New closed-form solutions for functionally graded longitudinally vibrating bar

Author Type

Faculty

Co-Author Type 1

Faculty

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

ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik

Publication Status

Version of Record

Abstract

In this paper we present new closed-form solutions for functionally graded longitudinally vibrating bar. The modulus of elasticity is represented as a continuous function varying along the axial coordinate. It is postulated that the mode shape represents the sixth order polynomial. Six closed form solutions are presented: four for clamped-clamped bar, and two for clamped-free bar.

First Page

1554

Last Page

1566

DOI

10.1002/zamm.201700104

Publication Date

9-1-2018

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