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

Hashemi, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1007/s12206-015-1204-9
  3. Publisher: Korean Society of Mechanical Engineers
  4. Abstract:
  5. 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
  6. Keywords:
  7. Jeffcott micro-rotor system ; Analytical expressions ; Micro rotors ; Rotor dynamic ; Second-order differential equation ; Small scale effects ; Small-scale structures ; Strain gradient theory ; Vibrational behavior ; Differential equations
  8. Source: Journal of Mechanical Science and Technology ; Volume 30, Issue 1 , 2016 , Pages 35-41 ; 1738494X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s12206-015-1204-9