Flexural vibration characteristics of micro-rotors based on the strain gradient theory

Asghari, M ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1142/S1758825115500751
  3. Publisher: World Scientific Publishing Co. Pte Ltd , 2015
  4. Abstract:
  5. In this paper, the coupled three-dimensional flexural vibration of micro-rotors is investigated by taking into account the small-scale effects utilizing the strain gradient theory, which is a powerful nonclassical continuum theory in capturing small-scale effects. A micro-rotor consists mainly of a flexible micro-rotating shaft and a disk. With the aid of Hamilton's principle, governing equations of motion are derived and then transformed to the complex form. By implementing the Galerkin's method, a coupled ordinary differential equation is attained for the system. Expressions for the first two natural frequencies of the spinning micro-rotors are obtained with truncated two-term equation. Parametric studies on the results for different responses illustrate that the values of higher-order material constants may have significant effects on the natural frequencies of the system
  6. Keywords:
  7. Micro-rotors ; Small-scale structures ; Continuum mechanics ; Differential equations ; Galerkin methods ; Natural frequencies ; Ordinary differential equations ; Flexural vibrations ; Governing equations of motion ; Hamilton's principle ; Material constant ; Non-classical continuum theories ; Parametric study ; Small scale effects ; Strain gradient theory ; Equations of motion
  8. Source: International Journal of Applied Mechanics ; Volume 7, Issue 5 , October , 2015 ; 17588251 (ISSN)
  9. URL: http://www.worldscientific.com/doi/10.1142/S1758825115500751