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Curved beam finite elements for coupled bending and torsional vibration (1972)

Davis, R. ; Henshell, R. D. ; Warburton, G. B.

Wiley

In: Earthquake Engineering and Structural Dynamics. 1972; 1(2): 165-175. Published 1972 Jan 01. doi: 10.1002/eqe.4290010205.

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Publication Date: 1972-01-01

Description: Curved beam finite elements are presented for out of plane coupled bending and torsional vibration. The element formulation is based upon the exact differential equations of an infinitesimal element in static equilibrium. The effects of shear deformation and rotary inertia are allowed for in the analysis. The element stiffness and mass matrices can be easily restricted to those of a ‘thin’ beam without the secondary effects. Frequencies obtained using either formulation are shown to converge onto exact values using ‘thick’ or ‘thin’ beam theories. Copyright © 1972 John Wiley & Sons, Ltd

Print ISSN: 0098-8847

Electronic ISSN: 1096-9845

Topics: Architecture, Civil Engineering, Surveying

Published by Wiley

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