Because of the extensive use of AFM in the displacement of nanoparticles, this paper has focused on the modeling and dynamical analysis of cylindrical nanoparticles during 3D-nanomanipulation by AFM probe. Since it is not possible to observe the manipulation process, it is crucial to know the dynamic model of manipulation process. Therefore, the development of dynamic modeling of a nanocylinder with different shapes (e.g. nanotubes, nanorods and nanowires) is necessary for having an accurate manipulation. In this research, a comprehensive model of pushing-based 3D-manipulation of a cylindrical nanoparticle by an AFM probe which includes all the effective phenomena in nanoscale is presented. In the proposed model, the Time-varying interaction force between the sphere and cylinder is extracted based on the Derjaguin model and its formula is presented. One of the main features of this model is that the friction force has been considered as a distributed force acting on a variable length. The presented kinematic relation makes it possible to determine the distance of the pushing point at any moment. The proposed model, in addition to providing the first and second critical time and force, provides useful information about the movement manner of nanoparticles and probes from the beginning of the movement to the destination and allows control of the manipulation process. Simulations have been carried out for MWCNTs with two different diameters and lengths in sliding and spinning modes. Using simulation results, the model is validated through comparison with an experimental result in a previous research.

由于原子力显微镜在纳米粒子置换中的广泛应用，本文着重研究了原子力显微镜探针在3D纳米夹持过程中圆柱纳米粒子的建模和动力学分析。由于无法观察操纵过程，因此了解操纵过程的动态模型至关重要。因此，开发具有不同形状的纳米圆柱体（例如纳米管，纳米棒和纳米线）的动态建模对于精确操纵是必要的。在这项研究中，提出了一个全面的模型，该模型通过AFM探针对圆柱状纳米颗粒进行基于推动的3D操纵，该模型包括了纳米级的所有有效现象。在建议的模型中，基于Derjaguin模型，提取了球体与圆柱体之间的时变相互作用力，并给出了其公式。该模型的主要特征之一是摩擦力被认为是作用在可变长度上的分布力。所呈现的运动关系使得可以随时确定推动点的距离。所提出的模型除了提供第一和第二临界时间和作用力外，还提供了有关纳米粒子和探针从运动开始到目的地的运动方式的有用信息，并允许控制操作过程。已经在滑动和旋转模式下对具有两种不同直径和长度的MWCNT进行了仿真。使用模拟结果，