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A C0 finite element formulation for thin-walled beams

โœ Scribed by Hong Chen; George E. Blandford

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
748 KB
Volume
28
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Timoshenko's and Vlasov's beam theories are combined to produce a Co finite element formulation for arbitrary cross section thin-walled beams. Section properties are generated using a curvilinear co-ordinate system to describe the cross section dimensions. The element includes both shear and warping deformations caused by the bending moments and the bimoment. A Gauss quadrature order is employed which exactly integrates the bending and warping stiffness matrices and provides a reduced integration order for the shear stiffness matrices. Numerical results are presented for a channel section cantilever beam. The influence of shear deformation is investigated and the calculated results are shown to be in excellent agreement with the classical solutions.

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