Consistent Mass and Exact Displacement Shape Function for a Tapered

Engineers Australia
Publication Type:
Conference Proceeding
Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007), 2007, 2 pp. 420 - 425
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The principle of virtual force is employed to derive the exact shape function for a taperedcurved frame element in space and these shape functions ca n be employed to calculate the exact consistent mass and geometric stiffness matrixes for curved-tapered frame elements. The lack of any displacement shape function with exact fulfilment of equilibrium equations by an accurate force interpolation is the salient feature of this approach. The formulation adopts the linear elastic behaviour of the material and the strain compatibility is satisfied based on the Nevier-Bernoulli hypothesis. Shear deformations are considered and the Saint-Venat hypothesis for torsion is adopted. The efficiency and accuracy of the formulation are verified using some numerical examples.
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