This paper focuses on the development of a complete model of an atomic force microscope (AFM) micro-cantilever beam, based on considering the effects of four major factors in modeling the cantilever. They are: rotary inertia and shear deformation of the beam and mass and rotary inertia of the tip. A method based on distributed-parameter modeling approach is proposed to solve the governing equat...

The free vibration analysis of rotating functionally graded (FG) nano-beams under an in-plane thermal loading is provided for the first time in this paper. The formulation used is based on Euler-Bernoulli beam theory through Hamilton’s principle and the small scale effect has been formulated using the Eringen elasticity theory. Then, they are solved by a generalized differential quadrature meth...

Measurement of gas density and viscosity was conducted using a micro-cantilever beam. In parallel, the validity of the proposed modeling approach was evaluated. This study also aimed to widen the database of the gases on which the model development of the micro-cantilever beams is based. The density and viscosity of gases are orders of magnitude lower than liquids. For this reason, the use of a...

In this study, the dynamic characteristics of a plate-like micro-cantilever beam attached with multiple concentrated masses are studied. The vibration modes of the cantilever plate are represented by combinations of beam functions. Using classical mechanics (the effect of size is not considered) and the corrected Cosserat's theorem (the effect of size is considered), we employ the Lagrange equa...

Micro-cantilever sensors for mass detection using resonance frequency have attracted considerable attention over the last decade in the field of gas sensing. For such a sensing system, an oscillator circuit loop is conventionally used to actuate the micro-cantilever, and trace the frequency shifts. In this paper, gas experiments are introduced to investigate the mechanical resonance frequency s...

Micromechanical cantilevers show great potential as highly sensitive biochemical sensors. Cantilever-based sensing involves the transduction of a biomolecular interaction to a measurable mechanical change in the cantilever resulting from induced surface stresses added mass. In surface stress sensing applications, one side of the cantilever beam is rendered sensitive to a specific target molecul...

Micromechanical cantilevers show great potential as highly sensitive biochemical sensors. Cantilever-based sensing involves the transduction of a biomolecular interaction to a measurable mechanical change in the cantilever resulting from induced surface stresses added mass. In surface stress sensing applications, one side of the cantilever beam is rendered sensitive to a specific target molecul...

Micromechanical cantilevers show great potential as highly sensitive biochemical sensors. Cantilever-based sensing involves the transduction of a biomolecular interaction to a measurable mechanical change in the cantilever resulting from induced surface stresses added mass. In surface stress sensing applications, one side of the cantilever beam is rendered sensitive to a specific target molecul...

Micromechanical cantilevers show great potential as highly sensitive biochemical sensors. Cantilever-based sensing involves the transduction of a biomolecular interaction to a measurable mechanical change in the cantilever resulting from induced surface stresses added mass. In surface stress sensing applications, one side of the cantilever beam is rendered sensitive to a specific target molecul...

gyroscopes are used as rotation rate sensors. conventional gyroscopes are heavy and bulky, which creates important problems regarding their usage in different applications. micro-gyroscopes have solved these problems due to their small size. the beam micro-gyroscope is one of the popular types of inertial sensors. their small dimensions and low energy consumption are key reasons for their popul...