| Restriction on installation of a standard TR-AFM nanoneedle can significantly affect the dynamics of the system. Therefore, the position of attached nanoneedle when developing the mathematical model is very important. In the course of TR-AFM manufacture process, the nanoneedle axis may not precisely pass through the middle of the cantilever width, which would produce coupled flexural-torsional modes in the dynamic response of the system. In this investigation, we study the impact of nanoneedle offset distance from centerline in dynamic operation of TR-AFM. In this paper, a comprehensive distributed model is presented. We have used Hamilton's principle to derive equations of motion and then assumed mode method (AMM) is employed. It is discovered that nanoneedle offset from centerline gives rise to considerable effects on dynamics of TR-AFM and by increasing the eccentricity, its impacts become more conspicuous. Therefore, including the eccentricity of nanoneedle in dynamics of TR-AFM and examine its influence on dynamic of system can help to improve high-resolution surface topography imaging. |
