Analytical polynomial solutions for vibrating axially graded beams

Author Type

Faculty

Co-Author Type 1

Outside Researcher

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

Mechanics of Advanced Materials and Structures

Publication Status

Version of Record

Abstract

Vibration and buckling of simply supported axially graded beams, that is, those with inertial coefficient and stiffness, which vary with axial position are discussed. New closed-form solutions are derived for the natural frequency of the beam. The semi-inverse problem of finding the distributions of the stiffness and the inertial term so that the preselected polynomial functions serve as an exact mode shape of the inhomogeneous beam is solved.

First Page

517

Last Page

533

DOI

10.1080/15376490490452669

Publication Date

11-1-2004

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