Semi-inverse method for axially functionally graded beams with an anti-symmetric vibration mode

Authors

• Lei Wu, Anqing Normal University
• Qi Shen Wang, Anqing Normal University
• Isaac Elishakoff, Florida Atlantic University

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

Journal of Sound and Vibration

Publication Status

Version of Record

Abstract

In this paper, we use the semi-inverse method to find the solutions to the dynamic equation of inhomogeneous, functionally graded simply supported beams. For the anti-symmetric mode and the material density (or the Young's modulus) that are both polynomial functions and and have been pre-specified, we find the Young's modulus (or the density) in polynomial functions and determine the closed from expression for the natural frequency. © 2004 Elsevier Ltd. All rights reserved.

First Page

1190

Last Page

1202

DOI

10.1016/j.jsv.2004.08.038

Publication Date

6-21-2005

Recommended Citation

Wu, Lei; Wang, Qi Shen; and Elishakoff, Isaac, "Semi-inverse method for axially functionally graded beams with an anti-symmetric vibration mode" (2005). Faculty Scholarship. 425.
https://digitalcommons.fau.edu/faculty_papers/425