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

abstract

• 2018 Taylor & Francis Group, LLC. In this article, we present the nonlocal, 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. Nonlocal stress resultants are obtained by employing Eringens 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 nonlocal 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.

authors

• Reddy, Junuthula

published proceedings

• MECHANICS OF ADVANCED MATERIALS AND STRUCTURES

author list (cited authors)

• Preethi, K., Raghu, P., Rajagopal, A., & Reddy, J. N.

citation count

• 35

complete list of authors

• Preethi, K||Raghu, P||Rajagopal, A||Reddy, JN

publication date

• April 2018

publisher

• Taylor & Francis  Publisher

published in

• Mechanics of Advanced Materials and Structures  Journal

keywords

• Finite Element Analysis
• Geometric Nonlinearity
• Nonlocal Parameter
• Numerical Results
• Surface Stress
• Timoshenko Beam

Digital Object Identifier (DOI)

• 10.1080/15376494.2016.1278062

start page

• 439

end page

• 450

volume

• 25

issue

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1080%2F15376494.2016.1278062