Physical insight into Timoshenko beam theory and its modification with extension

Senjanović, Ivo and Vladimir, Nikola (2013) Physical insight into Timoshenko beam theory and its modification with extension. = Physical insight into Timoshenko beam theory and its modification with extension. Structural Engineering and Mechanics, 48 (4). pp. 519-545. ISSN 1225-4568. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q3 (2013). Točan broj autora: 2.

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Abstract

An outline of the Timoshenko beam theory is presented. Two differential equations of motion in terms of deflection and rotation are comprised into single equation with deflection and analytical solutions of natural vibrations for different boundary conditions are given. Double frequency phenomenon for simply supported beam is investigated. The Timoshenko beam theory is modified by decomposition of total deflection into pure bending deflection and shear deflection, and total rotation into bending rotation and axial shear angle. The governing equations are condensed into two independent equations of motion, one for flexural and another for axial shear vibrations. Flexural vibrations of a simply supported, clamped and free beam are analysed by both theories and the same natural frequencies are obtained. That fact is proved in an analytical way. Axial shear vibrations are analogous to stretching vibrations on an axial elastic support, resulting in an additional response spectrum, as a novelty. Relationship between parameters in beam response functions of all type of vibrations is analysed.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Axial shear; Double frequency; Flexural vibrations; Timoshenko beam theory; Vibration parameters; Bending (forming); Boundary conditions; Equations of motion; Frequency doublers; Mathematical techniques; Stretching; Particle beams
Subjects: TECHNICAL SCIENCE > Shipbuilding
TECHNICAL SCIENCE > Civil engineering
TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 600 Department of Naval Engineering and Marine Technology > 620 Chair of Marine Structures Design
600 Department of Naval Engineering and Marine Technology > 650 Chair of Marine Machinery and System Design
Indexed in Web of Science: Yes
Indexed in Current Contents: Yes
Quartiles: Q3 (2013)
Date Deposited: 12 May 2015 12:26
Last Modified: 19 Oct 2016 09:06
URI: http://repozitorij.fsb.hr/id/eprint/4016

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