Small-scale analysis of plates with thermoelastic damping based on the modified couple stress theory and the dual-phase-lag heat conduction model

2018 ◽  
Vol 229 (9) ◽  
pp. 3869-3884 ◽  
Author(s):  
Vahid Borjalilou ◽  
Mohsen Asghari
Keyword(s):  
Couple Stress Theory ◽  
Modified Couple Stress Theory ◽  
Small Scale ◽  
Phase Lag ◽  
Dual Phase ◽  
Scale Analysis ◽  
Thermoelastic Damping ◽  
Conduction Model ◽  
Stress Theory ◽  
Modified Couple Stress

Size-dependent in vibration analysis of magnetostrictive sandwich composite micro-plate in magnetic field using modified couple stress theory

2017 ◽  
Vol 21 (2) ◽  
pp. 580-603 ◽  
Author(s):  
A Ghorbanpour Arani ◽  
H Khani Arani ◽  
Z Khoddami Maraghi
Keyword(s):  
Magnetic Field ◽  
Couple Stress Theory ◽  
Composite Fiber ◽  
Modified Couple Stress Theory ◽  
Sandwich Composite ◽  
Small Scale ◽  
Dimensionless Frequency ◽  
Stress Theory ◽  
Fiber Angle ◽  
Modified Couple Stress

In the present study, free vibration of magnetostrictive sandwich composite micro plate with magnetostrictive core and composite face sheets are investigated. The modified couple stress theory is taken into account so as to consider the small scale effects. The surrounding elastic medium is simulated as visco-Pasternak foundation to study the effects of both damping and shear effects. Using energy method, Hamilton’s principle and first-order shear deformation theory, the governing equations of motion and related boundary conditions are obtained. Finally, the differential quadrature method is employed to analysis the vibration of magnetostrictive sandwich composite micro plate. In this regard, the dimensionless frequency are plotted to study the effects of small scale parameter, surrounding elastic medium, magnetic field, composite fiber angle, aspect ratio, thickness ratio, and boundary conditions. The results indicate that the magnetic field and composite fiber angle play a key role in the dimensionless frequency of magnetostrictive sandwich composite micro plate. The obtained results in this article can be used to design sensors and actuators, aerospace industry, and control of vibration response of systems.

Thermoelastic damping in a micro-beam resonator using modified couple stress theory

2012 ◽  
Vol 223 (6) ◽  
pp. 1137-1152 ◽  
Author(s):  
Ghader Rezazadeh ◽  
Armin Saeedi Vahdat ◽  
Saber Tayefeh-rezaei ◽  
Cetin Cetinkaya
Keyword(s):  
Couple Stress ◽  
Couple Stress Theory ◽  
Modified Couple Stress Theory ◽  
Thermoelastic Damping ◽  
Stress Theory ◽  
Beam Resonator ◽  
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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