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A SHEAR LOCKING-FREE BEAM FINITE ELEMENT BASED ON THE MODIFIED TIMOSHENKO BEAM THEORY

Ivo Senjanović ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Nikola Vladimir orcid id orcid.org/0000-0001-9164-1361 ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Dae Seung Cho orcid id orcid.org/0000-0002-2555-1103 ; Pusan National University, Dept. of Naval Architecture and Ocean Engineering, Busan, Korea


Puni tekst: engleski pdf 865 Kb

str. 1-16

preuzimanja: 2.671

citiraj


Sažetak

An outline of the Timoshenko beam theory is presented. Two differential equations of motion in terms of deflection and cross-section rotation are comprised in one equation and analytical expressions for displacements and sectional forces are given. Two different displacement fields are recognized, i.e. flexural and axial shear, and a modified beam theory with extension is worked out. Flexural and axial shear locking-free beam finite elements are developed. Reliability of the finite elements is demonstrated with numerical examples for a simply supported, clamped and free beam by comparing the obtained results with analytical solutions.

Ključne riječi

Timoshenko beam theory; modified beam theory; flexural vibrations; axial shear vibrations; beam finite element; shear locking

Hrčak ID:

116188

URI

https://hrcak.srce.hr/116188

Datum izdavanja:

13.2.2014.

Posjeta: 3.285 *