Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory

2012 ◽  
Vol 57 (1) ◽  
pp. 63-73 ◽  
Author(s):  
M. Salamat-talab ◽  
A. Nateghi ◽  
J. Torabi
Keyword(s):  
Dynamic Analysis ◽  
Shear Deformation ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Modified Couple Stress Theory ◽  
Third Order ◽  
Stress Theory ◽  
Static And Dynamic Analysis ◽  
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.

Dynamic analysis of carbon nanotubes under electrostatic actuation using modified couple stress theory

2013 ◽  
Vol 225 (6) ◽  
pp. 1523-1535 ◽  
Author(s):  
Mir Masoud Seyyed Fakhrabadi ◽  
Abbas Rastgoo ◽  
Mohammad Taghi Ahmadian ◽  
Mahmoud Mosavi Mashhadi
Keyword(s):  
Carbon Nanotubes ◽  
Dynamic Analysis ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Modified Couple Stress Theory ◽  
Electrostatic Actuation ◽  
Stress Theory ◽  
Modified Couple Stress
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