Sulaeman, Erwin
(2011)
Accurate geometric stiffness matrix formulation of beam finite element.
In:
Advances in Aircraft Structures.
IIUM Press, Kuala Lumpur, pp. 190197.
ISBN ISBN 9789674181482
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Abstract
Alternate estimation of beam buckling load is presented in this Chapter. The standard procedure using a variational principle approach is usually utilized a cubic polynomial approach for the beam displacement shape such that the geometric stiffness matrix is a function of the geometric length of the element only. In the present work, the geometric stiffness matrix is developed as function geometric length and preassumed buckling load such that the accuracy of the buckling load can be improved by performing iteration. If the preassumed buckling load is set to zero, the present work will yield to the standard procedure. Therefore the present work offers a procedure to increase the accuracy of buckling estimation by performing iteration using the buckling load estimated by previous iteration as a good estimate for the preassumed buckling load.
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