarilankatu 34, 53851 Lappeenranta, Finland
Search for other works by this author on:
Oleg Dmitrochenko
Department of Mechanical Engineering,
Lappeenranta University of Technology
, Skinnarilankatu 34, 53851 Lappeenranta, Finlande-mail: oleg.dmitrochenkooleg.dmitrochenko
Aki Mikkola
Department of Mechanical Engineering,
Lappeenranta University of Technology
, Skinnarilankatu 34, 53851 Lappeenranta, Finlande-mail: aki.mikkola@lut.f
J. Comput. Nonlinear Dynam. Oct 2008, 3(4): 041012 (8 pages)
Published Online: September 4, 2008
Article history
Received:
June 9, 2007
Revised:
November 26, 2007
Published:
September 4, 2008
Citation
Dmitrochenko, O., and Mikkola, A. (September 4, 2008). "Two Simple Triangular Plate Elements Based on the Absolute Nodal Coordinate Formulation." ASME. J. Comput. Nonlinear Dynam. October 2008; 3(4): 041012. https://doi.org/10.1115/1.2960479
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