FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED ROTATING DOUBLE TAPERED BEAM BY USING EULER-BERNOULLI BEAM THEORY AND DIFFERENTIAL TRANSFORM METHOD

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EBRAHIMI F.; DASHTI S.

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Journal: Journal of Applied and Computational Sciences in Mechanics Year:2016 | Volume:27 | Issue:1 (13) Page(s): 51-70

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Title

FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED ROTATING DOUBLE TAPERED BEAM BY USING EULER-BERNOULLI BEAM THEORY AND DIFFERENTIAL TRANSFORM METHOD

Author(s)

EBRAHIMI F. | DASHTI S. | Issue Writer Certificate

Keywords

FREE VIBRATIONQ2

FUNCTIONALLY GRADED MATERIALQ2

DIFFERENTIAL TRANSFORM METHODQ2

TAPERED EULER- BERNOULLI BEAMQ2

Abstract

In this study, the FREE VIBRATION analysis of a functionally graded rotating double tapered beam is performed. The analysis is based on Euler-Bernoulli beam theory. The Material properties of the beam vary continuously in the thickness direction according to the power-law function. The governing differential equation of motion is derived using the Hamilton’s principle. Natural frequencies are obtained using differential transformation (DTM) technique. The effects of the taper ratios, no dimensional rotational speed, no dimensional hub radius and material volume fraction index on the natural frequencies are discussed. Numerical results are tabulated in several tables and figures. To verify the present analysis, the results of this study are compared with the available results from the existing literature. It is shown that the natural frequencies of a functionally graded rotating double tapered Euler-Bernoulli beam can be obtained with high accuracy by using DTM. It was observed that no dimensional rotational speed, height taper ratio and power-law exponent significantly affect the natural frequency. The effects of hub radius and breadth taper ratio on the natural frequencies are negligible.

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APA: Copy

EBRAHIMI, F., & DASHTI, S.. (2016). FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED ROTATING DOUBLE TAPERED BEAM BY USING EULER-BERNOULLI BEAM THEORY AND DIFFERENTIAL TRANSFORM METHOD. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), 27(1 (13)), 51-70. SID. https://sid.ir/paper/196313/en

Vancouver: Copy

EBRAHIMI F., DASHTI S.. FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED ROTATING DOUBLE TAPERED BEAM BY USING EULER-BERNOULLI BEAM THEORY AND DIFFERENTIAL TRANSFORM METHOD. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2016;27(1 (13)):51-70. Available from: https://sid.ir/paper/196313/en

IEEE: Copy

F. EBRAHIMI, and S. DASHTI, “FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED ROTATING DOUBLE TAPERED BEAM BY USING EULER-BERNOULLI BEAM THEORY AND DIFFERENTIAL TRANSFORM METHOD,” JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), vol. 27, no. 1 (13), pp. 51–70, 2016, [Online]. Available: https://sid.ir/paper/196313/en

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