Quantitative and qualitative investigation of the effective parameters on Hk friction model in the first phase of manipulation gold nano particles based on atomic force microscope

At the micro/nano scale, friction and adhesion are of great importance. Therefore, the use of friction models such as the HK friction model can help the accuracy of the results obtained from the simulation of the manipulation of nanoparticles. The first phase of moving nanoparticles includes the calculation of force and critical time. Accurate calculation of the critical force causes no damage to the tissue and accurate calculation of the critical time causes accurate manipulation of the nanoparticle. In this research, in order to investigate the effect of HK friction model parameters on reducing the critical force and increasing the critical time in manipulation gold nano particles, Taguchi method and sensitivity analysis by E-fast method were used. The input parameters of HK friction model include 1f  , 2f  , B and M. According to the obtained results, it was observed that the most effective parameter on the reduction of critical force is parameter B with 66% effect. Also, the second most effective parameter on the critical force is the M parameter with 22% effect. The most effective parameters for critical time are parameters B and M with 76% and 15% respectively.