SEMI-ANALYTICAL APPROACH FOR FREE VIBRATION ANALYSIS OF VARIABLE CROSS-SECTION BEAMS RESTING ON ELASTIC FOUNDATION AND UNDER AXIAL FORCE

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.

MIRZABEIGY A.

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

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF ENGINEERING Year:2014 | Volume:27 | Issue:3 TRANSACTIONS C: ASPECTS Page(s): 385-394

Download Full-Text

View:

404

Download:

124

Cites:

Information Journal Paper

Title

SEMI-ANALYTICAL APPROACH FOR FREE VIBRATION ANALYSIS OF VARIABLE CROSS-SECTION BEAMS RESTING ON ELASTIC FOUNDATION AND UNDER AXIAL FORCE

Author(s)

MIRZABEIGY A. | Issue Writer Certificate

Keywords

VARIABLE CROSS-SECTION BEAM

ELASTIC FOUNDATION

AXIAL FORCE

DIFFERENTIAL TRANSFORM METHOD

Abstract

In this paper, free vibration of an Euler-Bernoulli beam with variable cross-section resting on ELASTIC FOUNDATION and under axial tensile force is considered. Beam’s constant height and exponentially varying width yields variable cross-section. The problem is handled for three different boundary conditions: clamped-clamped, simply supported-simply supported and clamp-free beams. First, the equation of motion that governs the free vibration is derived and then dimensionless frequencies are determined using DIFFERENTIAL TRANSFORM METHOD (DTM). DTM is a semi-analytical approach based on Taylor expansion series that is a powerful tool in solution ordinary and partial differential equations. The effects of AXIAL FORCE, ELASTIC FOUNDATION coefficient and non-uniformity parameter on dimensionless frequencies are investigated. Wherever possible, comparisons are made with the studies in open literature. Results show, the DTM yields rapid convergence without any frequency missing although convergence rate depends on boundary conditions. Also, dimensionless frequencies are sensitive to AXIAL FORCE rather than other parameters.

Cites

No record.

References

No record.

Cite

APA: Copy

MIRZABEIGY, A.. (2014). SEMI-ANALYTICAL APPROACH FOR FREE VIBRATION ANALYSIS OF VARIABLE CROSS-SECTION BEAMS RESTING ON ELASTIC FOUNDATION AND UNDER AXIAL FORCE. INTERNATIONAL JOURNAL OF ENGINEERING, 27(3 TRANSACTIONS C: ASPECTS), 385-394. SID. https://sid.ir/paper/630168/en

Vancouver: Copy

MIRZABEIGY A.. SEMI-ANALYTICAL APPROACH FOR FREE VIBRATION ANALYSIS OF VARIABLE CROSS-SECTION BEAMS RESTING ON ELASTIC FOUNDATION AND UNDER AXIAL FORCE. INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2014;27(3 TRANSACTIONS C: ASPECTS):385-394. Available from: https://sid.ir/paper/630168/en

IEEE: Copy

A. MIRZABEIGY, “SEMI-ANALYTICAL APPROACH FOR FREE VIBRATION ANALYSIS OF VARIABLE CROSS-SECTION BEAMS RESTING ON ELASTIC FOUNDATION AND UNDER AXIAL FORCE,” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 27, no. 3 TRANSACTIONS C: ASPECTS, pp. 385–394, 2014, [Online]. Available: https://sid.ir/paper/630168/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops