Vibration of Timoshenko beams using non-classical elasticity theories Academic Article

abstract

• 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.

authors

• Reddy, Junuthula

published proceedings

• SHOCK AND VIBRATION

author list (cited authors)

• Araujo dos Santos, J. V., & Reddy, J. N.

citation count

• 16

complete list of authors

• Santos, JV Araújo dos||Reddy, JN

publication date

• January 2012

publisher

• Hindawi  Publisher

published in

• n1070-9622ISSN  Journal

keywords

• Couple Stress Theory
• Free Vibration
• Nonlocal Elasticity Theory
• Rotary Inertia
• Timoshenko Beam

Digital Object Identifier (DOI)

• 10.1155/2012/307806

URI

• https://hdl.handle.net/1969.1/181677

start page

• 251

end page

• 256

volume

• 19

issue

• 3

URL

• http://dx.doi.org/10.1155/2012/307806