Vol. 14, No. 4, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 5, 747–835
Issue 4, 541–746
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 1559-3959 (online)
ISSN 1559-3959 (print)
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
The effect of boundary conditions on the lowest vibration modes of strongly inhomogeneous beams

Onur Şahin

Vol. 14 (2019), No. 4, 569–585
Abstract

This paper investigates the influence of the boundary conditions on the lowest vibration modes of strongly inhomogeneous beams. It is observed that the softer component of the composite beams asymptotically contributes to an almost rigid-body motion of the stiffer parts and gives rise to one or two nonzero eigenfrequencies contrary to a single beam with free end conditions. An asymptotic procedure is employed to derive the eigenfrequencies as well as the eigenforms in the case of global low frequency regime. The developed model is adapted for two and three-component beams with different end conditions. It is also shown that all eigenforms corresponding to the stiffer components of the beams perform almost rigid body motions. Comparisons of exact and approximate solutions are presented, demonstrating the validity of the proposed approach.

PDF Access Denied

We have not been able to recognize your IP address 18.97.14.89 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 45.00:

Keywords
composite beam, low frequency vibration, contrast, perturbation, rigid body motion
Milestones
Received: 18 July 2019
Revised: 13 September 2019
Accepted: 28 October 2019
Published: 13 December 2019
Authors
Onur Şahin
Department of Mathematics
Giresun University
Güre Campus
Giresun
Turkey