NONLINEAR VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAM ON WINKLER-PASTERNAK FOUNDATION UNDER MECHANICAL AND THERMAL LOADING VIA HOMOTOPY ANALYSIS 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.

RAFIEIPOUR H.; LOTFAVAR A.; HAMZE SHALAMZARI S.

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

Journal Paper

Paper Information

Journal: Modares Mechanical Engineering Year:2013 | Volume:12 | Issue:5 Page(s): 87-101

Download Full-Text

Persian Verion

View:

1,726

Download:

Cites:

Information Journal Paper

Title

NONLINEAR VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAM ON WINKLER-PASTERNAK FOUNDATION UNDER MECHANICAL AND THERMAL LOADING VIA HOMOTOPY ANALYSIS METHOD

Author(s)

RAFIEIPOUR H. | LOTFAVAR A. | HAMZE SHALAMZARI S. | Issue Writer Certificate

Keywords

NONLINEAR VIBRATIONQ2

WINKLERQ2

PASTERNAK FOUNDATIONQ2

FUNCTIONALLY GRADED BEAMQ2

EULERQ2

BERNOULLI THEORYQ2

HOMOTOPY ANALYSIS METHODQ2

Abstract

In this paper, the HOMOTOPY ANALYSIS METHOD is used to nonlinear free vibration analysis of a mechanical and thermal loaded FUNCTIONALLY GRADED BEAM on nonlinear elastic foundation. At first, the governing partial differential equation of the problem has been derived based on the EULER-Bernoulli theory and the Von-Karman strain-displacement relationship. Then, it was reduced to a nonlinear ordinary differential equation via the Galerkin method. The HOMOTOPY ANALYSIS METHOD which has high accuracy was implemented in order to obtain a closed form solution and study the problem parametrically. The accuracy of the proposed method is verified by those available in literatures. The numerical results demonstrate that proposed method yields a very rapid convergence of the solution as well as low computational effort. Finally, the effects of different parameters such as amplitude, linear and nonlinear elastic foundation, thermal and mechanical loads and boundary conditions were investigated on the beam vibration and their results are presented for future work.

Cites

NONLINEAR VIBRATION ANALYSIS OF THE BEAM CARRYING A MOVING MASS USING MODIFIED HOMOTOPY

References

No record.

Cite

APA: Copy

RAFIEIPOUR, H., LOTFAVAR, A., & HAMZE SHALAMZARI, S.. (2013). NONLINEAR VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAM ON WINKLER-PASTERNAK FOUNDATION UNDER MECHANICAL AND THERMAL LOADING VIA HOMOTOPY ANALYSIS METHOD. MODARES MECHANICAL ENGINEERING, 12(5), 87-101. SID. https://sid.ir/paper/178021/en

Vancouver: Copy

RAFIEIPOUR H., LOTFAVAR A., HAMZE SHALAMZARI S.. NONLINEAR VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAM ON WINKLER-PASTERNAK FOUNDATION UNDER MECHANICAL AND THERMAL LOADING VIA HOMOTOPY ANALYSIS METHOD. MODARES MECHANICAL ENGINEERING[Internet]. 2013;12(5):87-101. Available from: https://sid.ir/paper/178021/en

IEEE: Copy

H. RAFIEIPOUR, A. LOTFAVAR, and S. HAMZE SHALAMZARI, “NONLINEAR VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAM ON WINKLER-PASTERNAK FOUNDATION UNDER MECHANICAL AND THERMAL LOADING VIA HOMOTOPY ANALYSIS METHOD,” MODARES MECHANICAL ENGINEERING, vol. 12, no. 5, pp. 87–101, 2013, [Online]. Available: https://sid.ir/paper/178021/en

Related Journal Papers