Thermal Effects on Free Vibration of Functionally Graded Curved Timoshenko Nanobeams Resting on Winkler–Pasternak Elastic Foundation

Ghoytasi, I.; Rahmani, O.

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Volume 19, Issue 12 (December 2019) Modares Mechanical Engineering 2019, 19(12): 2865-2875 | Back to browse issues page

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Ghoytasi I, Rahmani O. Thermal Effects on Free Vibration of Functionally Graded Curved Timoshenko Nanobeams Resting on Winkler–Pasternak Elastic Foundation. Modares Mechanical Engineering 2019; 19 (12) :2865-2875
URL: http://mme.modares.ac.ir/article-15-26710-en.html

Thermal Effects on Free Vibration of Functionally Graded Curved Timoshenko Nanobeams Resting on Winkler–Pasternak Elastic Foundation

I. Ghoytasi¹

, O. Rahmani ^*

1- Mechanical Engineering Department, Engineering Faculty, University of Zanjan, Zanjan, Iran
2- Mechanical Engineering Department, Engineering Faculty, University of Zanjan, Zanjan, Iran , rahmani@dena.kntu.ac.ir

Abstract: (6043 Views)

In this paper, the effects of unified temperature loading and Winkler-Pasternak elastic foundation on the vibration of functionally graded curved nanobeam have been studied. The proposed model is based on the modified couple stress theory and the Timoshenko beam model. The continuous distribution of material along the thickness of functionally graded curved nanobeam is achieved by changing the gradient index in the volume fraction. The governing equations and related boundary conditions are obtained using the Hamilton principle. By analyzing the quantitative and qualitative results in the tables and figures, influences of geometrical and thermo-physical parameters such as gradient index, aspect ratio, unified temperature difference, the ratio of thickness to length scale parameter and arc angle of functionally graded curved nanobeam on the natural frequency for different vibration mode have been interpreted. There is an excellent agreement between the present results and the results of the previous works. Applied temperature loading increases the sensitivity of the natural frequency to the changes in the aforementioned parameters and also increases the range of its changes. Also, applying the Pasternak elastic foundation changes the behavior of the natural frequency to the temperature changes.

Keywords: Functionally Graded Curved Nanobeam, Thermal Buckling, Free Vibration, Modified Couple Stress, Winkler–Pasternak Elastic Foundation

Full-Text [PDF 1025 kb] (2298 Downloads)

Article Type: Qualitative Research | Subject: Micro & Nano Systems
Received: 2018/11/1 | Accepted: 2019/05/26 | Published: 2019/12/21

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