Cantilever dynamics modelling for the Transverse Dynamic Force Microscope
Cantilever dynamics modelling for the Transverse Dynamic Force Microscope
复制标题
DOI：
10.1109/cdc.2014.7039564
复制
发表时间：
2014-12
期刊：
影响因子：
--
通讯作者：
Thang Nguyen-Tien;C. Edwards;G. Herrmann;T. Hatano;S. Burgess;M. Miles
中科院分区：
文献类型：
--
作者：
Thang Nguyen-Tien;C. Edwards;G. Herrmann;T. Hatano;S. Burgess;M. Miles
本文研究了横向动态力显微镜（TDFM）悬臂梁的动力学特性。提出了一种将悬臂梁动力学模型中的无理传递函数级数展开为二阶有理传递函数的无穷和的方法，建立了有限维线性时不变系统模型。悬臂梁的近似模型，然后可以得到使用有限数量的有理传递函数。这种方法保留了基础偏微分方程的物理常数，并将它们保留在近似模型中。未来的工作将使用这些有限维LTI系统的观测器和控制器的TDFM在布里斯托大学的NSQI中心的设计基础。
This paper studies the dynamics of the cantilever in a Transverse Dynamic Force Microscope (TDFM). A series expansion approach for the irrational transfer functions of modelling the cantilever dynamics is presented in terms of an infinite sum of second-order rational transfer functions and a finite dimensional linear time invariant (LTI) system model is developed. An approximate model of the cantilever can then be obtained using a finite number of rational transfer functions. This approach preserves the physical constants from the underlying partial differential equation, and retains them in the approximate model. Future work will use these finite dimensional LTI systems as the basis for the design of observers and controllers for the TDFM at the NSQI centre at the University of Bristol.