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The second strain gradient theory-based Timoshenko beam model

Asghari, M ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1177/1077546315611822
  3. Publisher: SAGE Publications Inc , 2017
  4. Abstract:
  5. The governing equations of motion, together with the associated boundary conditions, are derived for the second strain gradient Timoshenko micro- and nano-beams. The second strain gradient theory is a highly powerful nonclassical continuum theory, capable of capturing the size effects in micro- and nano-scale structures. In case studies, the static and free-vibration behaviors of a hinged-hinged beam are investigated utilizing the presented second strain gradient theory-based Timoshenko beam model. The obtained results are compared with those of the available models in the literature, which are based on the (first) strain gradient theory, the modified couple stress theory, and the classical continuum theory. © The Author(s) 2015
  6. Keywords:
  7. Nano-scale structures ; Nonclassical continuum theories ; Second strain gradient theory ; Timoshenko beam model ; Continuum mechanics ; Equations of motion ; Nanotechnology ; Micro-scale structures ; Nanoscale structure ; Non-classical continuum theories ; Strain gradient theory ; Particle beams
  8. Source: JVC/Journal of Vibration and Control ; Volume 23, Issue 13 , 2017 , Pages 2155-2166 ; 10775463 (ISSN)
  9. URL: http://journals.sagepub.com/doi/10.1177/1077546315611822