Inhomogeneous beams possessing an exponential mode shape

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Mechanics Research Communications

Publication Status

Version of Record

Abstract

In this study inhomogeneous beams which posses exponential fundamental mode shapes are constructed. Closed-form solutions are derived for five cases of boundary conditions: (a) a beam with two free edges, (b) a cantilevered beam, (c) a beam that is clamped at both ends, (d) a simply supported beam and (e) a beam that is clamped at one end and simply supported at the other. The solutions can be utilized for axially varying the moment of inertia of the cross-section and/or functionally grading the material's modulus of elasticity in order to construct beams with prescribed vibration modes. © 2010 Elsevier B.V. All rights reserved.

First Page

417

Last Page

426

DOI

10.1016/j.mechrescom.2010.04.003

Publication Date

6-1-2010

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