The performance of atomic force microscopy cantilevers, as measured by the resonant frequency and spring constant, is directly dependent on the shape of the cantilever. Here we have improved the performance of conventional silicon nitride cantilevers by using focused ion beam milling to minimize the width of the cantilever legs. The resonant frequency in solution for any given spring constant i...

This paper has as subject a theoretical, numerical and experimental study of the behavior 1.5 meters long cross section 0.02 wide high beam. The main objective was to analyze structure, in this case it cantilever steel beam, establish possible solutions that best define obtain results prove veracity obtained by means an analysis method. In sense, essential theoretical foundations were used for ...

A simulation of a cantilever beam was carried out with the aim of comparing the performance of two mesh-free methods: element-free Galerkin and radial point interpolation methods. In this implementation, we use two different methods to set boundary conditions. The results were compared with the analytical solution of the cantilever problem using Timoshenko formulation [Tim70]. In the paper, we ...

We present a simple theoretical framework to describe the thermal noise of a microscopic mechanical beam in a viscous fluid: we use the Sader approach to describe the effect of the surrounding fluid (added mass and viscous drag), and the fluctuation dissipation theorem for each flexural modes of the system to derive a general expression for the power spectrum density of fluctuations. This predi...