A new shear deformation model with modified couple stress theory for microplates

2015 ◽  
Vol 226 (8) ◽  
pp. 2773-2788 ◽  
Author(s):  
H. Darijani ◽  
A. H. Shahdadi
Keyword(s):  
Shear Deformation ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Modified Couple Stress Theory ◽  
Deformation Model ◽  
Stress Theory ◽  
Modified Couple Stress

scholarly journals Free Vibration Analysis of Shear Deformable Small-Scale Tubes

2020 ◽  
Vol 3 (1) ◽  
pp. 418-427
Author(s):  
Reza Aghazadeh
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Free Vibration Analysis ◽  
Modified Couple Stress Theory ◽  
Small Scale ◽  
Tube Model ◽  
Stress Theory ◽  
Modified Couple Stress

This study presents an approach for investigating free vibration problem of small-scale tubes based on modified couple stress theory in conjunction with higher order shear deformation tube model. The size effect is captured through utilization of a length scale parameter involved in modified couple stress theory. A newly developed refined tube model is employed to satisfy friction-free conditions on inner and outer surfaces of micro-tubes. Hamilton’s principle is used as a variational technique for derivation of governing system of equations. For axial vibrations, an analytical procedure is conducted, while for transverse vibrations differential quadrature method is used as a numerical technique. The correctness of numerical results are verified through comparisons made with results which are available in the literature for limiting cases. The analyses reveal the effects of size and transverse shear deformation on the natural frequencies of micro-tubes.

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