STABILITY ANALYSIS OF A BEAM UNDER THE EFFECT OF MOVING MASSES USING HOMOTOPY PERTURBATION METHOD

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

GHOMESHI BOZORG M.; KESHMIRI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL) Year:2015 | Volume:34 | Issue:1 Page(s): 79-95

Download Full-Text

Persian Verion

View:

824

Download:

Cites:

Information Journal Paper

Title

STABILITY ANALYSIS OF A BEAM UNDER THE EFFECT OF MOVING MASSES USING HOMOTOPY PERTURBATION METHOD

Author(s)

GHOMESHI BOZORG M. | KESHMIRI M. | Issue Writer Certificate

Keywords

BEAM-MOVING MASSQ2

HOMOTOPY PERTURBATION METHODQ2

DYNAMIC STABILITYQ2

RESONANT CONDITIONSQ2

Abstract

In this paper, considering all the linear and nonlinear inertia terms of moving masses on a flexible beam, the dynamic response and DYNAMIC STABILITY of the beam are studied. HOMOTOPY PERTURBATION METHOD is used to perform the analysis and results are provided in a stability map for the different values of mass and velocity of the moving masses. It is concluded that there is a borderline in the diagram that separates the stable and unstable regions. For the first time, this borderline is determined semi-analytically. Results of the stability analysis are validated using the Floquet theory. In addition to this borderline, it is also concluded that the HOMOTOPY PERTURBATION METHOD is capable of evaluating the new critical values for mass and velocity which cause vibration resonance in the beam. The locus of these resonant points, which is totally a new finding in dynamic analysis of BEAM-MOVING MASS problem, is determined semi-analytically. Finally, the effect of the friction between the beam and the moving mass is studied on the stability of the system and RESONANT CONDITIONS. Accuracy of the results for this case is also evaluated with a numerical simulation.

Cites

No record.

References

No record.

Cite

APA: Copy

GHOMESHI BOZORG, M., & KESHMIRI, M.. (2015). STABILITY ANALYSIS OF A BEAM UNDER THE EFFECT OF MOVING MASSES USING HOMOTOPY PERTURBATION METHOD. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), 34(1), 79-95. SID. https://sid.ir/paper/173585/en

Vancouver: Copy

GHOMESHI BOZORG M., KESHMIRI M.. STABILITY ANALYSIS OF A BEAM UNDER THE EFFECT OF MOVING MASSES USING HOMOTOPY PERTURBATION METHOD. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL)[Internet]. 2015;34(1):79-95. Available from: https://sid.ir/paper/173585/en

IEEE: Copy

M. GHOMESHI BOZORG, and M. KESHMIRI, “STABILITY ANALYSIS OF A BEAM UNDER THE EFFECT OF MOVING MASSES USING HOMOTOPY PERTURBATION METHOD,” JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), vol. 34, no. 1, pp. 79–95, 2015, [Online]. Available: https://sid.ir/paper/173585/en

Related Journal Papers