TECHNICAL PAPERS
Apr 1, 2002

New Triangular Plane Element with Drilling Degrees of Freedom

Publication: Journal of Engineering Mechanics
Volume 128, Issue 4

Abstract

A new plane element with drilling degrees of freedom is derived in this paper. This membrane finite element can be combined with the plate bending element. The element provides an efficient tool for linear and nonlinear analysis of shells. The element stiffness matrix is obtained from pure deformations—elongations of edges. This approach is very suitable for nonlinear analysis, where the unbalanced forces can be obtained directly from elongations of edges.

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References

Allman, D. J.(1984). “A compatible triangular element including vertex rigid rotations for plane elasticity analysis.” Comput. Struct., 19, 1–8.
Bergan, P. G., and Felippa, C. A.(1985). “A triangular membrane element with rotational degrees of freedom.” Comput. Methods Appl. Mech. Eng., 50, 25–69.
Felippa, C. A., and Alexander, S.(1992). “Membrane triangles with corner drilling freedoms-III. Implementation and performance evaluation.” Finite Elem. Anal. Design, 12, 203–239.
Greene, B. E., Storm, D. R., and Weikel, R. C. (1961). “Application of the stiffness method to the Analysis of shell structures.” Proc., Aviation Conf., ASME, Los Angeles.
Ibrahimbegovic, A., Taylor, R. L., and Wilson, E. L.(1990). “A robust quadrilateral membrane finite element with drilling degrees of freedom.” Int. J. Numer. Methods Eng., 30, 445–457.
Krysl, P. (1993). “Nonlinear buckling analysis and large strain of Structures in the finite element method.” PhD thesis, KU-CTU, Prague, Czech Republic.
Lee, S. C., and Yoo, CH. H.(1988). “A novel shell element including in plane torque effect.” Comput. Struct., 28, 505–522.
Timoshenko, S., and Goodier, J. N. (1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 128Issue 4April 2002
Pages: 413 - 418

History

Received: Jun 16, 2001
Accepted: Sep 27, 2001
Published online: Apr 1, 2002
Published in print: Apr 2002

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Authors

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Petr Fajman
Dept. of Structural Mechanics, Czech Technical Univ. Faculty of Civil Engineering, Thakurova 7, 166 29 Prague 6, Czech Republic.

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