FREE VIBRATION OF MICRO ROTATING EULER-BERNOULLI BEAMS BASED ON THE STRAIN GRADIENT THEORY

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ARVIN BOROUJENI HADI

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Journal: Modares Mechanical Engineering Year:2016 | Volume:16 | Issue:2 Page(s): 120-128

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Information Journal Paper

Title

FREE VIBRATION OF MICRO ROTATING EULER-BERNOULLI BEAMS BASED ON THE STRAIN GRADIENT THEORY

Author(s)

ARVIN BOROUJENI HADI | Issue Writer Certificate

Keywords

MICRO ROTATING BEAMSQ1

EULER-BERNOULLI BEAMSQ1

STRAIN GRADIENT THEORYQ2

POISSON'S COEFFICIENTQ1

Abstract

In this paper, free vibration of rotating microbeams based on the STRAIN GRADIENT THEORY and Euler-Bernoulli beam assumptions is investigated. The Hamilton's Principle is applied on the attained strain and kinetic energy relations to obtain the equations of motion for the rotating microbeam. Then, by employing the adimensional parameters, the nondimensional form of the equations of motion is derived.After that, by applying the Galerkin approach on the dynamic equations of motion, the flapping and axial natural frequencies are calculated. Subsequently, the current results are validated by the existed papers results. After validation of the present results, the effects of the thickness to the material length scale parameter ratio, rotation speed and POISSON'S COEFFICIENT on the flapping and axial frequencies are studied and the STRAIN GRADIENT THEORY results are compared with the modified couple stress and classical theories. The results show that the type of theory that is appointed has essential effects on the predicted natural frequencies. The effect of rotation speed on the possibility of the occurrence of internal resonances is also examined. In addition, for the first time, the effect of different mentioned theories on the axial natural frequencies are inspected. The presented results illustrate that, by considering the STRAIN GRADIENT THEORY, varying the POISSON'S COEFFICIENT changes the axial frequencies, while the modified couple stress and classical theories are ineffectual in predicting any variations on the axial frequencies and the mentioned theories predict the same results for axial frequencies.

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APA: Copy

ARVIN BOROUJENI, HADI. (2016). FREE VIBRATION OF MICRO ROTATING EULER-BERNOULLI BEAMS BASED ON THE STRAIN GRADIENT THEORY. MODARES MECHANICAL ENGINEERING, 16(2), 120-128. SID. https://sid.ir/paper/178838/en

Vancouver: Copy

ARVIN BOROUJENI HADI. FREE VIBRATION OF MICRO ROTATING EULER-BERNOULLI BEAMS BASED ON THE STRAIN GRADIENT THEORY. MODARES MECHANICAL ENGINEERING[Internet]. 2016;16(2):120-128. Available from: https://sid.ir/paper/178838/en

IEEE: Copy

HADI ARVIN BOROUJENI, “FREE VIBRATION OF MICRO ROTATING EULER-BERNOULLI BEAMS BASED ON THE STRAIN GRADIENT THEORY,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 2, pp. 120–128, 2016, [Online]. Available: https://sid.ir/paper/178838/en

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