Vibration of Timoshenko Beams Using Non-classical Elasticity Theories | Zendy

J.V. Araújo dos Santos | Zendy; J. N. Reddy | Zendy

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Vibration of Timoshenko Beams Using Non-classical Elasticity Theories

Author(s) -

J.V. Araújo dos Santos,

J. N. Reddy

Publication year - 2012

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2012/307806

Subject(s) - timoshenko beam theory , vibration , elasticity (physics) , inertia , rotary inertia , natural frequency , beam (structure) , classical mechanics , physics , mathematics , mathematical analysis , optics , acoustics , thermodynamics

This paper presents a comparison among classical elasticity, nonlocal elasticity, and modified couple stress theories for free vibration analysis of Timoshenko beams. A study of the influence of rotary inertia and nonlocal parameters on fundamental and higher natural frequencies is carried out. The nonlocal natural frequencies are found to be lower than the classical ones, while the natural frequencies estimated by the modified couple stress theory are higher. The modified couple stress theory results depend on the beam cross-sectional size while those of the nonlocal theory do not. Convergence of both non-classical theories to the classical theory is observed as the beam global dimension increases.

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