FREE VIBRATION ANALYSIS OF NANOPLATES USING DIFFERENTIAL TRANSFORMATION METHOD

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NOURBAKHSH S.H.; BOTSHEKANAN DEHKORDI M.; ATRIAN A.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY Year:2017 | Volume:10 | Issue:1 Page(s): 39-49

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Title

FREE VIBRATION ANALYSIS OF NANOPLATES USING DIFFERENTIAL TRANSFORMATION METHOD

Author(s)

NOURBAKHSH S.H. | BOTSHEKANAN DEHKORDI M. | ATRIAN A. | Issue Writer Certificate

Keywords

DTM

FREE VIBRATION

NANO-PLATE

SEMI-ANALYTICAL

Abstract

In this paper, a FREE VIBRATION of NANO-PLATEs is investigated considering the small scale parameter. The used rectangular NANO-PLATE is thin and under different boundary conditions. In order to obtain the natural frequencies of the NANO-PLATEs, classical plate theory on the basis of non-local theory is used. The governing equation is solved using a SEMI-ANALYTICAL method DTM (Differential transformation method). The results for FREE VIBRATION of those plates are compared with the theoretical data published in the literature. Results show that DTM is a powerful, simple, accurate and fast method for solving equations in comparison with other methods. Non-local parameter is very effective in vibration of NANO-PLATEs and its influence is different in various boundary conditions. Influence of this parameter in simply supported-clamp boundary condition is higher than other boundary conditions.

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APA: Copy

NOURBAKHSH, S.H., BOTSHEKANAN DEHKORDI, M., & ATRIAN, A.. (2017). FREE VIBRATION ANALYSIS OF NANOPLATES USING DIFFERENTIAL TRANSFORMATION METHOD. INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, 10(1), 39-49. SID. https://sid.ir/paper/695832/en

Vancouver: Copy

NOURBAKHSH S.H., BOTSHEKANAN DEHKORDI M., ATRIAN A.. FREE VIBRATION ANALYSIS OF NANOPLATES USING DIFFERENTIAL TRANSFORMATION METHOD. INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY[Internet]. 2017;10(1):39-49. Available from: https://sid.ir/paper/695832/en

IEEE: Copy

S.H. NOURBAKHSH, M. BOTSHEKANAN DEHKORDI, and A. ATRIAN, “FREE VIBRATION ANALYSIS OF NANOPLATES USING DIFFERENTIAL TRANSFORMATION METHOD,” INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, vol. 10, no. 1, pp. 39–49, 2017, [Online]. Available: https://sid.ir/paper/695832/en

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