The atomic force microscope (AFM) has become an essential tool for imaging the surface topography of conductors and insulators on a microand nanoscale level [1]. In addition, AFM has also been powerful in nanomachining [2]. Cracks may occur in the AFM cantilever during the nanomachining experiments or in the fabrication of cantilever. The cantilever with cracks will affect its performance in us...

The atomic force microscope (AFM) has become an essential tool for the measurement of surface characteristics of diverse materials on a microand nanoscale level [1]. The resolution of measurements for the AFM cantilever is related to its vibration sensitivity. Many researchers have much interest in studying the resonant frequency and sensitivity analysis of AFM cantilevers [2 4]. Cracks may be ...

In this research, the effect of rotation on the free vibration is investigated for the size-dependent cylindrical functionally graded (FG) nanoshell by means of the modified couple stress theory (MCST). MCST is applied to make the design and the analysis of nano actuators and nano sensors more reliable. Here the equations of motion and boundary conditions are derived using minimum potential ene...

Characteristic features of squeeze film lubrication between two rectangular plates, of which, the upper plate has a roughness structure, in the presence of a uniform transverse magnetic field are examined. The fluid in the film region is represented by a viscous, incompressible and electrically conducting couple-stress fluid. The thickness of the fluid film region is h and that of the roughness...

The thermal instability of a layer of a couple-stress fluid acted on by a uniform rotation is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection it is found that rotation has a stabilizing effect, whereas the couple-stress has both stabilizing and destabilizing effects. It is found that the presence of r...