Free vibration analysis of rotating functionally graded microbeams

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Hosseini Seyyed Mohammad Hossein; ARVIN BOROUJENI HADI; BOTSHEKANAN DEHKORDI MOHSEN

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF MECHANICAL ENGINEERING (ENGLISH) Year:2021 | Volume:23 | Issue:3 Page(s): 152-177

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Title

Free vibration analysis of rotating functionally graded microbeams

Author(s)

Hosseini Seyyed Mohammad Hossein | ARVIN BOROUJENI HADI | BOTSHEKANAN DEHKORDI MOHSEN

Keywords

Rotating microbeams

Functionally graded materials

finite element method

Newton-Raphson method

modeshape

Abstract

The free vibration features of rotating functionally graded microbeams in thermal environmentare presented in this paper. The governing equations are extracted on the basis of the Euler-Bernoulli beam assumptions beside the modified couple stress theory. The finite elementmethod is applied on the weak form of the strain and the kinetic energies to extract the naturalfrequencies and the associated modeshapes. The nonlinear static equations of motion due to therotation and the thermal environment are treated employing the Newton-Raphson technique. Moreover, the natural frequencies are estimated from the linearized equations of motion aboutthe static configuration. After the validation of the present results, the rotation speed, thematerial length scale parameter, the temperature change, the power law exponent and theslenderness ratio impacts on the fundamental natural frequency and the first and the secondmodeshapes are examined. The outcomes indicate the increment of the natural frequency aftera threshold value of the power law exponent depends on a given rotation speed for the rotatingmicrobeams in comparison with the stationary microbeams. Furthermore, the modeshapes ofrotating functionally graded microbeams vary by the power law exponent while for stationaryfunctionally graded microbeams the modeshapes are invariant with respect to the power lawexponent even in the presence of the thermal environment.

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APA: Copy

Hosseini, Seyyed Mohammad Hossein, ARVIN BOROUJENI, HADI, & BOTSHEKANAN DEHKORDI, MOHSEN. (2021). Free vibration analysis of rotating functionally graded microbeams. JOURNAL OF MECHANICAL ENGINEERING (ISME) (IRANIAN JOURNAL OF MECHANICAL ENGINEERING-ENGLISH), 23(3 ), 152-177. SID. https://sid.ir/paper/1035296/en

Vancouver: Copy

Hosseini Seyyed Mohammad Hossein, ARVIN BOROUJENI HADI, BOTSHEKANAN DEHKORDI MOHSEN. Free vibration analysis of rotating functionally graded microbeams. JOURNAL OF MECHANICAL ENGINEERING (ISME) (IRANIAN JOURNAL OF MECHANICAL ENGINEERING-ENGLISH)[Internet]. 2021;23(3 ):152-177. Available from: https://sid.ir/paper/1035296/en

IEEE: Copy

Seyyed Mohammad Hossein Hosseini, HADI ARVIN BOROUJENI, and MOHSEN BOTSHEKANAN DEHKORDI, “Free vibration analysis of rotating functionally graded microbeams,” JOURNAL OF MECHANICAL ENGINEERING (ISME) (IRANIAN JOURNAL OF MECHANICAL ENGINEERING-ENGLISH), vol. 23, no. 3 , pp. 152–177, 2021, [Online]. Available: https://sid.ir/paper/1035296/en

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