For more than two decades, the Atomic Force Microscope (AFM) has provided valuable insights in nanoscale phenomena, and it is now widely employed by scientists from various disciplines. AFMs use a cantilever beam with a sharp tip to scan the surface of a sample both to image it and to perform mechanical testing. The AFM measures the deflection of the probe beam so one must first find the spring...

Atomic force acoustic microscopy methods to determine thin-film elastic properties" (2003). We discuss atomic force acoustic microscopy ͑AFAM͒ methods to determine quantitative values for the elastic properties of thin films. The AFAM approach measures the frequencies of an AFM cantilever's first two flexural resonances while in contact with a material. The indentation modulus M of an unknown or ...

This work presents geometrically non-linear static analysis of a cantilever beam subjected to a non-follower transversal point load at the free end of the beam. The material of the beam is assumed as isotropic and hyperelastic. In this study, finite element model of the beam is constructed by using total Lagrangian finite element model of two dimensional continua for a twelve-node quadratic ele...

The dynamic properties of inkjet-printed Ag thin films on flexible substrates were measured using flexural wave propagation. The Ag nanoparticle suspension was inkjet-printed on polyimide (PI), silicon wafer, and glass. The effects of flexible substrates on the dynamic properties of the films were investigated. Beam-shaped Ag-printed substrates were fabricated by pico-second laser pulse cutting...

Free vibration analysis of higher-order shear deformation beam resting on one- and two-parameter elasticfoundation is studied using differential transform method (DTM) as a part of a calculation procedure. First,the governing differential equations of beam are derived in a general form considering the shear-freeboundary conditions (zero shear stress conditions at the top and bottom of a beam). ...

Reducing waste material plays an essential role for engineers in the current world. Nowadays, recycled materials are going to be used in order to manufacture concrete beams. Previous studies concluded that the currently proposed formulas to predict the flexural and shear behavior of the reinforced concrete beams were not appropriate for those manufactured by recycled materials. This study aims ...

The instantaneous displacement, velocity and acceleration of a cantilever tip impacting onto a graphite surface are reconstructed. The total dissipated energy and the dissipated energy per cycle of each excited flexural mode during the tip interaction is retrieved. The tip dynamics evolution is studied by wavelet analysis techniques that have general relevance for multi-mode atomic force micros...

Vibrating micro- and nanomechanical mass sensors are capable of quantitatively determining attached mass from only the first three (two) measured cantilever (suspended) resonant frequencies. However, in aqueous solutions that are relevant to most biological systems, the mass determination is challenging because the quality factor (Q-factor) due to fluid damping decreases and, as a result, usual...

In this paper, we consider the existence of extremal solutions for nonlinear fourth-order differential equation. By use a new comparison result, some sufficient conditions are established by combining monotone iterative technique and methods lower upper solutions. Finally, an example is given to illustrate validity our main results.

The analysis of natural vibration characteristics has become one of the important steps of the manufacture and dynamic design in different industries. An efficient approach called transfer matrix method of linear multibody systems (MSTMM) is proposed to determine the free vibration of a cantilever beam carrying any number of elastically mounted point masses vibrating in a plane. The components ...