A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring 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.

Hosen Md. Alal; ISMAIL G.M.; YILDIRIM A.; Kamal M.A.S.

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

Journal Paper

Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2020 | Volume:6 | Issue:2 Page(s): 320-331

Download Full-Text

View:

132

Download:

Cites:

Information Journal Paper

Title

A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force

Author(s)

Hosen Md. Alal | ISMAIL G.M. | YILDIRIM A. | Kamal M.A.S. | Issue Writer Certificate

Keywords

Analytical technique

Strongly nonlinear oscillator

Nonlinear algebraic equations

Energy balance method

Iterative procedure

Homotopy perturbation method

Abstract

This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the modified energy balance method (MEBM). The proposed method incorporates higher-order approximations. After applying the proposed MEBM, a set of complicated higher-order nonlinear algebraic equations are obtained. Higher-order nonlinear algebraic equations are cumbersome to investigate especially in the case of a large initial oscillation amplitude. This limitation is overcome in the proposed method by using the iterative procedure based on the homotopy perturbation method. The approximated results agree well with the numerically obtained exact solutions. These third-order approximate solutions are found to be almost the same as exact solutions, which cannot be found using the existing energy balance method. Highly accurate result and simple solution procedure are advantages of this proposed method, which could be applied to other nonlinear oscillatory problems arising in nonlinear science and engineering.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

Hosen, Md. Alal, ISMAIL, G.M., YILDIRIM, A., & Kamal, M.A.S.. (2020). A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 6(2), 320-331. SID. https://sid.ir/paper/353275/en

Vancouver: Copy

Hosen Md. Alal, ISMAIL G.M., YILDIRIM A., Kamal M.A.S.. A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2020;6(2):320-331. Available from: https://sid.ir/paper/353275/en

IEEE: Copy

Md. Alal Hosen, G.M. ISMAIL, A. YILDIRIM, and M.A.S. Kamal, “A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 6, no. 2, pp. 320–331, 2020, [Online]. Available: https://sid.ir/paper/353275/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops