VARIATIONAL FORMULATION FOR TIMOSHENKO BEAM ELEMENT BY SEPARATION OF DEFORMATION MODE

Authors
LEE SS KOO JS CHOI JM
Citation
Ss. Lee et al., VARIATIONAL FORMULATION FOR TIMOSHENKO BEAM ELEMENT BY SEPARATION OF DEFORMATION MODE, Communications in numerical methods in engineering, 10(8), 1994, pp. 599-610
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
10
Issue
8
Year of publication
1994
Pages
599 - 610
Database
ISI
SICI code
1069-8299(1994)10:8<599:VFFTBE>2.0.ZU;2-7
Abstract
A variational formulation for a Timoshenko beam element is derived by the separation of the deformation mode into the bending deflection and shear deflection. Shear deflection is projected into bending deflecti on and the projection matrix is constructed by using the equilibrium e quation and the relation of force and displacement. The exact stiffnes s matrix of the Timoshenko beam element can be obtained by the present method. Examples are solved in order to show the effectiveness of the beam element in comparison with other elements.