The effect of environmental factors on critical force and time of 3D nanomanipulation using Sobol statistical sensitivity analysis method

To have a precise calculation of critical force and time of nano-manipulation, the effect of the different input factors on output parameters should be investigated. One of the exact sensitivity analysis methods is the statistical Sobol method. In this paper for the first time, the effect of the six environmental factors including cantilever elasticity module, cantilever Poison’s ratio, particle’s elasticity module, particle’s Poison’s ratio, surface energy and adhesion work have been investigated on eight output parameters including critical sliding force along x-axis, rolling about x-axis, sliding along y-axis, rolling about y-axis, and critical times of sliding along x-axis, rolling about x-axis, sliding along y-axis and rolling about y-axis, in 3D nano-manipulation based on Sobol statistical method. The final results of this paper showed that the cantilever elasticity module is the most effective factor on critical force and cantilever Poison’s ratio is the most effective one on critical time in 3D nano-manipulation.