V-shaped and triangular cantilevers are widely employed in atomic force microscope (AFM) imaging techniques due to their stability. For the design of vibration control systems of AFM cantilevers which utilize patched piezo actuators, obtaining an accurate system model is indispensable prior to acquiring the information related to natural modes. A general differential quadrature element method (...

Precision of nano-metric operations is an important issue in nano-engineering studies. Several operative parameters might affect the quality of results. The parameters of the nano world are significant but not entirely controllable. However, the geometrical and mechanical properties of micro cantilevers are completely controllable. So, controlling the sensitivity of resulting image through t la...

In this paper, the free vibration analysis of sandwich micro beam with piezoelectric layers based on the modified couple stress and surface elasticity theories are investigated. The Hamilton’s principle is employed to derive the sandwich micro beam with piezoelectric based on modified couple stress theory incorporating with Gurtin- Murdoch surface theory. The generalized differential quadrature...

The quadrature modeling technique is nowadays widely used for the nonlinear ( simulation of RFrmicrowave communication circuits and systems at the behavioral sys) tem level. It allows one to simulate the circuitrsystem performance under real-world ( ) conditions and signals using several thousand sample frequencies and to predict such parameters as adjacent channel power ratio, spectral regrowt...

Density tracking by quadrature (DTQ) is a numerical procedure for computing solutions to Fokker-Planck equations that describe probability densities stochastic differential (SDEs). In this paper, we extend upon existing trapezoidal rule DTQ procedures utilizing flexible allows unstructured, adaptive meshes. We the N -dimensions, and demonstrate resulting can be significantly more efficient than...