Nonlocal nonlinear bending and free vibration analysis of a rotating laminated nano cantilever beam

Preethi, K and Raghu, P and Amirtham, Rajagopal and Reddy, J N (2017) Nonlocal nonlinear bending and free vibration analysis of a rotating laminated nano cantilever beam. Mechanics of Advanced Materials and Structures. 0-0. ISSN 1537-6494 (In Press)

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Abstract

In this paper, we present the non-local nonlinear finite element formulations for the case of nonuniform rotating laminated nano cantilever beams using the Timoshenko beam theory. The surface stress effects are also taken into consideration. Non-local stress resultants are obtained by employing Eringen's nonlocal differential model. Geometric nonlinearity is taken into account by using the Green Lagrange strain tensor. Numerical solutions of nonlinear bending and free vibration are presented. Parametric studies have been carried out to understand the effect of non-local parameter and surface stresses on bending and vibration behavior of cantilever beams. Also, the effects of angular velocity and hub radius on the vibration behavior of the cantilever beam are studied.

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IITH Creators:
IITH CreatorsORCiD
Amirtham, RajagopalUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Timoshenko beam, nonlocal parameter, surface stress, geometric non-linearity, finite element analysis, numerical results
Subjects: Civil Engineering > Soil Structure Interaction
Divisions: Department of Civil Engineering
Depositing User: Team Library
Date Deposited: 16 Jan 2017 06:17
Last Modified: 29 Aug 2017 10:22
URI: http://raiith.iith.ac.in/id/eprint/2998
Publisher URL: https://doi.org/10.1080/15376494.2016.1278062
OA policy: http://www.sherpa.ac.uk/romeo/issn/1537-6494/
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