Vibration of functionally graded rotating beams including the effects of nonlocal elasticity

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

AIAA Journal

Publication Status

Version of Record

Abstract

Some exact solutions for rotating inhomogeneous beams including the effects of nonlocal elasticity was studied. Both clamped–clamped and clamped–free boundary conditions are studied. Mode shapes are postulated as fourth-order polynomials satisfying the geometric boundary conditions, whereas the flexural rigidity is expressed in the form of a fourth-order polynomial with unknown coefficients. In the case of clamped–clamped boundary conditions, the semi-inverse method yields closed-form solutions for the entire problem, whereas for the case of clamped–free boundary conditions, a system of nonlinear polynomial equations is derived for the unknown coefficients.

First Page

1480

Last Page

1485

DOI

10.2514/1.J055038

Publication Date

1-1-2017

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