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Size-dependent vibrational behavior of a Jeffcott model for micro-rotor systems

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Abstract

In this study, several analytical expressions are obtained for the vibrational characteristics of a Jeffcott model for micro-rotor systems based on the strain gradient theory to investigate the small-scale effects on the model. The Jeffcott model consists of a massless microrotating shaft and a disk as a rotor with eccentricity. The disk is mounted on the middle of the shaft. Two second-order differential equations associated with the oscillating motion of the rotor in the plane perpendicular to the longitudinal axis are presented and transformed into a complex form. The stiffness of the system is determined by obtaining the deflection of a strain-gradient-based nonrotating microbeam subjected to a concentrated force at the rotor position. Numerical results illustrate the effect of higher-order material constants on the natural frequency and the response of the Jeffcott micro-rotor system with eccentricity.

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Authors and Affiliations

  1. Mechanical Engineering Department, Sharif University of Technology, Azadi Avenue, Tehran, Iran

    Mehdi Hashemi & Mohsen Asghari

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  1. Mehdi Hashemi
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  2. Mohsen Asghari
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Correspondence to Mohsen Asghari.

Additional information

Mehdi Hashemi received his B.Sc. and M.Sc. degrees in Mechanical Engineering from the Khajeh Nasir Toosi University of Technology and Sharif University of Technology Tehran, Iran, in 2008 and 2010, respectively. In September 2011, he started his Ph.D. program in Mechanical Engineering at the Sharif University of Technology. His research interests include vibration and stability analyses of structures and systems, as well as the design and analysis of microelectromechanical systems.

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Hashemi, M., Asghari, M. Size-dependent vibrational behavior of a Jeffcott model for micro-rotor systems. J Mech Sci Technol 30, 35–41 (2016). https://doi.org/10.1007/s12206-015-1204-9

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  • DOI: https://doi.org/10.1007/s12206-015-1204-9

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