Turning around a method of successive iterations to yield closed-form solutions for vibrating inhomogeneous bars

Authors

• Isaac Elishakoff, Florida Atlantic University
• Menahem Baruch, Technion - Israel Institute of Technology
• Roland Becquet, Institut Français de Mécanique Avancée

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

Meccanica

Publication Status

Version of Record

Abstract

The method of successive approximations was used to obtain closed form solutions for vibrating inhomogeneous bars. Bars of specified material density, stiffness and axial loading were considered. The spatial variation of the inertial coefficient of the bars, in order to possess pre-selected mode shape and stiffness distribution, was obtained. Results showed that the inertial coefficient constituted of a positive valued function along the axis of the bar.

First Page

573

Last Page

586

DOI

10.1023/A:1015645024617

Publication Date

12-1-2001

Recommended Citation

Elishakoff, Isaac; Baruch, Menahem; and Becquet, Roland, "Turning around a method of successive iterations to yield closed-form solutions for vibrating inhomogeneous bars" (2001). Faculty Scholarship. 451.
https://digitalcommons.fau.edu/faculty_papers/451