Free Lateral Vibration Analysis of Inhomogeneous Beams Under Various Boundary Conditions

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.

Ebrahimi Mamaghanie A.; HOSSEINI R.; Shahgholi M.; SARPARAST H.

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

Journal Paper

Paper Information

Journal: JOURNAL OF SOLID AND FLUID MECHANICS Year:2018 | Volume:8 | Issue:3 Page(s): 123-135

Download Full-Text

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

Persian Verion

View:

361

Download:

Cites:

Information Journal Paper

Title

Free Lateral Vibration Analysis of Inhomogeneous Beams Under Various Boundary Conditions

Author(s)

Ebrahimi Mamaghanie A. | HOSSEINI R. | Shahgholi M. | SARPARAST H. | Issue Writer Certificate

Keywords

Axial Inhomogeneous BeamsQ1

Exponential Functionally Graded MaterialsQ1

Characteristic EquationQ1

Fundamental Natural FrequencyQ1

Jump PhenomenonQ1

Abstract

In this paper, free lateral vibration of exponentially functionally graded beams is studied. For these inhomogeneous axial beams, Characteristic Equations in closed form are derived under various boundary conditions. The frequency and Characteristic Equations convert to analytical classical Euler-Bernoulli beams equations with ignoring gradient index. In addition, variation of mode shapes of the structure in terms of gradient parameter is demonstrated and compared with isotropic materials. In order to comparison and validation, the obtained results were compared with other available references. The results show that the natural frequency of the beams and mode shapes of the systems are strongly dependent to end conditions and gradient index. Furthermore, for functionally graded beams, there exists a critical frequency which leads to Jump Phenomenon in frequency spectrum so that harmonic vibration occurs in frequencies higher than the critical value and in frequencies lower than the critical value or pseudo-frequency, non-propagating fields occur. This feature does not exist in homogeneous beams. The presented results can be used for beams with exponentially decaying width and constant thickness. Moreover, the minimum frequency of the considered systems is helpful for engineers to design optimum non-uniform structures.

Cites

No record.

References

No record.

Cite

APA: Copy

Ebrahimi Mamaghanie, A., HOSSEINI, R., Shahgholi, M., & SARPARAST, H.. (2018). Free Lateral Vibration Analysis of Inhomogeneous Beams Under Various Boundary Conditions. JOURNAL OF SOLID AND FLUID MECHANICS, 8(3 ), 123-135. SID. https://sid.ir/paper/409422/en

Vancouver: Copy

Ebrahimi Mamaghanie A., HOSSEINI R., Shahgholi M., SARPARAST H.. Free Lateral Vibration Analysis of Inhomogeneous Beams Under Various Boundary Conditions. JOURNAL OF SOLID AND FLUID MECHANICS[Internet]. 2018;8(3 ):123-135. Available from: https://sid.ir/paper/409422/en

IEEE: Copy

A. Ebrahimi Mamaghanie, R. HOSSEINI, M. Shahgholi, and H. SARPARAST, “Free Lateral Vibration Analysis of Inhomogeneous Beams Under Various Boundary Conditions,” JOURNAL OF SOLID AND FLUID MECHANICS, vol. 8, no. 3 , pp. 123–135, 2018, [Online]. Available: https://sid.ir/paper/409422/en

Related Journal Papers