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A simple cubic linear element for static and free vibration analyses of curved beams

✍ Scribed by A. Krishnan; Y.J. Suresh

Book ID
104269015
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
626 KB
Volume
68
Category
Article
ISSN
0045-7949

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✦ Synopsis

The eect of shear deformation on deΒ―ection and shear deformation together with rotatory inertia on natural and cross over frequencies of curved beams are obtained using a simple cubic linear beam element having 4 degrees of freedom per node viz u, w, y and g. Studies are carried out on beams with all classical boundary conditions. From the results obtained for static and free vibration problems with dierent curvatures and slenderness ratios, it is seen that this element is suitable to analyse any curved beam problem. Numerical results obtained without including the eect of shear deformation and rotatory inertia are made use of to quantify their eect on the static and free vibration behaviour of curved beams.

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